137819485440

Names of 137819485440

• Cardinal: 137819485440 can be written as One hundred thirty-seven billion, eight hundred nineteen million, four hundred eighty-five thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3781948544 × 10¹¹

Factors of 137819485440

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 2713

Divisors of 137819485440

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 49 52 56 60 63 64 65 70 72 78 80 84 90 91 96 98 104 105 112 117 120 126 128 130 140 144 147 156 160 168 180 182 192 195 196 208 210 224 234 240 245 252 256 260 273 280 288 294 312 315 320 336 343 360 364 384 390 392 416 420 441 448 455 468 480 490 504 520 546 560 576 585 588 624 630 637 640 672 686 720 728 735 768 780 784 819 832 840 882 896 910 936 960 980 1008 1029 1040 1092 1120 1152 1170 1176 1248 1260 1274 1280 1344 1365 1372 1440 1456 1470 1560 1568 1638 1664 1680 1715 1764 1792 1820 1872 1911 1920 1960 2016 2058 2080 2184 2205 2240 2304 2340 2352 2496 2520 2548 2683 2688 2730 2744 2880 2912 2940 3087 3120 3136 3185 3276 3328 3360 3430 3528 3640 3744 3822 3840 3920 4032 4095 4116 4160 4368 4410 4459 4480 4680 4704 4992 5040 5096 5145 5366 5376 5460 5488 5733 5760 5824 5880 6174 6240 6272 6370 6552 6720 6860 7056 7280 7488 7644 7840 8049 8064 8190 8232 8320 8736 8820 8918 8960 9360 9408 9555 9984 10080 10192 10290 10732 10920 10976 11466 11520 11648 11760 12348 12480 12544 12740 13104 13377 13415 13440 13720 14112 14560 14976 15288 15435 15680 16098 16128 16380 16464 16640 17472 17640 17836 18720 18781 18816 19110 20160 20384 20580 21464 21840 21952 22295 22932 23296 23520 24147 24696 24960 25480 26208 26754 26830 26880 27440 28224 28665 29120 29952 30576 30870 31360 32196 32760 32928 34879 34944 35280 35672 37440 37562 37632 38220 40131 40245 40320 40768 41160 42928 43680 43904 44590 45864 47040 48294 49392 49920 50960 52416 53508 53660 54880 56343 56448 57330 58240 61152 61740 62720 64392 65520 65856 66885 69758 69888 70560 71344 74880 75124 76440 80262 80490 80640 81536 82320 85856 87360 87808 89180 91728 93905 94080 96588 98784 101920 104637 104832 107016 107320 109760 112686 112896 114660 116480 120735 122304 123480 128784 131040 131467 131712 133770 139516 141120 142688 149760 150248 152880 160524 160980 163072 164640 169029 171712 174395 174720 178360 183456 187810 188160 193176 197568 200655 203840 209274 209664 214032 214640 219520 225372 229320 241470 244153 244608 246960 257568 262080 262934 263424 267540 279032 281715 282240 285376 300496 305760 313911 321048 321960 329280 338058 343424 348790 349440 356720 366912 375620 386352 394401 395136 401310 407680 418548 428064 429280 439040 450744 458640 482940 488306 489216 493920 515136 523185 524160 525868 535080 558064 563430 564480 570752 600992 611520 627822 642096 643920 657335 658560 676116 686848 697580 713440 732459 733824 751240 772704 788802 790272 802620 815360 837096 845145 856128 858560 901488 917280 920269 965880 976612 987840 1030272 1046370 1048320 1051736 1070160 1116128 1126860 1141504 1183203 1201984 1220765 1223040 1255644 1284192 1287840 1314670 1317120 1352232 1395160 1426880 1464918 1467648 1502480 1545408 1569555 1577604 1605240 1674192 1690290 1709071 1712256 1717120 1802976 1834560 1840538 1931760 1953224 1972005 1975680 2060544 2092740 2103472 2140320 2197377 2232256 2253720 2366406 2403968 2441530 2446080 2511288 2568384 2575680 2629340 2704464 2760807 2790320 2853760 2929836 3004960 3090816 3139110 3155208 3210480 3348384 3380580 3418142 3424512 3434240 3605952 3662295 3669120 3681076 3863520 3906448 3944010 3951360 4185480 4206944 4280640 4394754 4464512 4507440 4601345 4732812 4807936 4883060 5022576 5127213 5136768 5151360 5258680 5408928 5521614 5580640 5707520 5859672 5916015 6009920 6181632 6278220 6310416 6420960 6696768 6761160 