137599001046016

Names of 137599001046016

• Cardinal: 137599001046016 can be written as One hundred thirty-seven trillion, five hundred ninety-nine billion, one million, forty-six thousand and sixteen.

Scientific notation

• Scientific notation: 1.37599001046016 × 10¹⁴

Factors of 137599001046016

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 456

Divisors of 137599001046016

• Number of divisors d(n): 396
• Complete list of divisors:
  1 2 4 8 16 32 43 47 64 86 94 128 167 172 188 197 256 334 344 376 394 512 668 688 752 788 1024 1336 1376 1504 1576 1849 2021 2209 2672 2752 3008 3152 3698 4042 4418 5344 5504 6016 6304 7181 7396 7849 8084 8471 8836 9259 10688 11008 12032 12608 14362 14792 15698 16168 16942 17672 18518 21376 22016 24064 25216 28724 29584 31396 32336 32899 33884 35344 37036 42752 44032 48128 50432 57448 59168 62792 64672 65798 67768 70688 74072 85504 86903 94987 100864 114896 118336 125584 129344 131596 135536 141376 148144 171008 173806 189974 201728 229792 236672 251168 258688 263192 271072 282752 296288 308783 337507 347612 364253 368903 379948 398137 435173 459584 473344 502336 517376 526384 542144 565504 592576 617566 675014 695224 728506 737806 759896 796274 870346 919168 946688 1004672 1034752 1052768 1084288 1131008 1185152 1235132 1350028 1390448 1414657 1457012 1475612 1519792 1546253 1592548 1740692 1838336 1893376 2009344 2069504 2105536 2168576 2262016 2370304 2470264 2700056 2780896 2829314 2914024 2951224 3039584 3092506 3185096 3481384 3676672 4018688 4084441 4211072 4337152 4740608 4940528 5400112 5561792 5658628 5828048 5902448 6079168 6185012 6370192 6962768 7353344 8037376 8168882 8422144 8674304 9481216 9881056 10800224 11123584 11317256 11656096 11804896 12158336 12370024 12740384 13925536 14512801 15862829 16337764 16844288 17119891 18712439 19762112 21600448 22247168 22634512 23312192 23609792 24316672 24740048 25480768 27851072 29025602 31725658 32675528 33688576 34239782 37424878 39524224 43200896 44494336 45269024 46624384 47219584 48633344 49480096 50961536 55702144 58051204 60830251 63451316 65351056 66488879 68479564 72673891 74849756 79048448 86401792 88988672 90538048 93248768 94439168 97266688 98960192 101923072 111404288 116102408 121660502 126902632 130702112 132977758 136959128 145347782 149699512 158096896 172803584 181076096 186497536 188878336 197920384 203846144 222808576 232204816 243321004 253805264 261404224 265955516 273918256 290695564 299399024 316193792 345607168 362152192 372995072 377756672 395840768 407692288 445617152 464409632 486642008 507610528 522808448 531911032 547836512 581391128 598798048 682101647 724304384 791681536 804634877 928819264 973284016 1015221056 1045616896 1063822064 1095673024 1162782256 1197596096 1364203294 1448608768 1583363072 1609269754 1857638528 1946568032 2030442112 2091233792 2127644128 2191346048 2325564512 2395192192 2728406588 2859021797 3124977313 3218539508 3715277056 3893136064 4060884224 4182467584 4255288256 4382692096 4651129024 4790384384 5456813176 5718043594 6249954626 6437079016 7430554112 7786272128 8121768448 8510576512 8765384192 9302258048 9580768768 10913626352 11436087188 12499909252 12874158032 14861108224 15572544256 16243536896 17021153024 17530768384 18604516096 19161537536 21827252704 22872174376 24999818504 25748316064 31145088512 34042306048 37209032192 43654505408 45744348752 49999637008 51496632128 62290177024 68084612096 74418064384 87309010816 91488697504 99999274016 102993264256 134374024459 174618021632 182977395008 199998548032 205986528512 268748048918 349236043264 365954790016 399997096064 411973057024 537496097836 698472086528 731909580032 799994192128 823946114048 1074992195672 1463819160064 1599988384256 2149984391344 2927638320128 3199976768512 4299968782688 8599937565376 17199875130752 34399750261504 68799500523008 137599001046016
• Sum of all divisors σ(n): 290920608771408
• Sum of proper divisors (its aliquot sum) s(n): 153321607725392
• 137599001046016 is an abundant number, because the sum of its proper divisors (153321607725392) is greater than itself. Its abundance is 15722606679376

Bases of 137599001046016

• Binary: 11111010010010101000011100101000010110000000000₂
• Hexadecimal: 0x7D2543942C00
• Base-36: 1CRW3WISCG

Squares and roots of 137599001046016

• 137599001046016 squared (137599001046016²) is 18933485088861512262149472256
• 137599001046016 cubed (137599001046016³) is 2605228634546983564470068843357886371332096
• The square root of 137599001046016 is 11730260.0587547077
• The cube root of 137599001046016 is 51626.3902932455

Scales and comparisons

• 137,599,001,046,016 seconds is equal to 4,375,222 years, 31 weeks, 5 days, 15 hours, 16 seconds.
• To count from 1 to 137,599,001,046,016 would take you about ten million, nine hundred thirty-eight thousand and 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 137599001046016 cubic inches would be around 4302.2 feet tall.

Recreational maths with 137599001046016

• 137599001046016 backwards is 610640100995731
• The number of decimal digits it has is: 15
• The sum of 137599001046016's digits is 52
• More coming soon!