135136315008000
135,136,315,008,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 135136315008000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1760 divisors.
135136315008000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty divisors.
Prime factorization of 135136315008000:
210 × 34 × 53 × 19 × 31 × 22129
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 31 × 22129)See below for interesting mathematical facts about the number 135136315008000 from the Numbermatics database.
Names of 135136315008000
- Cardinal: 135136315008000 can be written as One hundred thirty-five trillion, one hundred thirty-six billion, three hundred fifteen million, eight thousand.
Scientific notation
- Scientific notation: 1.35136315008 × 1014
Factors of 135136315008000
Divisors of 135136315008000
- Number of divisors d(n): 1760
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 31 32 36 38 40 45 48 50 54 57 60 62 64 72 75 76 80 81 90 93 95 96 100 108 114 120 124 125 128 135 144 150 152 155 160 162 171 180 186 190 192 200 216 225 228 240 248 250 256 270 279 285 288 300 304 310 320 324 342 360 372 375 380 384 400 405 432 450 456 465 475 480 496 500 512 513 540 558 570 576 589 600 608 620 640 648 675 684 720 744 750 760 768 775 800 810 837 855 864 900 912 930 950 960 992 1000 1024 1026 1080 1116 1125 1140 1152 1178 1200 1216 1240 1280 1296 1350 1368 1395 1425 1440 1488 1500 1520 1536 1539 1550 1600 1620 1674 1710 1728 1767 1800 1824 1860 1900 1920 1984 2000 2025 2052 2160 2232 2250 2280 2304 2325 2356 2375 2400 2432 2480 2511 2560 2565 2592 2700 2736 2790 2850 2880 2945 2976 3000 3040 3072 3078 3100 3200 3240 3348 3375 3420 3456 3534 3600 3648 3720 3800 3840 3875 3968 4000 4050 4104 4185 4275 4320 4464 4500 4560 4608 4650 4712 4750 4800 4864 4960 5022 5120 5130 5184 5301 5400 5472 5580 5700 5760 5890 5952 6000 6080 6156 6200 6400 6480 6696 6750 6840 6912 6975 7068 7125 7200 7296 7440 7600 7680 7695 7750 7936 8000 8100 8208 8370 8550 8640 8835 8928 9000 9120 9216 9300 9424 9500 9600 9728 9920 10044 10125 10260 10368 10602 10800 10944 11160 11400 11520 11625 11780 11904 12000 12160 12312 12400 12555 12800 12825 12960 13392 13500 13680 13824 13950 14136 14250 14400 14592 14725 14880 15200 15360 15390 15500 15872 15903 16000 16200 16416 16740 17100 17280 17670 17856 18000 18240 18600 18848 19000 19200 19456 19840 20088 20250 20520 20736 20925 21204 21375 21600 21888 22129 22320 22800 23040 23250 23560 23808 24000 24320 24624 24800 25110 25600 25650 25920 26505 26784 27000 27360 27648 27900 28272 28500 28800 29184 29450 29760 30400 30780 31000 31744 31806 32000 32400 32832 33480 34200 34560 34875 35340 35712 36000 36480 37200 37696 38000 38400 38475 39680 40176 40500 41040 41472 41850 42408 42750 43200 43776 44175 44258 44640 45600 46080 46500 47120 47616 47709 48000 48640 49248 49600 50220 51300 51840 53010 53568 54000 54720 55800 56544 57000 57600 58368 58900 59520 60800 61560 62000 62775 63612 64000 64125 64800 65664 66387 66960 68400 69120 69750 70680 71424 72000 72960 73625 74400 75392 76000 76800 76950 79360 79515 80352 81000 82080 82944 83700 84816 85500 86400 87552 88350 88516 89280 91200 93000 94240 95232 95418 96000 97280 98496 99200 100440 102600 103680 104625 106020 107136 108000 109440 110645 111600 113088 114000 115200 117800 119040 121600 123120 124000 125550 127224 128000 128250 129600 131328 132525 132774 133920 136800 138240 139500 141360 142848 144000 145920 147250 148800 150784 152000 153900 158720 159030 160704 162000 164160 167400 169632 171000 172800 175104 176700 177032 178560 182400 186000 188480 190836 192000 192375 196992 198400 199161 200880 205200 207360 209250 212040 214272 216000 218880 220875 221290 223200 226176 228000 230400 235600 238080 238545 243200 246240 248000 251100 254448 256500 259200 262656 265050 265548 267840 273600 279000 282720 285696 288000 291840 294500 297600 301568 304000 307800 313875 318060 321408 324000 328320 331935 334800 339264 342000 345600 353400 354064 357120 364800 372000 376960 381672 384000 384750 393984 396800 397575 398322 401760 410400 414720 418500 420451 424080 428544 432000 437760 441750 442580 446400 452352 456000 471200 476160 477090 486400 492480 496000 502200 508896 513000 518400 525312 530100 531096 535680 547200 553225 558000 565440 576000 589000 595200 597483 603136 608000 615600 627750 636120 642816 648000 656640 662625 663870 669600 678528 684000 685999 691200 706800 708128 714240 729600 744000 753920 763344 769500 787968 793600 795150 796644 803520 820800 837000 840902 848160 857088 864000 875520 883500 885160 892800 904704 912000 942400 954180 984960 992000 995805 1004400 1017792 1026000 1036800 1060200 1062192 1071360 1094400 1106450 1116000 1130880 1152000 1178000 1190400 1192725 1194966 1216000 1231200 1255500 1261353 1272240 1285632 1296000 1313280 1325250 1327740 1339200 1357056 1368000 1371998 1413600 1416256 1428480 1459200 1488000 1507840 1526688 1539000 1575936 1590300 1593288 1607040 1641600 1659675 1674000 1681804 1696320 1728000 1767000 1770320 1785600 1792449 1809408 1824000 1884800 1908360 1969920 1984000 1987875 1991610 2008800 2035584 2052000 2057997 2073600 2102255 2120400 2124384 2142720 2188800 2212900 2232000 2261760 2356000 2380800 2385450 2389932 2432000 2462400 2511000 2522706 2544480 2571264 2592000 2626560 2650500 2655480 2678400 2714112 2736000 2743996 2766125 2827200 2832512 2976000 2987415 