137152814782464

Names of 137152814782464

• Cardinal: 137152814782464 can be written as One hundred thirty-seven trillion, one hundred fifty-two billion, eight hundred fourteen million, seven hundred eighty-two thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 1.37152814782464 × 10¹⁴

Factors of 137152814782464

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 1295

Divisors of 137152814782464

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 169 192 208 216 234 243 256 288 312 324 338 351 384 416 432 468 486 507 512 576 624 648 676 702 768 832 864 936 972 1014 1024 1053 1152 1248 1277 1296 1352 1404 1521 1536 1664 1728 1872 1944 2028 2048 2106 2304 2496 2554 2592 2704 2808 3042 3072 3159 3328 3456 3744 3831 3888 4056 4212 4563 4608 4992 5108 5184 5408 5616 6084 6144 6318 6656 6912 7488 7662 7776 8112 8424 9126 9216 9984 10216 10368 10816 11232 11493 12168 12636 13312 13689 13824 14976 15324 15552 16224 16601 16848 18252 18432 19968 20432 20736 21632 22464 22986 24336 25272 26624 27378 27648 29952 30648 31104 32448 33202 33696 34479 36504 39936 40864 41067 41472 43264 44928 45972 48672 49803 50544 54756 55296 59904 61296 62208 64896 66404 67392 68958 73008 79872 81728 82134 82944 86528 89856 91944 97344 99606 101088 103437 109512 119808 122592 124416 129792 132808 134784 137916 146016 149409 163456 164268 165888 173056 179712 183888 194688 199212 202176 206874 215813 219024 239616 245184 248832 259584 265616 269568 275832 292032 298818 310311 326912 328536 346112 359424 367776 389376 398424 404352 413748 431626 438048 448227 490368 497664 519168 531232 539136 551664 584064 597636 620622 647439 653824 657072 718848 735552 778752 796848 808704 827496 863252 876096 896454 980736 1038336 1062464 1078272 1103328 1168128 1195272 1241244 1294878 1307648 1314144 1344681 1471104 1557504 1593696 1617408 1630729 1654992 1726504 1752192 1792908 1942317 1961472 2124928 2156544 2206656 2336256 2390544 2482488 2589756 2615296 2628288 2689362 2942208 3115008 3187392 3234816 3261458 3309984 3453008 3504384 3585816 3884634 3922944 4034043 4249856 4413312 4672512 4781088 4892187 4964976 5179512 5256576 5378724 5826951 5884416 6374784 6469632 6522916 6619968 6906016 7008768 7171632 7769268 7845888 8068086 8499712 8826624 9345024 9562176 9784374 9929952 10359024 10513152 10757448 11653902 11768832 12749568 13045832 13239936 13812032 14017536 14343264 14676561 15538536 16136172 16999424 17480853 17653248 19124352 19568748 19859904 20718048 21026304 21199477 21514896 23307804 23537664 25499136 26091664 26479872 27624064 28035072 28686528 29353122 31077072 32272344 33998848 34961706 35306496 38248704 39137496 39719808 41436096 42052608 42398954 43029792 44029683 46615608 50998272 52183328 52442559 52959744 55248128 57373056 58706244 62154144 63598431 64544688 69923412 70612992 76497408 78274992 79439616 82872192 84105216 84797908 86059584 88059366 93231216 101996544 104366656 104885118 105919488 110496256 114746112 117412488 124308288 127196862 129089376 132089049 139846824 152994816 156549984 158879232 165744384 169595816 172119168 176118732 186462432 190795293 208733312 209770236 211838976 220992512 229492224 234824976 248616576 254393724 258178752 264178098 275593201 279693648 305989632 313099968 317758464 331488768 339191632 344238336 352237464 372924864 381590586 396267147 417466624 419540472 441985024 458984448 469649952 497233152 508787448 516357504 528356196 551186402 559387296 572385879 626199936 635516928 662977536 678383264 688476672 704474928 745849728 763181172 792534294 826779603 834933248 839080944 917968896 939299904 994466304 1017574896 1032715008 1056712392 1102372804 1118774592 1144771758 1252399872 1325955072 1356766528 1376953344 1408949856 1491699456 1526362344 1585068588 1653559206 1669866496 1678161888 1717157637 1878599808 1988932608 2035149792 2065430016 2113424784 2204745608 2237549184 2289543516 2480338809 2504799744 2713533056 2753906688 2817899712 2983398912 3052724688 3170137176 3307118412 3339732992 3356323776 3434315274 3757199616 3977865216 4070299584 4130860032 4226849568 4409491216 4475098368 4579087032 4960677618 5009599488 5151472911 5427066112 5635799424 5966797824 6105449376 6340274352 6614236824 6712647552 6868630548 7441016427 7514399232 8140599168 8261720064 8453699136 8818982432 8950196736 9158174064 9921355236 10019198976 10302945822 10854132224 11271598848 11933595648 12210898752 12680548704 13228473648 13425295104 13737261096 14882032854 15028798464 16281198336 16907398272 17637964864 17900393472 18316348128 19842710472 20605891644 21708264448 22323049281 22543197696 24421797504 25361097408 26456947296 26850590208 27474522192 29764065708 30057596928 32562396672 33814796544 35275929728 35800786944 36632696256 39685420944 41211783288 43416528896 44646098562 45086395392 48843595008 50722194816 52913894592 53701180416 54949044384 59528131416 65124793344 66969147843 67629593088 70551859456 73265392512 79370841888 82423566576 89292197124 90172790784 97687190016 101444389632 105827789184 107402360832 109898088768 119056262832 130249586688 133938295686 135259186176 141103718912 146530785024 158741683776 164847133152 178584394248 195374380032 202888779264 211655578368 219796177536 238112525664 267876591372 270518372352 282207437824 293061570048 317483367552 329694266304 357168788496 390748760064 405777558528 423311156736 439592355072 476225051328 535753182744 564414875648 586123140096 634966735104 659388532608 714337576992 811555117056 846622313472 879184710144 952450102656 1071506365488 1172246280192 1269933470208 1318777065216 1428675153984 1693244626944 1758369420288 1904900205312 2143012730976 2539866940416 2637554130432 2857350307968 3516738840576 3809800410624 4286025461952 5079733880832 5275108260864 5714700615936 7619600821248 8572050923904 10550216521728 11429401231872 15239201642496 17144101847808 22858802463744 34288203695616 45717604927488 68576407391232 137152814782464
• Sum of all divisors σ(n): 445172569912980
• Sum of proper divisors (its aliquot sum) s(n): 308019755130516
• 137152814782464 is an abundant number, because the sum of its proper divisors (308019755130516) is greater than itself. Its abundance is 170866940348052

Bases of 137152814782464

• Binary: 11111001011110101100000110011100001100000000000₂
• Hexadecimal: 0x7CBD60CE1800
• Base-36: 1CM74SQO00

Squares and roots of 137152814782464

• 137152814782464 squared (137152814782464²) is 18810894602752875519641911296
• 137152814782464 cubed (137152814782464³) is 2579967143343816858559026397185875424313344
• The square root of 137152814782464 is 11711226.0153437395
• The cube root of 137152814782464 is 51570.5276558189

Scales and comparisons

• 137,152,814,782,464 seconds is equal to 4,361,035 years, 13 weeks, 6 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 137,152,814,782,464 would take you about ten million, nine hundred two thousand, five hundred eighty-eight 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 137152814782464 cubic inches would be around 4297.5 feet tall.

Recreational maths with 137152814782464

• 137152814782464 backwards is 464287418251731
• The number of decimal digits it has is: 15
• The sum of 137152814782464's digits is 63
• More coming soon!