137151297374728

Names of 137151297374728

• Cardinal: 137151297374728 can be written as One hundred thirty-seven trillion, one hundred fifty-one billion, two hundred ninety-seven million, three hundred seventy-four thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37151297374728 × 10¹⁴

Factors of 137151297374728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 137

Divisors of 137151297374728

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 13 14 17 19 26 28 34 38 49 52 56 68 76 79 91 98 104 119 133 136 152 158 169 182 196 221 238 247 266 316 323 338 364 392 442 476 494 532 553 632 637 646 676 728 833 884 931 952 988 1027 1064 1106 1183 1274 1292 1343 1352 1501 1547 1666 1729 1768 1862 1976 2054 2197 2212 2261 2366 2548 2584 2686 2873 3002 3094 3211 3332 3458 3724 3871 4108 4199 4394 4424 4522 4732 5096 5372 5746 6004 6188 6241 6422 6664 6916 7189 7448 7742 8216 8281 8398 8788 9044 9401 9464 10507 10744 10829 11492 12008 12103 12376 12482 12844 13351 13832 14378 15379 15484 15827 16562 16796 17459 17576 18088 18802 19513 20111 21014 21658 22477 22984 24206 24964 25517 25688 26702 28756 29393 30758 30968 31654 33124 33592 34918 37349 37604 39026 40222 41743 42028 43316 43687 44954 48412 49928 50323 51034 53404 54587 57512 58786 61516 63308 65807 66248 69836 73549 74698 75208 78052 80444 81133 83486 84056 86632 87374 89908 93457 96824 100646 102068 106097 106808 107653 109174 117572 118579 122213 123032 126616 131614 136591 139672 140777 147098 149396 156104 157339 160888 162266 166972 173563 174748 178619 179816 186914 201292 204136 205751 212194 215306 218348 226967 235144 237158 244426 253669 261443 263228 273182 281554 292201 294196 298792 305809 314678 324532 331721 333944 347126 349496 357238 373828 382109 402584 411502 424388 430612 436696 453934 474316 488852 493039 507338 522886 526456 546364 563108 567931 584402 588392 611618 629356 649064 654199 663442 694252 709631 714476 742679 747656 764218 823004 830053 848776 855491 861224 907868 948632 956137 977704 986078 1014676 1045772 1054729 1092728 1126216 1135862 1168804 1214941 1223236 1250333 1258712 1308398 1326884 1379261 1388504 1419262 1428952 1485358 1528436 1541527 1588769 1646008 1660106 1710982 1775683 1815736 1830101 1912274 1972156 2015843 2029352 2045407 2091544 2109458 2271724 2322047 2337608 2429882 2446472 2500666 2616796 2653768 2674763 2758522 2838524 2950571 2970716 3056872 3083054 3177538 3297697 3320212 3421964 3451273 3551366 3660202 3824548 3944312 3975517 4031686 4090814 4218916 4312373 4543448 4644094 4859764 4967417 5001332 5198753 5233592 5349526 5517044 5677048 5810371 5901142 5941432 6166108 6355076 6409507 6595394 6640424 6843928 6902546 7102732 7320404 7383103 7649096 7951034 8063372 8181628 8381663 8437832 8504587 8624746 9288188 9367741 9654827 9719528 9934834 10002664 10397506 10699052 10790689 11034088 11121383 11620742 11802284 12332216 12429781 12710152 12819014 13190788 13711477 13805092 14110901 14205464 14640808 14766206 15902068 16126744 16254329 16363256 16763326 17009174 17249492 17930393 18576376 18735482 19309654 19869668 20039851 20653997 20795012 21398104 21581378 22242766 23083879 23241484 23604568 24158911 24859562 25638028 26205959 26381576 27422954 27610184 28221802 29532412 30186611 31804136 32508658 33526652 34018348 34498984 34771919 35860786 37470964 38619308 39739336 40079702 41307994 41590024 43162756 44485532 44866549 46167758 46482968 48317822 49719124 51276056 51681721 52411918 54845908 56060849 56443604 58671641 59064824 60373222 65017316 65574187 67053304 67583789 68036696 69543838 71721572 74941928 75534823 77238616 80159404 82615988 83323591 86325512 88971064 89733098 92335516 95980339 96635644 98776307 99438248 103363442 104823836 108961619 109691816 112121698 112887208 117343282 120746444 121780633 125512751 130034632 131148374 135167578 139087676 140278957 143443144 144577979 151069646 159251597 160318808 161587153 165231976 166647182 179466196 183441713 184671032 191960678 193271288 197552614 206726884 209647672 211306277 217923238 224243396 233095109 234686564 241492888 243561266 251025502 260518063 262296748 270335156 278175352 280557914 289155958 