137842219008

Names of 137842219008

• Cardinal: 137842219008 can be written as One hundred thirty-seven billion, eight hundred forty-two million, two hundred nineteen thousand and eight.

Scientific notation

• Scientific notation: 1.37842219008 × 10¹¹

Factors of 137842219008

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 191

Divisors of 137842219008

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 17 18 19 24 26 32 34 36 38 39 48 51 52 57 64 68 72 76 78 96 102 104 114 117 128 136 137 144 152 153 156 169 171 192 204 208 221 228 234 247 256 272 274 288 304 306 312 323 338 342 384 408 411 416 442 456 468 494 507 512 544 548 576 608 612 624 646 663 676 684 741 768 816 822 832 884 912 936 969 988 1014 1024 1088 1096 1152 1216 1224 1233 1248 1292 1326 1352 1368 1482 1521 1536 1632 1644 1664 1768 1781 1824 1872 1938 1976 1989 2028 2048 2176 2192 2223 2304 2329 2432 2448 2466 2496 2584 2603 2652 2704 2736 2873 2907 2964 3042 3072 3211 3264 3288 3328 3536 3562 3648 3744 3876 3952 3978 4056 4199 4352 4384 4446 4608 4658 4864 4896 4932 4992 5168 5206 5304 5343 5408 5472 5746 5814 5928 6084 6144 6422 6528 6576 6656 6987 7072 7124 7296 7488 7752 7809 7904 7956 8112 8398 8619 8704 8768 8892 9216 9316 9633 9728 9792 9864 9984 10336 10412 10608 10686 10816 10944 11492 11628 11856 12168 12597 12844 13056 13152 13312 13974 14144 14248 14592 14976 15504 15618 15808 15912 16029 16224 16796 17238 17408 17536 17784 18432 18632 19266 19456 19584 19728 19968 20672 20824 20961 21216 21372 21632 21888 22984 23153 23256 23427 23712 24336 25194 25688 25857 26112 26304 26624 27948 28288 28496 28899 29184 29952 30277 31008 31236 31616 31824 32058 32448 33592 33839 34476 34816 35072 35568 37264 37791 38532 38912 39168 39456 39936 41344 41648 41922 42432 42744 43264 43776 44251 45968 46306 46512 46854 47424 48672 50388 51376 51714 52224 52608 54587 55896 56576 56992 57798 58368 59904 60554 62016 62472 63232 63648 64116 64896 67184 67678 68952 69459 70144 71136 74528 75582 77064 78336 78912 79872 82688 83296 83844 84864 85488 86528 87552 88502 90831 91936 92612 93024 93708 94848 97344 100776 101517 102752 103428 104448 105216 109174 111792 113152 113984 115596 116736 119808 121108 124032 124944 126464 127296 128232 129792 132753 134368 135356 137904 138918 140288 142272 149056 151164 154128 156672 157824 163761 165376 166592 167688 169728 170976 173056 175104 177004 181662 183872 185224 186048 187416 189696 194688 201552 203034 205504 206856 208377 210432 218348 223584 226304 227968 231192 239616 242216 248064 249888 252928 254592 256464 259584 265506 268736 270712 272493 275808 277836 280576 284544 298112 302328 304551 308256 313344 315648 327522 330752 333184 335376 339456 341952 346112 350208 354008 363324 367744 370448 372096 374832 379392 389376 393601 398259 403104 406068 411008 413712 416754 420864 436696 439907 447168 452608 455936 462384 484432 491283 496128 499776 505856 509184 512928 519168 531012 537472 541424 544986 551616 555672 569088 575263 596224 604656 609102 616512 631296 655044 661504 666368 670752 678912 683904 708016 726648 735488 740896 744192 749664 758784 778752 787202 796518 806208 812136 822016 827424 833508 841728 873392 879814 894336 911872 924768 968864 982566 992256 999552 1018368 1025856 1038336 1062024 1074944 1082848 1089972 1103232 1111344 1138176 1150526 1180803 1192448 1209312 1218204 1233024 1262592 1310088 1319721 1332736 1341504 1357824 1367808 1416032 1453296 1470976 1481792 1488384 1499328 1517568 1557504 1574404 1593036 1612416 1624272 1644032 1654848 1667016 1725789 1746784 1759628 1788672 1823744 1849536 1937728 1965132 1984512 1999104 2036736 2051712 2124048 2149888 2165696 2179944 2206464 2222688 2276352 2301052 2361606 2384896 2418624 2436408 2466048 2525184 2620176 2639442 2665472 2683008 2735616 2832064 2906592 2941952 2963584 2976768 