137295307039968

Names of 137295307039968

• Cardinal: 137295307039968 can be written as One hundred thirty-seven trillion, two hundred ninety-five billion, three hundred seven million, thirty-nine thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37295307039968 × 10¹⁴

Factors of 137295307039968

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 23079

Divisors of 137295307039968

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 49 56 63 66 72 77 84 88 96 98 99 112 121 126 132 144 147 154 168 176 196 198 224 231 242 252 264 288 294 308 336 352 363 392 396 441 462 484 504 528 539 588 616 672 693 726 784 792 847 882 924 968 1008 1056 1078 1089 1176 1232 1386 1452 1568 1584 1617 1694 1764 1848 1936 2016 2156 2178 2352 2464 2541 2772 2904 3168 3234 3388 3528 3696 3872 4283 4312 4356 4704 4851 5082 5544 5808 5929 6468 6776 7056 7392 7623 8566 8624 8712 9702 10164 11088 11616 11858 12849 12936 13552 14112 15246 17132 17248 17424 17787 18773 19404 20328 22176 23716 25698 25872 27104 29981 30492 34264 34848 35574 37546 38547 38808 40656 47113 47432 51396 51744 53361 56319 59962 60984 68528 71148 75092 77094 77616 81312 89943 94226 94864 102792 106722 112638 119924 121968 131411 137056 141339 142296 150184 154188 155232 168957 179886 188452 189728 205584 206503 209867 213444 225276 239848 243936 262822 269829 282678 284592 300368 308376 329791 337914 359772 376904 394233 411168 413006 419734 424017 426888 450552 479696 518243 525644 539658 565356 569184 600736 616752 619509 629601 659582 675828 719544 753808 788466 826012 839468 848034 853776 901104 919877 959392 989373 1036486 1051288 1079316 1130712 1182699 1233504 1239018 1259202 1319164 1351656 1439088 1445521 1507616 1554729 1576932 1652024 1678936 1696068 1707552 1802208 1839754 1858527 1888803 1978746 2072972 2102576 2158632 2261424 2271533 2308537 2365398 2478036 2518404 2638328 2703312 2759631 2878176 2891042 2968119 3109458 3153864 3304048 3357872 3392136 3627701 3679508 3717054 3777606 3957492 4145944 4205152 4317264 4336563 4522848 4543066 4617074 4664187 4730796 4956072 5036808 5276656 5406624 5519262 5782084 5936238 6218916 6307728 6608096 6715744 6784272 6814599 6925611 7255402 7359016 7434108 7555212 7914984 8278893 8291888 8634528 8673126 9086132 9234148 9328374 9461592 9912144 10073616 10118647 10553312 10883103 11038524 11564168 11872476 12437832 12615456 13009689 13568544 13629198 13851222 14510804 14718032 14868216 15110424 15829968 15900731 16557786 16583776 17346252 18172264 18468296 18656748 18923184 19824288 20147232 20237294 20443797 20776833 21766206 22077048 23128336 23744952 24875664 25393907 26019378 27258396 27702444 29021608 29436064 29736432 30220848 30355941 31659936 31801462 32649309 33115572 34692504 36344528 36936592 37313496 37846368 40474588 40887594 41553666 43532412 44154096 46256672 47489904 47702193 49751328 50787814 52038756 54516792 55404888 58043216 59472864 60441696 60711882 63602924 65298618 66231144 69385008 72689056 73873184 74626992 76181721 80404759 80949176 81775188 83107332 87064824 88308192 91067823 94979808 95404386 101575628 104077512 109033584 110809776 111305117 116086432 121423764 127205848 130597236 132462288 138770016 143106579 149253984 152363442 160809518 161898352 163550376 166214664 174129648 182135646 190808772 203151256 208155024 218067168 221619552 222610234 228545163 241214277 242847528 254411696 261194472 264924576 286213158 304726884 321619036 323796704 327100752 332429328 333915351 348259296 364271292 381617544 406302512 416310048 445220468 457090326 482428554 485695056 508823392 522388944 562833313 572426316 609453768 643238072 654201504 664858656 667830702 723642831 728542584 763235088 812605024 884452349 890440936 914180652 964857108 971390112 1001746053 1044777888 1125666626 1144852632 1218907536 1286476144 1335661404 1447285662 1457085168 1526470176 1688499939 1768904698 1780881872 1828361304 1929714216 2003492106 2251333252 2289705264 2437815072 2572952288 2653357047 2671322808 2894571324 2914170336 3376999878 3537809396 3561763744 3656722608 3859428432 3939833191 4006984212 4502666504 4579410528 5065499817 5306714094 5342645616 5789142648 6191166443 6753999756 7075618792 7313445216 7718856864 7879666382 7960071141 8013968424 9005333008 9728975839 10130999634 10613428188 10685291232 11578285296 11819499573 12382332886 13507999512 14151237584 15759332764 15920142282 16027936848 18010666016 18573499329 19457951678 20261999268 21226856376 23156570592 23638999146 24764665772 27015999024 28302475168 29186927517 31518665528 31840284564 32055873696 35458498719 37146998658 38915903356 40523998536 42453712752 43338165101 47277998292 49529331544 54031998048 55720497987 58373855034 63037331056 63680569128 68102830873 70916997438 74293997316 77831806712 81047997072 84907425504 86676330202 87560782551 94555996584 99058663088 111440995974 116747710068 126074662112 127361138256 130014495303 136205661746 141833994876 148587994632 155663613424 162095994144 173352660404 175121565102 189111993168 198117326176 204308492619 222881991948 233495420136 254722276512 260028990606 272411323492 283667989752 297175989264 311327226848 346705320808 350243130204 378223986336 390043485909 408616985238 445763983896 466990840272 476719816111 520057981212 544822646984 567335979504 594351978528 612925477857 693410641616 700486260408 780086971818 817233970476 891527967792 933981680544 953439632222 1040115962424 1089645293968 1134671959008 1225850955714 1386821283232 1400972520816 1430159448333 1560173943636 1634467940952 1783055935584 1906879264444 2080231924848 2179290587936 2451701911428 2801945041632 2860318896666 3120347887272 3268935881904 3813758528888 4160463849696 4290478344999 4903403822856 5720637793332 6240695774544 6537871763808 7627517057776 8580956689998 9806807645712 11441275586664 12481391549088 15255034115552 17161913379996 19613615291424 22882551173328 34323826759992 45765102346656 68647653519984 137295307039968
• Sum of all divisors σ(n): 499363360665624
• Sum of proper divisors (its aliquot sum) s(n): 362068053625656
• 137295307039968 is an abundant number, because the sum of its proper divisors (362068053625656) is greater than itself. Its abundance is 224772746585688

Bases of 137295307039968

• Binary: 11111001101111010001110000000010110010011100000₂
• Hexadecimal: 0x7CDE8E0164E0
• Base-36: 1CO0LCY9K0

Squares and roots of 137295307039968

• 137295307039968 squared (137295307039968²) is 18850001335199086661949441024
• 137295307039968 cubed (137295307039968³) is 2588016721019965362737190819573269626847232
• The square root of 137295307039968 is 11717308.0116538713
• The cube root of 137295307039968 is 51588.3808744097

Scales and comparisons

• 137,295,307,039,968 seconds is equal to 4,365,566 years, 4 weeks, 1 day, 16 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,295,307,039,968 would take you about ten million, nine hundred thirteen thousand, nine hundred fifteen 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 137295307039968 cubic inches would be around 4299 feet tall.

Recreational maths with 137295307039968

• 137295307039968 backwards is 869930703592731
• 137295307039968 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137295307039968's digits is 72
• More coming soon!