302139292 314065843 318503194 323174306 333294364 340677467 358932392 366883426 383921356 392425943 395105228 410701487 413453768 422612554 435846476 448486792 459019309 466190218 469373128 487122532 502051004 521036126 524593496 540670312 561115828 578311916 583265137 604278584 628131686 637006388 646348612 666588728 671862373 681354934 733766852 762731333 767842712 784851886 790210456 821402974 845225108 852464431 871692952 878589257 918038618 932380436 974245064 981952699 1004102008 1042072252 1083206683 1114761179 1122231656 1156623832 1166530274 1256263372 1274012776 1284091991 1292697224 1343724746 1362709868 1416501047 1467533704 1525462666 1569703772 1583148229 1631665763 1642805948 1690450216 1704928862 1757178514 1823626441 1836077236 1864760872 1963905398 2070270761 2084144504 2166413366 2229522358 2333060548 2384742269 2512526744 2568183982 2687449492 2725419736 2746981601 2833002094 3050925332 3139407544 3166296458 3263331526 3285611896 3409857724 3514357028 3647252882 3672154472 3927810796 4082855959 4140541522 4332826732 4428807071 4459044716 4666121096 4769484538 5136367964 5339119331 5374898984 5493963202 5666004188 5967251017 6101850664 6332592916 6526663052 6819715448 7028714056 7294505764 7582446781 7803328253 7855621592 8165711918 8281083044 8665653464 8857614142 8918089432 9538969076 9915507329 10272735928 10678238662 10987926404 11082037603 11332008376 11421660341 11934502034 12665185832 12765385087 13053326104 14491895327 14589011528 15164893562 15606656506 16331423836 16562166088 16693195883 17715228284 18414513611 19077938152 19831014658 20580926977 21356477324 21975852808 22164075206 22843320682 23869004068 25530770174 26913519893 28983790654 30329787124 31001649497 31213313012 32662847672 33386391766 35430456568 36829027222 39662029316 41161853954 42712954648 44328150412 45686641364 47738008136 51061540348 53077127467 53827039786 57967581308 60659574248 62003298994 62426626024 66772783532 69408551303 73658054444 77574263221 79324058632 82323707908 88656300824 91373282728 101443267289 102123080696 106154254934 107654079572 115935162616 124006597988 128901595277 133545567064 138817102606 144066488839 147316108888 155148526442 164647415816 188394639251 202886534578 212308509868 215308159144 217011546479 248013195976 257803190554 277634205212 288132977678 310297052884 349875758609 376789278502 405773069156 424617019736 434023092958 515606381108 555268410424 576265955356 620594105768 699751517218 753578557004 811546138312 868046185916 902311166939 1008465421873 1031212762216 1152531910712 1318762474757 1399503034436 1507157114008 1736092371832 1804622333878 2016930843746 2449130310263 2637524949514 2799006068872 3609244667756 4033861687492 4898260620526 5275049899028 7218489335512 8067723374984 9796521241052 10550099798056 17143912171841 19593042482104 34287824343682 68575648687364 137151297374728
• Sum of all divisors σ(n): 365813159040000
• Sum of proper divisors (its aliquot sum) s(n): 228661861665272
• 137151297374728 is an abundant number, because the sum of its proper divisors (228661861665272) is greater than itself. Its abundance is 91510564290544

Bases of 137151297374728

• Binary: 11111001011110100000110010111000100101000001000₂
• Hexadecimal: 0x7CBD065C4A08
• Base-36: 1CM6FPBCP4

Squares and roots of 137151297374728

• 137151297374728 squared (137151297374728²) is 18810478371571071584853073984
• 137151297374728 cubed (137151297374728³) is 2579881512900233334764529164191379955876352
• The square root of 137151297374728 is 11711161.2308399205
• The cube root of 137151297374728 is 51570.3374694045

Scales and comparisons

• 137,151,297,374,728 seconds is equal to 4,360,987 years, 1 week, 4 hours, 5 minutes, 28 seconds.
• To count from 1 to 137,151,297,374,728 would take you about ten million, nine hundred two thousand, four hundred sixty-seven 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 137151297374728 cubic inches would be around 4297.5 feet tall.

Recreational maths with 137151297374728

• 137151297374728 backwards is 827473792151731
• The number of decimal digits it has is: 15
• The sum of 137151297374728's digits is 67
• More coming soon!