148379201536000
148,379,201,536,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 148379201536000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
148379201536000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 148379201536000:
215 × 53 × 232 × 31 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 23 × 23 × 31 × 47 × 47)See below for interesting mathematical facts about the number 148379201536000 from the Numbermatics database.
Names of 148379201536000
- Cardinal: 148379201536000 can be written as One hundred forty-eight trillion, three hundred seventy-nine billion, two hundred one million, five hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.48379201536 × 1014
Factors of 148379201536000
Divisors of 148379201536000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 31 32 40 46 47 50 62 64 80 92 94 100 115 124 125 128 155 160 184 188 200 230 235 248 250 256 310 320 368 376 400 460 470 496 500 512 529 575 620 640 713 736 752 775 800 920 940 992 1000 1024 1058 1081 1150 1175 1240 1280 1426 1457 1472 1504 1550 1600 1840 1880 1984 2000 2048 2116 2162 2209 2300 2350 2480 2560 2645 2852 2875 2914 2944 3008 3100 3200 3565 3680 3760 3875 3968 4000 4096 4232 4324 4418 4600 4700 4960 5120 5290 5405 5704 5750 5828 5875 5888 6016 6200 6400 7130 7285 7360 7520 7750 7936 8000 8192 8464 8648 8836 9200 9400 9920 10240 10580 10810 11045 11408 11500 11656 11750 11776 12032 12400 12800 13225 14260 14570 14720 15040 15500 15872 16000 16384 16399 16928 17296 17672 17825 18400 18800 19840 20480 21160 21620 22090 22816 23000 23312 23500 23552 24064 24800 24863 25600 26450 27025 28520 29140 29440 30080 31000 31744 32000 32768 32798 33511 33856 34592 35344 35650 36425 36800 37600 39680 40960 42320 43240 44180 45632 46000 46624 47000 47104 48128 49600 49726 50807 51200 52900 54050 55225 57040 58280 58880 60160 62000 63488 64000 65596 66125 67022 67712 68479 69184 70688 71300 72850 73600 75200 79360 81920 81995 84640 86480 88360 89125 91264 92000 93248 94000 94208 96256 99200 99452 101614 102400 105800 108100 110450 114080 116560 117760 120320 124000 124315 126976 128000 131192 132250 134044 135125 135424 136958 138368 141376 142600 145700 147200 150400 158720 163840 163990 167555 169280 172960 176720 178250 182125 182528 184000 186496 188000 188416 192512 198400 198904 203228 204800 211600 216200 220900 228160 233120 235520 240640 248000 248630 253952 254035 256000 262384 264500 268088 270250 270848 273916 276125 276736 282752 285200 291400 294400 300800 317440 327980 335110 338560 342395 345920 353440 356500 364250 365056 368000 372992 376000 376832 385024 396800 397808 406456 409600 409975 423200 432400 441800 456320 466240 471040 481280 496000 497260 507904 508070 512000 524768 529000 536176 540500 541696 547832 552250 553472 565504 570400 582800 588800 601600 621575 634880 655960 670220 677120 684790 691840 706880 713000 728500 730112 736000 745984 752000 753664 770048 770753 793600 795616 812912 819200 819950 837775 846400 864800 883600 912640 932480 942080 962560 992000 994520 1015808 1016140 1024000 1049536 1058000 1072352 1081000 1083392 1095664 1104500 1106944 1131008 1140800 1165600 1168561 1177600 1203200 1243150 1269760 1270175 1311920 1340440 1354240 1369580 1383680 1413760 1426000 1457000 1460224 1472000 1491968 1504000 1540096 1541506 1575017 1587200 1591232 1625824 1639900 1675550 1692800 1711975 1729600 1767200 1825280 1864960 1884160 1925120 1984000 1989040 2032280 2048000 2049875 2099072 2116000 2144704 2162000 2166784 2191328 2209000 2213888 2262016 2281600 2331200 2337122 2355200 2406400 2486300 2539520 2540350 2623840 2680880 2708480 2739160 2767360 2827520 2852000 2914000 2920448 2944000 2983936 3008000 3083012 3107875 3150034 3174400 3182464 3251648 3279800 3351100 3385600 3423950 3459200 3534400 3650560 3729920 3768320 3850240 3853765 3968000 3978080 4064560 4096000 4099750 4188875 4198144 4232000 4289408 4324000 4333568 4382656 4418000 4427776 4524032 4563200 4662400 4674244 4710400 4812800 4972600 5079040 5080700 5247680 5361760 5416960 5478320 5534720 5655040 5704000 5828000 5840896 5842805 5888000 5967872 6016000 6166024 6215750 6300068 6348800 6350875 6364928 6503296 6559600 6702200 6771200 6847900 6918400 7068800 7301120 7459840 