137906535312

Names of 137906535312

• Cardinal: 137906535312 can be written as One hundred thirty-seven billion, nine hundred six million, five hundred thirty-five thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.37906535312 × 10¹¹

Factors of 137906535312

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 802

Divisors of 137906535312

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 34 36 39 41 42 48 49 51 52 54 56 63 68 72 78 82 84 91 98 102 104 108 112 117 119 123 126 136 144 147 153 156 164 168 182 189 196 204 208 216 221 234 238 246 252 272 273 287 294 306 312 328 336 351 357 364 369 378 392 408 432 441 442 459 468 476 492 504 533 546 574 588 612 624 637 656 663 697 702 714 719 728 738 756 784 816 819 833 861 882 884 918 936 952 984 1008 1066 1071 1092 1107 1148 1176 1224 1274 1323 1326 1394 1404 1428 1438 1456 1476 1512 1547 1599 1638 1666 1722 1764 1768 1836 1872 1904 1911 1968 1989 2009 2091 2132 2142 2157 2184 2214 2296 2352 2448 2457 2499 2548 2583 2646 2652 2788 2808 2856 2876 2952 3024 3094 3198 3213 3276 3332 3444 3528 3536 3672 3731 3822 3978 4018 4182 4264 4284 4314 4368 4428 4592 4641 4797 4879 4914 4998 5033 5096 5166 5292 5304 5576 5616 5712 5733 5752 5904 5967 6027 6188 6273 6396 6426 6471 6552 6664 6888 7056 7344 7462 7497 7644 7749 7956 8036 8364 8528 8568 8628 8856 9061 9282 9347 9594 9758 9828 9996 10066 10192 10332 10584 10608 10829 11152 11193 11466 11504 11934 12054 12223 12376 12546 12792 12852 12942 13104 13328 13776 13923 14391 14637 14924 14994 15099 15288 15498 15912 16072 16728 17136 17199 17256 17712 18081 18122 18564 18694 18819 19188 19413 19516 19656 19992 20132 20664 21168 21658 22386 22491 22932 23868 24108 24446 24752 25092 25584 25704 25884 26117 27183 27846 28041 28782 29274 29479 29848 29988 30198 30576 30996 31824 32144 32487 33456 33579 34153 34398 34512 35231 36162 36244 36669 37128 37388 37638 38376 38826 39032 39312 39984 40264 41328 41769 43316 43911 44772 44982 45297 45864 47736 48216 48892 50184 51408 51768 52234 54243 54366 55692 56082 57564 58548 58958 59696 59976 60396 61992 63427 64974 65429 67158 68306 68796 70462 72324 72488 73338 74256 74776 75276 76752 77652 78064 78351 80528 81549 83538 84123 85561 86632 87822 88437 89544 89964 90594 91728 95472 96432 97461 97784 100368 100737 102459 103536 104468 105693 108486 108732 110007 111384 112164 115128 117096 117916 119952 120792 123984 126854 129948 130858 131733 134316 135891 136612 137592 140924 144648 144976 146676 149552 150552 155304 156702 158899 163098 167076 168246 171122 173264 175644 176874 179088 179928 181188 190281 194922 195568 196287 201474 204918 206353 208936 211386 216972 217464 220014 222768 224328 230256 234192 235053 235832 241584 244647 252369 253708 256683 259896 261716 263466 265311 268632 271782 273224 275184 281848 289296 292383 293352 301104 307377 310608 313404 317079 317798 326196 330021 334152 336492 342244 351288 353748 359856 362376 380562 383227 389844 392574 402948 409836 412706 417872 422772 433944 434928 440028 443989 448656 458003 470106 471664 476697 489294 501143 504738 507416 513366 519792 523432 526932 530622 537264 543564 546448 563696 570843 584766 586704 588861 598927 614754 619059 626808 634158 635596 652392 660042 668304 672984 684488 702576 705159 707496 724752 761124 766454 770049 779688 785148 795933 805896 819672 825412 845544 867888 880056 887978 916006 922131 940212 951237 953394 978588 1002286 1009476 1014832 1026732 1046864 1053864 1061244 1087128 1112293 1141686 1149681 1169532 1177722 1197854 1229508 1238118 1253616 1268316 1271192 1304784 1320084 1331967 1345968 1368976 1374009 1410318 1414992 1430091 1444471 1503429 1522248 1532908 1540098 1559376 1570296 1591866 1611792 1639344 1650824 1691088 1712529 1760112 1766583 1775956 1796781 1832012 1844262 1857177 1880424 1902474 1906788 1957176 2004572 2018952 2053464 2107728 2122488 2174256 2224586 2283372 2299362 2310147 2339064 2355444 2395708 2459016 2476236 2536632 2542384 2640168 2663934 2682589 2748018 2820636 2860182 2888942 3006858 3044496 3065816 3080196 3140592 3183732 3301648 3336879 3425058 3449043 3508001 3533166 3551912 3593562 3664024 