3015680 3053376 3078000 3180600 3186576 3214080 3283200 3319350 3348000 3363608 3392640 3429995 3456000 3534000 3540640 3571200 3584898 3648000 3769600 3784059 3816720 3939840 3968000 3975750 3983220 4017600 4071168 4104000 4115994 4204510 4240800 4248768 4285440 4377600 4425800 4464000 4523520 4712000 4770900 4779864 4924800 4979025 5022000 5045412 5088960 5184000 5301000 5310960 5356800 5428224 5472000 5487992 5532250 5654400 5665024 5952000 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6673398272 6727216000 6811306200 6945739875 7038349740 7112437632 7169796000 7265393280 7408789200 7507573056 7568118000 7647782400 7820388600 7902708480 8072659200 8231988000 8341747840 8446019688 8497536000 8514132750 8718471936 8780787200 8797937175 8890547040 9081741600 9177338880 9260986500 9384466320 9483250176 9559728000 9687191040 9775485750 9878385600 10010097408 10090824000 10427184800 10536944640 10557524610 10763545600 10898089920 10975984000 11113183800 11261359584 11352177000 11471673600 11624629248 11730582900 11854062720 12108988800 12347982000 12512621760 12746304000 13033981000 13171180800 13346796544 13454432000 13622612400 13891479750 14076699480 14224875264 14339592000 14530786560 14663228625 14817578400 15015146112 15136236000 15295564800 15640777200 15805416960 16145318400 16463976000 16683495680 16892039376 17028265500 17436943872 17561574400 17595874350 17781094080 18163483200 18521973000 18768932640 18966500352 19119456000 19374382080 19550971500 19756771200 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72653932800 74087892000 75075730560 76477824000 78203886000 79027084800 80726592000 83417478400 84460196880 87184719360 87807872000 87979371750 88905470400 90090876672 90817416000 93844663200 94832501760 96871910400 98783856000 100100974080 104271848000 105575246100 108980899200 111131838000 112613595840 114716736000 117305829000 118540627200 120121168896 121089888000 125126217600 131711808000 131969057625 135136315008 136226124000 140766994800 142248752640 145307865600 148175784000 150151461120 156407772000 158054169600 161453184000 166834956800 168920393760 174369438720 175958743500 177810940800 180181753344 181634832000 187689326400 197567712000 200201948160 208543696000 211150492200 217961798400 222263676000 225227191680 229433472000 234611658000 237081254400 242179776000 250252435200 263423616000 263938115250 270272630016 272452248000 281533989600 284497505280 290615731200 296351568000 300302922240 312815544000 333669913600 337840787520 351917487000 355621881600 360363506688 363269664000 375378652800 395135424000 417087392000 422300984400 435923596800 444527352000 450454383360 469223316000 474162508800 484359552000 500504870400 527876230500 540545260032 544904496000 563067979200 592703136000 600605844480 625631088000 675681575040 703834974000 711243763200 726539328000 750757305600 790270848000 834174784000 844601968800 871847193600 889054704000 900908766720 938446632000 1001009740800 1055752461000 1081090520064 1089808992000 1126135958400 1185406272000 1251262176000 1351363150080 1407669948000 1422487526400 1453078656000 1501514611200 1668349568000 1689203937600 1778109408000 1801817533440 1876893264000 2111504922000 2179617984000 2252271916800 2370812544000 2502524352000 2702726300160 2815339896000 3003029222400 3378407875200 3556218816000 3753786528000 4223009844000 4359235968000 4504543833600 5005048704000 5405452600320 5630679792000 6756815750400 7112437632000 7507573056000 8446019688000 9009087667200 11261359584000 13513631500800 15015146112000 16892039376000 22522719168000 27027263001600 33784078752000 45045438336000 67568157504000 135136315008000
- Sum of all divisors σ(n): 547254320870400
- Sum of proper divisors (its aliquot sum) s(n): 412118005862400
- 135136315008000 is an abundant number, because the sum of its proper divisors (412118005862400) is greater than itself. Its abundance is 276981690854400
Bases of 135136315008000
- Binary: 111101011100111111000000000110101100100000000002
- Hexadecimal: 0x7AE7E00D6400
- Base-36: 1BWGRKU800
Squares and roots of 135136315008000
- 135136315008000 squared (1351363150080002) is 18261823633941406040064000000
- 135136315008000 cubed (1351363150080003) is 2467835551216845127244522572480512000000000
-
The
square root of 135136315008000 is 11624814.6225219437 -
The
cube root of 135136315008000 is 51316.5389168583
Scales and comparisons
How big is 135136315008000?- 135,136,315,008,000 seconds is equal to 4,296,916 years, 42 weeks, 2 days.
-
To count from 1 to 135,136,315,008,000 would take you about ten million, seven hundred forty-two thousand, two hundred ninety-two 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 135136315008000 cubic inches would be around 4276.4 feet tall.
Recreational maths with 135136315008000
- 135136315008000 backwards is 000800513631531
- 135136315008000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135136315008000's digits is 36
- More coming soon!
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"Number 135136315008000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 135136315008000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/135136315008000/
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The information we have on file for 135136315008000 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!
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