7700480 7707530 7875085 7936000 7956160 8129120 8199500 8377750 8396288 8464000 8559875 8578816 8648000 8667136 8765312 8836000 8855552 9048064 9126400 9324800 9348488 9420800 9625600 9945200 10161400 10495360 10723520 10833920 10956640 11069440 11310080 11408000 11656000 11681792 11685610 11776000 11935744 12032000 12332048 12431500 12600136 12697600 12701750 12729856 13006592 13119200 13404400 13542400 13695800 13836800 14137600 14602240 14919680 15415060 15750170 15872000 15912320 16258240 16399000 16755500 16792576 16928000 17119750 17157632 17296000 17334272 17530624 17672000 17711104 18096128 18252800 18649600 18696976 18841600 19251200 19268825 19890400 20322800 20990720 21447040 21667840 21913280 22138880 22620160 22816000 23312000 23363584 23371220 23552000 23871488 24064000 24664096 24863000 25200272 25395200 25403500 25459712 26013184 26238400 26808800 27084800 27391600 27673600 28275200 29204480 29214025 29839360 30830120 31500340 31744000 31824640 32516480 32798000 33511000 33585152 33856000 34239500 34315264 34592000 35061248 35344000 35422208 36192256 36225391 36505600 37299200 37393952 38502400 38537650 39375425 39780800 40645600 41981440 42894080 43335680 43826560 44277760 45240320 45632000 46624000 46742440 47104000 47742976 48128000 49328192 49726000 50400544 50807000 50919424 52026368 52476800 53617600 54169600 54783200 55347200 56550400 58408960 58428050 59678720 61660240 63000680 63488000 63649280 65032960 65596000 67022000 67170304 67712000 68479000 68630528 69184000 70122496 70688000 72384512 72450782 73011200 74598400 74787904 77075300 78750850 79561600 81291200 83962880 85788160 86671360 87653120 88555520 90480640 91264000 93248000 93484880 94208000 96256000 96344125 98656384 99452000 100801088 101614000 101838848 104052736 104953600 107235200 108339200 109566400 110694400 113100800 116817920 116856100 119357440 123320480 126001360 126976000 127298560 130065920 131192000 134044000 134340608 135424000 136958000 137261056 138368000 140244992 141376000 144901564 146022400 146070125 149196800 149575808 154150600 157501700 159123200 162582400 167925760 171576320 175306240 177111040 180961280 181126955 182528000 186496000 186969760 192512000 192688250 196877125 197312768 198904000 201602176 203228000 203677696 208105472 209907200 214470400 216678400 219132800 221388800 226201600 233712200 238714880 246640960 252002720 254597120 260131840 262384000 268088000 268681216 270848000 273916000 274522112 276736000 280489984 282752000 289803128 292044800 292140250 298393600 299151616 308301200 315003400 318246400 325164800 335851520 343152640 350612480 361922560 362253910 365056000 372992000 373939520 385376500 393754250 394625536 397808000 403204352 406456000 407355392 416210944 419814400 428940800 433356800 438265600 442777600 452403200 467424400 493281920 504005440 509194240 520263680 524768000 536176000 537362432 541696000 547832000 549044224 553472000 560979968 565504000 579606256 584089600 584280500 596787200 598303232 616602400 630006800 636492800 650329600 671703040 686305280 701224960 724507820 730112000 745984000 747879040 770753000 787508500 789251072 795616000 806408704 812912000 814710784 832421888 839628800 857881600 876531200 885555200 904806400 905634775 934848800 986563840 1008010880 1018388480 1040527360 1049536000 1072352000 1083392000 1095664000 1098088448 1106944000 1121959936 1131008000 1159212512 1168561000 1193574400 1196606464 1233204800 1260013600 1272985600 1300659200 1343406080 1372610560 1402449920 1449015640 1460224000 1491968000 1495758080 1541506000 1575017000 1578502144 1591232000 1612817408 1625824000 1664843776 1679257600 1715763200 1753062400 1809612800 1811269550 1869697600 1973127680 2016021760 2036776960 2081054720 2099072000 2144704000 2166784000 2191328000 2213888000 2243919872 2262016000 2318425024 2337122000 2393212928 2466409600 2520027200 2545971200 2601318400 2686812160 2745221120 2804899840 2898031280 2920448000 2983936000 2991516160 3083012000 3150034000 3157004288 3182464000 3225634816 3251648000 3358515200 3431526400 3506124800 3622539100 3739395200 3946255360 4032043520 4073553920 4162109440 4198144000 4289408000 4382656000 4427776000 4524032000 4528173875 4636850048 4674244000 4786425856 4932819200 