148848128000
148,848,128,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 148848128000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 832 divisors.
148848128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 148848128000:
212 × 53 × 11 × 13 × 19 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 13 × 19 × 107)See below for interesting mathematical facts about the number 148848128000 from the Numbermatics database.
Names of 148848128000
- Cardinal: 148848128000 can be written as One hundred forty-eight billion, eight hundred forty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.48848128 × 1011
Factors of 148848128000
Divisors of 148848128000
- Number of divisors d(n): 832
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 25 26 32 38 40 44 50 52 55 64 65 76 80 88 95 100 104 107 110 125 128 130 143 152 160 176 190 200 208 209 214 220 247 250 256 260 275 286 304 320 325 352 380 400 416 418 428 440 475 494 500 512 520 535 550 572 608 640 650 704 715 760 800 832 836 856 880 950 988 1000 1024 1040 1045 1070 1100 1144 1177 1216 1235 1280 1300 1375 1391 1408 1430 1520 1600 1625 1664 1672 1712 1760 1900 1976 2000 2033 2048 2080 2090 2140 2200 2288 2354 2375 2432 2470 2560 2600 2675 2717 2750 2782 2816 2860 3040 3200 3250 3328 3344 3424 3520 3575 3800 3952 4000 4066 4096 4160 4180 4280 4400 4576 4708 4750 4864 4940 5120 5200 5225 5350 5434 5500 5564 5632 5720 5885 6080 6175 6400 6500 6656 6688 6848 6955 7040 7150 7600 7904 8000 8132 8320 8360 8560 8800 9152 9416 9500 9728 9880 10165 10240 10400 10450 10700 10868 11000 11128 11264 11440 11770 12160 12350 12800 13000 13312 13375 13376 13585 13696 13910 14080 14300 15200 15301 15808 16000 16264 16640 16720 17120 17600 17875 18304 18832 19000 19456 19760 20330 20480 20800 20900 21400 21736 22000 22256 22363 22528 22880 23540 24320 24700 25600 26000 26125 26429 26624 26750 26752 27170 27392 27820 28160 28600 29425 30400 30602 30875 31616 32000 32528 33280 33440 34240 34775 35200 35750 36608 37664 38000 38912 39520 40660 41600 41800 42800 43472 44000 44512 44726 45056 45760 47080 48640 49400 50825 51200 52000 52250 52858 53248 53500 53504 54340 54784 55640 56320 57200 58850 60800 61204 61750 63232 64000 65056 66560 66880 67925 68480 69550 70400 71500 73216 75328 76000 76505 77824 79040 81320 83200 83600 85600 86944 88000 89024 89452 91520 94160 97280 98800 101650 102400 104000 104500 105716 107000 107008 108680 109568 111280 111815 112640 114400 117700 121600 122408 123500 126464 128000 130112 132145 133120 133760 135850 136960 139100 140800 143000 146432 147125 150656 152000 153010 158080 162640 166400 167200 171200 173875 173888 176000 178048 178904 183040 188320 194560 197600 203300 208000 209000 211432 214000 214016 217360 219136 222560 223630 225280 228800 235400 243200 244816 247000 252928 254125 256000 260224 264290 266240 267520 271700 273920 278200 281600 286000 290719 292864 294250 301312 304000 306020 316160 325280 332800 334400 339625 342400 347750 347776 352000 356096 357808 366080 376640 382525 389120 395200 406600 416000 418000 422864 428000 428032 434720 438272 445120 447260 457600 470800 486400 489632 494000 505856 508250 512000 520448 528580 535040 543400 547840 556400 559075 563200 572000 581438 585728 588500 602624 608000 612040 632320 650560 660725 665600 668800 679250 684800 695500 695552 704000 712192 715616 732160 753280 765050 790400 813200 832000 836000 845728 856000 856064 869440 890240 894520 915200 941600 972800 979264 988000 1011712 1016500 1040896 1057160 1070080 1086800 1095680 1112800 1118150 1126400 1144000 1162876 1177000 1205248 1216000 1224080 1264640 1301120 1321450 1331200 1337600 1358500 1369600 1391000 1391104 1408000 1424384 1431232 1453595 1464320 1506560 1530100 1580800 1626400 1664000 1672000 1691456 1712000 1738880 1780480 1789040 1830400 1883200 1912625 1945600 1958528 1976000 2033000 2081792 2114320 2140160 2173600 2191360 2225600 2236300 2288000 2325752 2354000 2410496 2432000 2448160 