137137320427520

Names of 137137320427520

• Cardinal: 137137320427520 can be written as One hundred thirty-seven trillion, one hundred thirty-seven billion, three hundred twenty million, four hundred twenty-seven thousand, five hundred twenty.

Scientific notation

• Scientific notation: 1.3713732042752 × 10¹⁴

Factors of 137137320427520

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 36487

Divisors of 137137320427520

• Number of divisors d(n): 544
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 53 56 62 64 70 80 106 112 124 128 140 155 160 212 217 224 248 256 265 280 310 320 371 424 434 448 496 512 530 560 620 640 742 848 868 896 992 1024 1060 1085 1120 1240 1280 1484 1643 1696 1736 1792 1855 1984 2048 2120 2170 2240 2480 2560 2968 3286 3392 3472 3584 3710 3968 4096 4240 4340 4480 4960 5120 5936 6572 6784 6944 7168 7420 7936 8192 8215 8480 8680 8960 9920 10240 11501 11872 13144 13568 13888 14336 14840 15872 16384 16430 16960 17360 17920 19840 20480 23002 23744 26288 27136 27776 28672 29680 31744 32768 32860 33920 34720 35840 36389 39680 40960 46004 47488 52576 54272 55552 57344 57505 59360 63488 65536 65720 67840 69440 71680 72778 79360 81920 92008 94976 105152 108544 111104 114688 115010 118720 126976 131440 135680 138880 143360 145556 158720 163840 181945 184016 189952 210304 217088 222208 229376 230020 237440 253952 254723 262880 271360 277760 286720 291112 317440 327680 363890 368032 379904 420608 434176 444416 458752 460040 474880 507904 509446 525760 542720 555520 573440 582224 634880 727780 736064 759808 841216 868352 888832 920080 949760 1015808 1018892 1051520 1085440 1111040 1128059 1146880 1164448 1269760 1273615 1455560 1472128 1519616 1682432 1736704 1777664 1840160 1899520 1928617 2031616 2037784 2103040 2170880 2222080 2256118 2293760 2328896 2539520 2547230 2911120 2944256 3039232 3364864 3473408 3555328 3680320 3799040 3857234 4075568 4206080 4341760 4444160 4512236 4657792 5079040 5094460 5640295 5822240 5888512 6078464 6729728 7110656 7360640 7598080 7714468 7896413 8151136 8412160 8683520 8888320 9024472 9315584 9643085 10158080 10188920 11280590 11644480 11777024 12156928 13459456 13500319 14221312 14721280 15196160 15428936 15792826 16302272 16824320 17367040 17776640 18048944 18631168 19286170 20377840 22561180 23288960 23554048 24313856 26918912 27000638 29442560 30392320 30857872 31585652 32604544 33648640 35553280 36097888 37262336 38572340 39482065 40755680 45122360 46577920 47108096 53837824 54001276 58885120 59787127 60784640 61715744 63171304 65209088 67297280 67501595 71106560 72195776 74524672 77144680 78964130 81511360 90244720 93155840 94216192 107675648 108002552 117770240 119574254 121569280 123431488 126342608 130418176 134594560 135003190 144391552 149049344 154289360 157928260 163022720 180489440 186311680 188432384 216005104 235540480 239148508 246862976 252685216 260836352 269189120 270006380 288783104 298098688 298935635 308578720 315856520 326045440 360978880 372623360 376864768 418509889 432010208 471080960 478297016 493725952 505370432 521672704 538378240 540012760 577566208 596197376 597871270 617157440 631713040 652090880 721957760 745246720 753729536 837019778 864020416 942161920 956594032 987451904 1010740864 1043345408 1080025520 1155132416 1192394752 1195742540 1234314880 1263426080 1304181760 1443915520 1490493440 1674039556 1728040832 1884323840 1913188064 1974903808 2021481728 2086690816 2092549445 2160051040 2310264832 2384789504 2391485080 2468629760 2526852160 2608363520 2887831040 2980986880 3348079112 3456081664 3768647680 3826376128 3949807616 4042963456 4173381632 4185098890 4320102080 4620529664 4782970160 4937259520 5053704320 5216727040 5775662080 5961973760 6696158224 6912163328 7652752256 7899615232 8085926912 8346763264 8370197780 8640204160 9241059328 9565940320 9874519040 10107408640 10433454080 11551324160 11923947520 13392316448 13824326656 15305504512 15799230464 16171853824 16693526528 16740395560 17280408320 18482118656 19131880640 19749038080 20214817280 20866908160 23102648320 26784632896 27648653312 30611009024 31598460928 32343707648 33480791120 34560816640 36964237312 38263761280 39498076160 40429634560 41733816320 46205296640 53569265792 55297306624 61222018048 63196921856 64687415296 66961582240 69121633280 73928474624 76527522560 78996152320 80859269120 83467632640 92410593280 107138531584 110594613248 122444036096 126393843712 129374830592 133923164480 138243266560 153055045120 157992304640 161718538240 184821186560 214277063168 221189226496 244888072192 258749661184 267846328960 276486533120 306110090240 315984609280 323437076480 369642373120 428554126336 442378452992 489776144384 517499322368 535692657920 552973066240 612220180480 631969218560 646874152960 857108252672 884756905984 979552288768 1071385315840 1105946132480 1224440360960 1293748305920 1714216505344 1959104577536 2142770631680 2211892264960 2448880721920 2587496611840 3428433010688 3918209155072 4285541263360 4423784529920 4897761443840 6856866021376 8571082526720 9795522887680 13713732042752 17142165053440 19591045775360 27427464085504 34284330106880 68568660213760 137137320427520
• Sum of all divisors σ(n): 395615814543360
• Sum of proper divisors (its aliquot sum) s(n): 258478494115840
• 137137320427520 is an abundant number, because the sum of its proper divisors (258478494115840) is greater than itself. Its abundance is 121341173688320

Bases of 137137320427520

• Binary: 11111001011100111000101010001010000000000000000₂
• Hexadecimal: 0x7CB9C5450000
• Base-36: 1CM00JSV7K

Squares and roots of 137137320427520

• 137137320427520 squared (137137320427520²) is 18806644654040294275573350400
• 137137320427520 cubed (137137320427520³) is 2579092854087629851458777345970046763008000
• The square root of 137137320427520 is 11710564.4794570003
• The cube root of 137137320427520 is 51568.5855832645

Scales and comparisons

• 137,137,320,427,520 seconds is equal to 4,360,542 years, 30 weeks, 6 days, 22 hours, 45 minutes, 20 seconds.
• To count from 1 to 137,137,320,427,520 would take you about ten million, nine hundred one thousand, three hundred fifty-six 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 137137320427520 cubic inches would be around 4297.4 feet tall.

Recreational maths with 137137320427520

• 137137320427520 backwards is 025724023731731
• The number of decimal digits it has is: 15
• The sum of 137137320427520's digits is 47
• More coming soon!