3688524 3714354 3760848 3804948 3813576 3914352 3995901 4009144 4037904 4106928 4122027 4244976 4290273 4333413 4449172 4510287 4566744 4598724 4620294 4678128 4710888 4791416 4918032 4952472 5073264 5280336 5327868 5365178 5390343 5496036 5571531 5641272 5720364 5777884 6013716 6131632 6160392 6367464 6514859 6673758 6850116 6898086 7016002 7066332 7103824 7187124 7328048 7377048 7428708 7609896 7627152 7786051 7991802 8018288 8047767 8244054 8580546 8666826 8898344 9020574 9133488 9197448 9240588 9421776 9582832 9904944 10010637 10347129 10524003 10655736 10730356 10780686 10992072 11143062 11282544 11440728 11555768 11987703 12027432 12320784 12366081 12734928 13000239 13029718 13347516 13530861 13700232 13796172 14032004 14132664 14374248 14754096 14857416 15219792 15572102 15983604 16095534 16171029 16488108 17161092 17333652 17796688 18041148 18394896 18481176 18778123 19544577 20021274 20694258 21048006 21311472 21460712 21561372 21984144 22286124 22881456 23111536 23358153 23975406 24054864 24143301 24556007 24732162 26000478 26059436 26695032 27061722 27400464 27592344 28064008 28265328 28748496 29714832 30031911 31144204 31572009 31967208 32191068 32342058 32976216 34322184 34667304 36082296 36962352 37556246 39000717 39089154 40042548 41388516 42096012 42921424 43122744 44572248 45604013 46716306 47950812 48286602 49112014 49464324 52000956 52118872 53390064 54123444 55184688 56128016 56334369 58633731 60063822 62288408 63144018 63934416 64382136 64684116 65952432 68644368 69334608 70074459 72164592 72429903 73668021 75112492 78001434 78178308 80085096 82777032 84192024 86245488 89144496 91208026 93432612 94716027 95901624 96573204 98224028 98928648 104001912 104237744 108246888 112668738 117267462 120127644 124576816 126288036 128764272 129368232 136812039 140148918 144859806 147336042 150224984 156002868 156356616 160170192 165554064 168384048 169003107 175901193 182416052 186865224 189432054 191803248 193146408 196448056 197857296 208003824 210223377 216493776 221004063 225337476 234534924 240255288 252576072 258736464 273624078 280297836 289719612 294672084 300449968 312005736 312713232 319228091 338006214 351802386 364832104 373730448 378864108 386292816 392896112 410436117 420446754 442008126 450674952 469069848 480510576 505152144 507009321 547248156 560595672 579439224 589344168 624011472 638456182 663012189 676012428 703604772 729664208 757728216 820872234 840893508 884016252 901349904 938139696 957684273 1014018642 1094496312 1121191344 1158878448 1178688336 1231308351 1276912364 1326024378 1352024856 1407209544 1515456432 1641744468 1681787016 1768032504 1915368546 2028037284 2188992624 2462616702 2553824728 2652048756 2704049712 2814419088 2873052819 3283488936 3363574032 3536065008 3830737092 4056074568 4925233404 5107649456 5304097512 5746105638 6566977872 7661474184 8112149136 8619158457 9850466808 10608195024 11492211276 15322948368 17238316914 19700933616 22984422552 34476633828 45968845104 68953267656 137906535312
• Sum of all divisors σ(n): 538615526400
• Sum of proper divisors (its aliquot sum) s(n): 400708991088
• 137906535312 is an abundant number, because the sum of its proper divisors (400708991088) is greater than itself. Its abundance is 262802455776

Bases of 137906535312

• Binary: 10000000011011110111101011101110010000₂
• Hexadecimal: 0x201BDEBB90
• Base-36: 1RCPZNO0

Squares and roots of 137906535312

• 137906535312 squared (137906535312²) is 19018212481759902937344
• 137906535312 cubed (137906535312³) is 2622735791186941210334522859491328
• The square root of 137906535312 is 371357.6918713277
• The cube root of 137906535312 is 5166.4823397873

Scales and comparisons

• 137,906,535,312 seconds is equal to 4,385 years, 10 hours, 55 minutes, 12 seconds.
• To count from 1 to 137,906,535,312 would take you about eight thousand, seven hundred seventy 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 137906535312 cubic inches would be around 430.5 feet tall.

Recreational maths with 137906535312

• 137906535312 backwards is 213535609731
• The number of decimal digits it has is: 12
• The sum of 137906535312's digits is 45
• More coming soon!