137040007104

Names of 137040007104

• Cardinal: 137040007104 can be written as One hundred thirty-seven billion, forty million, seven thousand, one hundred four.

Scientific notation

• Scientific notation: 1.37040007104 × 10¹¹

Factors of 137040007104

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 472

Divisors of 137040007104

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 47 48 52 56 63 64 66 72 77 78 84 88 91 94 96 99 104 112 117 126 132 141 143 144 154 156 168 169 176 182 188 192 198 208 224 231 234 252 264 273 282 286 288 308 312 329 336 338 352 364 376 389 396 416 423 429 448 462 468 504 507 517 528 546 564 572 576 611 616 624 658 672 676 693 704 728 752 778 792 819 832 846 858 924 936 987 1001 1008 1014 1034 1056 1092 1128 1144 1167 1183 1222 1232 1248 1287 1316 1344 1352 1386 1456 1504 1521 1551 1556 1584 1638 1692 1716 1833 1848 1859 1872 1974 2002 2016 2028 2068 2112 2184 2256 2288 2334 2366 2444 2464 2496 2574 2632 2704 2723 2772 2912 2961 3003 3008 3042 3102 3112 3168 3276 3384 3432 3501 3549 3619 3666 3696 3718 3744 3948 4004 4032 4056 4136 4277 4279 4368 4512 4576 4653 4668 4732 4888 4928 5057 5148 5264 5408 5446 5499 5544 5577 5824 5922 6006 6084 6204 6224 6336 6552 6721 6768 6864 7002 7098 7238 7332 7392 7436 7488 7896 7943 8008 8112 8169 8272 8554 8558 8736 9009 9024 9152 9306 9336 9464 9776 10114 10296 10528 10647 10816 10857 10892 10998 11088 11154 11844 12012 12168 12408 12448 12831 12837 13013 13104 13442 13536 13728 14004 14196 14476 14664 14784 14872 15171 15792 15886 16016 16224 16338 16544 16731 17108 17116 17472 18018 18283 18612 18672 18928 19552 20163 20228 20592 21056 21294 21714 21784 21996 22176 22308 23688 23829 24024 24336 24507 24816 24896 25662 25674 26026 26208 26884 27072 27456 28008 28392 28952 29328 29744 29953 30342 31584 31772 32032 32448 32571 32676 33088 33462 34216 34232 35399 36036 36566 37224 37344 37856 38493 38511 39039 39104 40326 40456 41184 42588 43428 43568 43992 44352 44616 45513 47047 47376 47658 48048 48672 49014 49632 51324 51348 52052 52416 53768 54849 55601 55627 56016 56784 57904 58656 59488 59906 60489 60684 63168 63544 64064 65142 65352 65741 66924 68432 68464 70798 71487 72072 73132 74448 74688 75712 76986 77022 78078 80652 80912 82368 85176 86856 87136 87373 87984 89232 89859 91026 94094 94752 95316 96096 97344 98028 99264 102648 102696 104104 106197 107536 109698 111202 111254 112032 113568 115808 117117 117312 118976 119812 120978 121368 127088 127981 130284 130704 131482 133848 136864 136928 141141 141596 142974 144144 146264 148896 153972 154044 156156 161304 161824 164547 166803 166881 170352 173712 174272 174746 175968 178464 179718 182052 188188 189504 190632 192192 196056 197223 201113 205296 205392 208208 212394 215072 219396 222404 222508 224064 227136 231616 234234 237679 239624 241956 242736 254176 255962 260568 261408 262119 262964 267696 269577 273728 273856 282282 283192 285948 288288 292528 297792 307944 308088 312312 318591 322608 323648 329094 333606 333762 340704 347424 349492 351936 356928 359436 364104 376376 381264 383943 389389 392112 394446 402226 410592 410784 416416 423423 424788 430144 438792 444808 445016 460187 468468 475358 479248 483912 485472 500409 500643 508352 511924 521136 522816 524238 525928 535392 539154 564564 566384 571896 576576 585056 591669 603339 611611 615888 616176 624624 637182 645216 658188 667212 667524 681408 694848 698984 713037 718872 723151 728208 752752 762528 767886 778778 784224 786357 788892 804452 821184 821568 832832 846846 849576 877584 889616 890032 920374 936936 950716 958496 967824 970944 1000818 1001286 1023848 1042272 1048476 1051856 1070784 1078308 1129128 1132768 1143792 1151829 1168167 1170112 1183338 1206678 1223222 1231776 1232352 1249248 1274364 1290432 1316376 1334424 1335048 1380561 1397968 1407791 1426074 1437744 1446302 1456416 1505504 1525056 1535772 1557556 1568448 1572714 1577784 1608904 1663753 1693692 1699152 1755168 1779232 1780064 1810017 1834833 1840748 1873872 1901432 1916992 1935648 2001636 2002572 2047696 2084544 2096952 2103712 2139111 2156616 2169453 2258256 2265536 2287584 2303658 2336334 2366676 2413356 2446444 2463552 2464704 2498496 2548728 2614469 2632752 2668848 2670096 2761122 2795936 2815582 2852148 2875488 2892604 2912832 3011008 3071544 3089827 3115112 3145428 