5040054400 5091942400 5202636800 5490442240 5609799680 5796062560 5967872000 5983032320 6166024000 6300068000 6314008576 6364928000 6451269632 6503296000 6717030400 6863052800 7012249600 7245078200 7478790400 7892510720 8064087040 8324218880 8396288000 8578816000 8765312000 9048064000 9056347750 9273700096 9348488000 9572851712 9865638400 10080108800 10183884800 10405273600 11219599360 11592125120 11966064640 12332048000 12600136000 12628017152 12729856000 12902539264 13006592000 13434060800 13726105600 14024499200 14490156400 14957580800 15785021440 16128174080 16792576000 17157632000 17530624000 18112695500 18547400192 18696976000 19145703424 19731276800 20160217600 20367769600 20810547200 23184250240 23932129280 24664096000 25200272000 25256034304 25459712000 25805078528 26013184000 27452211200 28048998400 28980312800 29915161600 31570042880 32256348160 33585152000 34315264000 35061248000 36225391000 37094800384 37393952000 38291406848 39462553600 40320435200 41621094400 46368500480 47864258560 49328192000 50400544000 50919424000 51610157056 52026368000 56097996800 57960625600 59830323200 63140085760 64512696320 67170304000 68630528000 70122496000 72450782000 74189600768 74787904000 78925107200 80640870400 92737000960 95728517120 98656384000 100801088000 101838848000 104052736000 115921251200 119660646400 126280171520 129025392640 137261056000 140244992000 144901564000 148379201536 149575808000 157850214400 161281740800 185474001920 191457034240 197312768000 201602176000 208105472000 231842502400 239321292800 258050785280 280489984000 289803128000 296758403072 299151616000 315700428800 322563481600 370948003840 394625536000 403204352000 463685004800 478642585600 579606256000 593516806144 598303232000 631400857600 645126963200 741896007680 789251072000 806408704000 927370009600 957285171200 1159212512000 1187033612288 1196606464000 1290253926400 1483792015360 1578502144000 1612817408000 1854740019200 2318425024000 2393212928000 2967584030720 3157004288000 3225634816000 3709480038400 4636850048000 4786425856000 5935168061440 6451269632000 7418960076800 9273700096000 14837920153600 18547400192000 29675840307200 37094800384000 74189600768000 148379201536000
- Sum of all divisors σ(n): 408323683797120
- Sum of proper divisors (its aliquot sum) s(n): 259944482261120
- 148379201536000 is an abundant number, because the sum of its proper divisors (259944482261120) is greater than itself. Its abundance is 111565280725120
Bases of 148379201536000
- Binary: 1000011011110011001110011001100110000000000000002
- Hexadecimal: 0x86F339998000
- Base-36: 1GLGGPK1Z4
Squares and roots of 148379201536000
- 148379201536000 squared (1483792015360002) is 22016387448460904759296000000
- 148379201536000 cubed (1483792015360003) is 3266773990309841400296482753478656000000000
-
The
square root of 148379201536000 is 12181100.1775701689 -
The
cube root of 148379201536000 is 52940.8621900095
Scales and comparisons
How big is 148379201536000?- 148,379,201,536,000 seconds is equal to 4,717,999 years, 33 weeks, 2 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 148,379,201,536,000 would take you about eleven million, seven hundred ninety-four thousand, nine hundred ninety-nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 148379201536000 cubic inches would be around 4411.7 feet tall.
Recreational maths with 148379201536000
- 148379201536000 backwards is 000635102973841
- The number of decimal digits it has is: 15
- The sum of 148379201536000's digits is 49
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 148379201536000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 148379201536000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/148379201536000/
Chicago style:
Numbermatics. 2024. "Number 148379201536000 - Facts about the integer". https://numbermatics.com/n/148379201536000/
The information we have on file for 148379201536000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 148379201536000, math, Factors of 148379201536000, curriculum, school, college, exams, university, Prime factorization of 148379201536000, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-eight trillion, three hundred seventy-nine billion, two hundred one million, five hundred thirty-six thousand.