6836284 7211904 7324590 7338240 7362152 7727040 7812896 7888020 8282421 8370960 8413888 8545355 8561280 8789508 8929024 9014880 9202690 9465624 9766120 10045152 10254426 10273536 10302720 10517360 10817856 10986885 11043228 11161280 11719344 11832030 11963497 12019840 12556440 12620832 12841920 13393536 13522320 13672568 13804035 14423808 14649180 14724304 15381639 15454080 15625792 15776040 16564842 16741920 16827776 17090710 17122560 17579016 18029760 18405380 18931248 19532240 20090304 20508852 21034720 21635712 21973770 22086456 22322560 23438688 23664060 23926994 24039680 25112880 25241664 25636065 25683840 26787072 27044640 27345136 27608070 29298360 29448608 30763278 30908160 31251584 31552080 33129684 33483840 33655552 34181420 35158032 35890491 36059520 36810760 37862496 39064480 40180608 41017704 41412105 42069440 43271424 43947540 44172912 44645120 46877376 47328120 47853988 50225760 50483328 51272130 51367680 54089280 54690272 55216140 58596720 58897216 59817485 61526556 62503168 63104160 66259368 66967680 68362840 70316064 71780982 72119040 73621520 75724992 76908195 78128960 80361216 82035408 82824210 84138880 87895080 88345824 93754752 94656240 95707976 100451520 100966656 102544260 107671473 108178560 109380544 110432280 117193440 117794432 119634970 123053112 126208320 132518736 133935360 136725680 140632128 143561964 147243040 151449984 153816390 156257920 164070816 165648420 168277760 175790160 176691648 179452455 187509504 189312480 191415952 200903040 205088520 215342946 216357120 218761088 220864560 234386880 235588864 239269940 246106224 252416640 265037472 273451360 281264256 287123928 294486080 302899968 307632780 312515840 328141632 331296840 351580320 353383296 358904910 378624960 382831904 401806080 410177040 430685892 437522176 441729120 468773760 478539880 492212448 504833280 530074944 538357365 546902720 562528512 574247856 588972160 615265560 656283264 662593680 703160640 706766592 717809820 757249920 765663808 820354080 861371784 883458240 937547520 957079760 984424896 1060149888 1076714730 1093805440 1148495712 1177944320 1230531120 1312566528 1325187360 1406321280 1435619640 1514499840 1531327616 1640708160 1722743568 1766916480 1914159520 1968849792 2120299776 2153429460 2187610880 2296991424 2461062240 2650374720 2812642560 2871239280 3062655232 3281416320 3445487136 3533832960 3828319040 3937699584 4306858920 4593982848 4922124480 5300749440 5742478560 6562832640 6890974272 7656638080 8613717840 9187965696 9844248960 10601498880 11484957120 13781948544 15313276160 17227435680 19688497920 22969914240 27563897088 34454871360 45939828480 68909742720 137819485440
• Sum of all divisors σ(n): 599081683200
• Sum of proper divisors (its aliquot sum) s(n): 461262197760
• 137819485440 is an abundant number, because the sum of its proper divisors (461262197760) is greater than itself. Its abundance is 323442712320

Bases of 137819485440

• Binary: 10000000010110101011100111010100000000₂
• Hexadecimal: 0x2016AE7500
• Base-36: 1RBA5VK0

Squares and roots of 137819485440

• 137819485440 squared (137819485440²) is 18994210566946371993600
• 137819485440 cubed (137819485440³) is 2617772326675559660232778973184000
• The square root of 137819485440 is 371240.4684837039
• The cube root of 137819485440 is 5165.3950422981

Scales and comparisons

• 137,819,485,440 seconds is equal to 4,382 years, 12 weeks, 22 hours, 24 minutes.
• To count from 1 to 137,819,485,440 would take you about eight thousand, seven hundred sixty-four 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 137819485440 cubic inches would be around 430.4 feet tall.

Recreational maths with 137819485440

• 137819485440 backwards is 044584918731
• The number of decimal digits it has is: 12
• The sum of 137819485440's digits is 54
• More coming soon!