3155568 3217808 3327506 3387384 3398304 3504501 3510336 3558464 3560128 3620034 3669666 3681496 3747744 3802864 3871296 4003272 4005144 4095392 4141683 4193904 4207424 4223373 4278222 4313232 4338906 4516512 4575168 4607316 4672668 4733352 4826712 4892888 4991259 5062057 5097456 5228938 5265504 5337696 5340192 5504499 5522244 5591872 5631164 5704296 5750976 5785208 6143088 6179654 6230224 6290856 6311136 6435616 6508359 6655012 6774768 6796608 7009002 7240068 7339332 7362992 7495488 7605728 7843407 8006544 8010288 8190784 8283366 8387808 8446746 8556444 8626464 8677812 9033024 9214632 9269481 9345336 9466704 9653424 9785776 9982518 10124114 10194912 10457876 10531008 10675392 10680384 11008998 11044488 11262328 11408592 11570416 12286176 12359308 12460448 12581712 12622272 12670119 12871232 13016718 13310024 13549536 14018004 14480136 14678664 14725984 14973777 15186171 15211456 15686814 16013088 16020576 16566732 16775616 16893492 17112888 17252928 17355624 18301283 18429264 18538962 18690672 18933408 19306848 19571552 19965036 20248228 20389824 20915752 21628789 22017996 22088976 22524656 22817184 23140832 23530221 24572352 24718616 24920896 25163424 25340238 26033436 26620048 27099072 27808443 28036008 28960272 29357328 29451968 29947554 30372342 31373628 32026176 32041152 33133464 33786984 33988097 34225776 34711248 36602566 36858528 37077924 37381344 37866816 38613696 39143104 39930072 40496456 41831504 43257578 44035992 44177952 45049312 45558513 45634368 46281664 47060442 49437232 50326848 50680476 52066872 53240096 54903849 55616886 56072016 57920544 58714656 59895108 60744684 62747256 64886367 66266928 67573968 67976194 68451552 69422496 73205132 73717056 74155848 74762688 79860144 80992912 83663008 86515156 88071984 88355904 90098624 91117026 94120884 98874464 101360952 101964291 104133744 106480192 109807698 111233772 112144032 115841088 117429312 119790216 121489368 125494512 129772734 132533856 135147936 135952388 136903104 138844992 146410264 148311696 159720288 161985824 164711547 167326016 173030312 176143968 182234052 188241768 194659101 197748928 202721904 203928582 208267488 219615396 222467544 224288064 237916679 239580432 242978736 250989024 259545468 265067712 270295872 271904776 292820528 296623392 305892873 319440576 323971648 329423094 346060624 352287936 364468104 376483536 389318202 405443808 407857164 416534976 439230792 444935088 475833358 479160864 485957472 501978048 519090936 543809552 585641056 593246784 611785746 658846188 692121248 713750037 728936208 752967072 778636404 810887616 815714328 878461584 889870176 951666716 958321728 971914944 1038181872 1087619104 1171282112 1223571492 1317692376 1384242496 1427500074 1457872416 1505934144 1557272808 1631428656 1756923168 1779740352 1903333432 2076363744 2141250111 2175238208 2447142984 2635384752 2855000148 2915744832 3114545616 3262857312 3513846336 3806666864 4152727488 4282500222 4894285968 5270769504 5710000296 6229091232 6525714624 7613333728 8565000444 9788571936 10541539008 11420000592 12458182464 15226667456 17130000888 19577143872 22840001184 34260001776 45680002368 68520003552 137040007104
• Sum of all divisors σ(n): 542969256960
• Sum of proper divisors (its aliquot sum) s(n): 405929249856
• 137040007104 is an abundant number, because the sum of its proper divisors (405929249856) is greater than itself. Its abundance is 268889242752

Bases of 137040007104

• Binary: 1111111101000001110001000111111000000₂
• Hexadecimal: 0x1FE8388FC0
• Base-36: 1QYE2Y80

Squares and roots of 137040007104

• 137040007104 squared (137040007104²) is 18779963547064370466816
• 137040007104 cubed (137040007104³) is 2573606337902562367117752436260864
• The square root of 137040007104 is 370189.1504406903
• The cube root of 137040007104 is 5155.6384922129

Scales and comparisons

• 137,040,007,104 seconds is equal to 4,357 years, 23 weeks, 2 days, 4 hours, 38 minutes, 24 seconds.
• To count from 1 to 137,040,007,104 would take you about eight thousand, seven hundred fourteen 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 137040007104 cubic inches would be around 429.6 feet tall.

Recreational maths with 137040007104

• 137040007104 backwards is 401700040731
• The number of decimal digits it has is: 12
• The sum of 137040007104's digits is 27
• More coming soon!