2529280 2602240 2642900 2675200 2717000 2739200 2782000 2782208 2795375 2816000 2848768 2862464 2907190 2928640 3013120 3060200 3161600 3252800 3303625 3328000 3344000 3382912 3424000 3477760 3560960 3578080 3660800 3766400 3825250 3917056 3952000 4066000 4163584 4228640 4280320 4347200 4451200 4472600 4576000 4651504 4708000 4820992 4864000 4896320 5058560 5204480 5285800 5350400 5434000 5478400 5564000 5564416 5590750 5632000 5697536 5724928 5814380 6026240 6120400 6323200 6505600 6607250 6656000 6688000 6765824 6848000 6955520 7121920 7156160 7267975 7321600 7532800 7650500 7834112 7904000 8132000 8327168 8457280 8694400 8902400 8945200 9152000 9303008 9416000 9728000 9792640 10408960 10571600 10700800 10868000 10956800 11128000 11128832 11181500 11449856 11628760 12052480 12240800 12646400 13011200 13214500 13376000 13531648 13696000 13911040 14243840 14312320 14535950 14643200 15065600 15301000 15668224 15808000 16264000 16914560 17388800 17804800 17890400 18304000 18606016 18832000 19585280 20817920 21143200 21401600 21736000 22256000 22363000 22899712 23257520 24104960 24481600 25292800 26022400 26429000 26752000 27063296 27392000 27822080 28487680 28624640 29071900 30131200 30602000 31336448 31616000 32528000 33829120 34777600 35609600 35780800 36339875 36608000 37212032 37664000 39170560 41635840 42286400 43472000 44512000 44726000 45799424 46515040 48963200 52044800 52858000 53504000 54126592 54784000 55644160 57249280 58143800 60262400 61204000 62672896 63232000 65056000 67658240 69555200 71219200 71561600 72679750 73216000 74424064 75328000 78341120 84572800 86944000 89024000 89452000 91598848 93030080 97926400 104089600 105716000 107008000 108253184 114498560 116287600 120524800 122408000 126464000 130112000 135316480 139110400 142438400 143123200 145359500 148848128 150656000 156682240 169145600 173888000 178048000 178904000 186060160 195852800 208179200 211432000 228997120 232575200 244816000 260224000 270632960 278220800 286246400 290719000 297696256 301312000 313364480 338291200 347776000 356096000 357808000 372120320 391705600 422864000 457994240 465150400 489632000 520448000 541265920 572492800 581438000 595392512 602624000 676582400 695552000 712192000 715616000 744240640 783411200 845728000 930300800 979264000 1040896000 1144985600 1162876000 1190785024 1353164800 1391104000 1431232000 1488481280 1566822400 1691456000 1860601600 1958528000 2289971200 2325752000 2706329600 2862464000 2976962560 3382912000 3721203200 3917056000 4651504000 5724928000 5953925120 6765824000 7442406400 7834112000 9303008000 11449856000 13531648000 14884812800 18606016000 29769625600 37212032000 74424064000 148848128000
- Sum of all divisors σ(n): 463686612480
- Sum of proper divisors (its aliquot sum) s(n): 314838484480
- 148848128000 is an abundant number, because the sum of its proper divisors (314838484480) is greater than itself. Its abundance is 165990356480
Bases of 148848128000
- Binary: 100010101010000000101000110000000000002
- Hexadecimal: 0x22A80A3000
- Base-36: 1WDOBYM8
Squares and roots of 148848128000
- 148848128000 squared (1488481280002) is 22155765209104384000000
- 148848128000 cubed (1488481280003) is 3297844175782716114993152000000000
-
The
square root of 148848128000 is 385808.4084101849 -
The
cube root of 148848128000 is 5299.6573648201
Scales and comparisons
How big is 148848128000?- 148,848,128,000 seconds is equal to 4,732 years, 47 weeks, 2 days, 6 hours, 13 minutes, 20 seconds.
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To count from 1 to 148,848,128,000 would take you about nine thousand, four hundred sixty-five 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 148848128000 cubic inches would be around 441.6 feet tall.
Recreational maths with 148848128000
- 148848128000 backwards is 000821848841
- 148848128000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 148848128000's digits is 44
- More coming soon!
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