137728376766435

Names of 137728376766435

• Cardinal: 137728376766435 can be written as One hundred thirty-seven trillion, seven hundred twenty-eight billion, three hundred seventy-six million, seven hundred sixty-six thousand, four hundred thirty-five.

Scientific notation

• Scientific notation: 1.37728376766435 × 10¹⁴

Factors of 137728376766435

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1094

Divisors of 137728376766435

• Number of divisors d(n): 768
• Complete list of divisors:
  1 3 5 7 13 15 17 21 35 37 39 49 51 65 71 85 91 105 111 119 147 185 195 213 221 245 255 259 273 343 355 357 455 481 497 555 595 629 637 663 735 777 833 923 941 1029 1065 1105 1207 1295 1365 1443 1491 1547 1715 1785 1813 1887 1911 2401 2405 2485 2499 2627 2769 2823 3145 3185 3315 3367 3479 3621 3885 4165 4403 4459 4615 4641 4705 5145 5439 5831 6035 6461 6587 7203 7215 7455 7735 7881 8177 8449 9065 9435 9555 10101 10437 10829 12005 12233 12495 12691 13135 13209 13377 13845 14115 15691 15997 16807 16835 17395 17493 18105 18389 19383 19761 22015 22295 23205 23569 24353 24531 25347 27195 29155 30821 31213 32305 32487 32935 34151 34817 36015 36699 38073 39405 40817 40885 42245 44659 45227 46109 47073 47991 50421 50505 52185 54145 55167 57239 59143 61165 63455 66045 66811 66885 70707 73059 75803 78455 79985 84035 85631 87465 88837 91945 92463 93639 96915 98805 102453 104451 109837 111979 117845 121765 122451 122655 126735 128723 133977 135681 138327 154105 156065 162435 164983 170471 170755 171717 174085 177429 183495 190365 200433 204085 207961 215747 218491 223295 226135 227409 230545 235365 239057 239955 243719 252105 256893 266511 275835 285719 286195 295715 312613 316589 322763 329511 334055 335937 353535 365295 379015 386169 400673 414001 428155 444185 452621 462315 467677 468195 494949 511413 512265 522255 530621 549185 559895 580567 591889 599417 612255 621859 623883 643615 647241 655473 669885 678405 691635 717171 731157 768859 783853 824915 852355 857157 858585 868543 887145 901061 937839 949767 968289 1002165 1039805 1078735 1092455 1135787 1137045 1154881 1193297 1195285 1202019 1218595 1242003 1284465 1332555 1357863 1403031 1428595 1455727 1510229 1563065 1582945 1591863 1613815 1647555 1673399 1679685 1706033 1741701 1775667 1798251 1865577 1930845 2003365 2070005 2188291 2216123 2259341 2263105 2306577 2338385 2351559 2472007 2474745 2557065 2605629 2653105 2703183 2804711 2898007 2902835 2959445 2997085 3109295 3119415 3168347 3236205 3273739 3277365 3407361 3464643 3579891 3585855 3655785 3714347 3844295 3919265 4063969 4143223 4195919 4285785 4342715 4367181 4505305 4530687 4689195 4748835 4841445 5020197 5118099 5382013 5486971 5678935 5774405 5966485 6010095 6079801 6210015 6307427 6564873 6648369 6778023 6789315 7015155 7278635 7416021 7551145 7694557 7950509 7959315 8084167 8366995 8414133 8530165 8694021 8708505 8878335 8991255 9327885 9505041 9821217 10190089 10571603 10941455 11080615 11143041 11296705 11532885 11713793 11757795 11942231 12191907 12360035 12429669 12587757 13028145 13515915 14023555 14490035 14765231 15318037 15512861 15815387 15841735 16146039 16368695 16460913 17036805 17304049 17323215 17899455 18239403 18571735 18922281 19632977 20286049 20319845 20716115 20979595 21835905 22178429 22653435 22916173 23083671 23851527 24252501 25100985 25590495 26910065 27434855 28447783 29002561 29371433 30399005 30570267 31537135 31714809 32136091 32824365 33241845 33890115 35141379 35826693 37080105 37674091 38408797 38472785 39752545 40420835 42024119 42070665 42558607 43470105 44151989 44295693 45954111 46538583 47446161 47525205 49106085 50950445 51912147 52858015 53861899 55653563 55715205 58568965 58898931 59711155 60858147 60959535 62148345 62938785 66535287 68748519 71330623 73826155 76590185 77564305 79076935 80730195 81996551 82304565 83595617 85343349 86520245 87007683 88114299 91197015 94611405 96408273 98164885 101430245 103356617 107226259 110892145 113022273 114580865 115226391 115418355 119257635 121128343 121262505 126072357 127675821 132455967 137430839 142238915 145012805 146857165 152851335 155249003 158574045 160413211 160680455 161585697 166960689 175706895 179133465 188370455 