2998656 3115008 3148808 3186072 3224832 3248544 3288064 3309696 3334032 3451578 3493568 3519256 3542409 3577344 3647488 3699072 3875456 3930264 3959163 3998208 4073472 4103424 4248096 4299776 4331392 4359888 4412928 4445376 4552704 4602104 4723212 4769792 4837248 4872816 4932096 5177367 5240352 5278884 5330944 5366016 5471232 5664128 5813184 5883904 5927168 5953536 5997312 6297616 6372144 6449664 6497088 6576128 6619392 6668064 6903156 6987136 7038512 7084818 7154688 7398144 7478419 7750912 7860528 7918326 7996416 8206848 8496192 8599552 8662784 8719776 8825856 8890752 9204208 9446424 9674496 9745632 9864192 10354734 10480704 10557768 10732032 10942464 11328256 11626368 11854336 11994624 12595232 12744288 12899328 12994176 13238784 13336128 13806312 13974272 14077024 14169636 14309376 14796288 14956838 15501824 15721056 15836652 15992832 16413696 16992384 17325568 17439552 17651712 17781504 18408416 18892848 19348992 19491264 19728384 20709468 20961408 21115536 21464064 22435257 22656512 23252736 23708672 23989248 25190464 25488576 25798656 25988352 26477568 26672256 27612624 27948544 28154048 28339272 29592576 29913676 31003648 31442112 31673304 32827392 33984768 34651136 34879104 35563008 36816832 37785696 38697984 38982528 41418936 41922816 42231072 42928128 44870514 45313024 46505472 47417344 47978496 50380928 50977152 51976704 52955136 53344512 55225248 55897088 56308096 56678544 59185152 59827352 62007296 62884224 63346608 67305771 67969536 69302272 69758208 71126016 73633664 75571392 77395968 77965056 82837872 83845632 84462144 89741028 90626048 93010944 100761856 101954304 103953408 106689024 110450496 111794176 112616192 113357088 119654704 125768448 126693216 134611542 135939072 139516416 142252032 147267328 151142784 155930112 165675744 167691264 168924288 179482056 186021888 201523712 203908608 207906816 213378048 220900992 225232384 226714176 239309408 251536896 253386432 269223084 271878144 279032832 294534656 302285568 311860224 331351488 335382528 337848576 358964112 403047424 407817216 426756096 441801984 450464768 453428352 478618816 503073792 506772864 538446168 558065664 589069312 604571136 623720448 662702976 675697152 717928224 806094848 815634432 883603968 900929536 906856704 957237632 1006147584 1013545728 1076892336 1178138624 1209142272 1325405952 1351394304 1435856448 1767207936 1813713408 1914475264 2027091456 2153784672 2418284544 2650811904 2702788608 2871712896 3534415872 3627426816 3828950528 4054182912 4307569344 5301623808 5743425792 7254853632 7657901056 8108365824 8615138688 10603247616 11486851584 15315802112 17230277376 22973703168 34460554752 45947406336 68921109504 137842219008
• Sum of all divisors σ(n): 483982808400
• Sum of proper divisors (its aliquot sum) s(n): 346140589392
• 137842219008 is an abundant number, because the sum of its proper divisors (346140589392) is greater than itself. Its abundance is 208298370384

Bases of 137842219008

• Binary: 10000000011000000010010101100000000000₂
• Hexadecimal: 0x2018095800
• Base-36: 1RBNP4W0

Squares and roots of 137842219008

• 137842219008 squared (137842219008²) is 19000477341049436504064
• 137842219008 cubed (137842219008³) is 2619067958901477935148179770048512
• The square root of 137842219008 is 371271.0856072689
• The cube root of 137842219008 is 5165.6790403675

Scales and comparisons

• 137,842,219,008 seconds is equal to 4,382 years, 49 weeks, 5 days, 1 hour, 16 minutes, 48 seconds.
• To count from 1 to 137,842,219,008 would take you about eight thousand, seven hundred sixty-five 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 137842219008 cubic inches would be around 430.5 feet tall.

Recreational maths with 137842219008

• 137842219008 backwards is 800912248731
• The number of decimal digits it has is: 12
• The sum of 137842219008's digits is 45
• More coming soon!