192043985 199134481 203017927 205600031 210120595 212793035 213991869 220759945 221478465 224952637 229770555 232692915 237230805 245989653 250786851 259560735 263718637 268861579 269309495 278267815 294168833 294494655 297910249 304290735 310069851 321678777 332676435 343742595 356653115 363385029 377033293 389574941 409982755 412292517 417978085 426716745 435038415 440571495 465747009 481239633 482041365 499314361 516783085 536131295 546313547 565111365 573975857 576131955 585169319 597403443 605641715 609053781 616800093 630361785 638379105 662279835 674857911 687154195 723496319 750583813 776245015 791155911 802066055 806584737 807928485 834803445 847898401 882506499 893730747 995672405 1015089635 1028000155 1069959345 1086743021 1122892477 1124763185 1131099879 1168724823 1229948265 1253934255 1318593185 1344307895 1393941367 1421125489 1470844165 1489551245 1497943083 1550349255 1574668459 1608393885 1638940641 1721927571 1755507957 1816925145 1885166465 1947874705 2059181831 2061462585 2085371743 2170488957 2251751439 2328735045 2406198165 2496571805 2543695203 2639233051 2727024587 2731567735 2869879285 2925846595 2987017215 3045268905 3084000465 3260229063 3368677431 3374289555 3495200527 3617481595 3752919065 3824194829 3955779555 4032923685 4181824101 4239492005 4263376467 4412532495 4468653735 4724005377 5064474233 5433715105 5614462385 5655499395 5843624115 5935288807 6177545493 6256115229 6969706835 7105627445 7489715415 7607201147 7873342295 7917699153 8181073761 8194703205 8609637855 8777539785 9757589569 9947878423 10295909155 10426858715 10485601581 10852444785 11022679213 11258757195 11472584487 12718476015 13196165255 13635122935 14414272817 14597602201 15193422699 16301145315 16843387155 17476002635 17805866421 18474631357 19089172109 19120974145 20909120505 21316882335 22821603441 23620026885 25322371165 26769363803 29272768707 29676444035 29843635269 30887727465 31280576145 33068037639 35451319631 38036005735 39588495765 40905368805 41547021649 43242818451 43792806603 48787947845 49739392115 52428007905 55113396065 55423894071 57267516327 57362922435 72071364085 72988011005 75967113495 77158754491 80308091409 89029332105 92373156785 95445860545 100899909719 106353958893 114108017205 124641064947 129322419499 133846819015 146363843535 149218176345 165340188195 177256598155 187385546621 207735108245 216214092255 218964033015 231476263473 248159237417 277119470355 286337581635 302699729157 385793772455 387967258497 401540457045 504499548595 531769794465 540111281437 562156639863 623205324735 646612097495 706299368033 744477712251 936927733105 1157381317365 1240796187085 1311698826347 1513498645785 1620333844311 1939836292485 2118898104099 2700556407185 2810783199315 3531496840165 3722388561255 3935096479041 6558494131735 8101669221555 9181891784429 10594490520495 19675482395205 27545675353287 45909458922145 137728376766435
• Sum of all divisors σ(n): 305641326993408
• Sum of proper divisors (its aliquot sum) s(n): 167912950226973
• 137728376766435 is an abundant number, because the sum of its proper divisors (167912950226973) is greater than itself. Its abundance is 30184573460538

Bases of 137728376766435

• Binary: 11111010100001101100010111110001111111111100011₂
• Hexadecimal: 0x7D4362F8FFE3
• Base-36: 1CTJJJHH43

Squares and roots of 137728376766435

• 137728376766435 squared (137728376766435²) is 18969105766717072306542609225
• 137728376766435 cubed (137728376766435³) is 2612584145960763798568487056626853301362875
• The square root of 137728376766435 is 11735773.3774317149
• The cube root of 137728376766435 is 51642.5655782739

Scales and comparisons

• 137,728,376,766,435 seconds is equal to 4,379,336 years, 18 weeks, 4 days, 19 hours, 7 minutes, 15 seconds.
• To count from 1 to 137,728,376,766,435 would take you about ten million, nine hundred forty-eight thousand, three hundred forty 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 137728376766435 cubic inches would be around 4303.5 feet tall.

Recreational maths with 137728376766435

• 137728376766435 backwards is 534667673827731
• The number of decimal digits it has is: 15
• The sum of 137728376766435's digits is 75
• More coming soon!