138678661440

Names of 138678661440

• Cardinal: 138678661440 can be written as One hundred thirty-eight billion, six hundred seventy-eight million, six hundred sixty-one thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3867866144 × 10¹¹

Factors of 138678661440

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 38

Divisors of 138678661440

• Number of divisors d(n): 1176
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 27 30 32 33 34 36 40 44 45 48 51 54 55 60 64 66 68 72 80 81 85 88 90 96 99 102 108 110 120 121 132 135 136 144 153 160 162 165 170 176 180 187 192 198 204 216 220 240 242 243 255 264 270 272 288 289 297 306 320 324 330 340 352 360 363 374 396 405 408 432 440 459 480 484 486 495 510 528 540 544 561 576 578 594 605 612 648 660 680 704 720 726 729 748 765 792 810 816 864 867 880 891 918 935 960 968 972 990 1020 1056 1080 1088 1089 1122 1156 1188 1210 1215 1224 1296 1320 1360 1377 1440 1445 1452 1458 1485 1496 1530 1584 1620 1632 1683 1728 1734 1760 1782 1815 1836 1870 1936 1944 1980 2040 2057 2112 2160 2178 2244 2295 2312 2376 2420 2430 2448 2592 2601 2640 2673 2720 2754 2805 2880 2890 2904 2916 2970 2992 3060 3168 3179 3240 3264 3267 3366 3468 3520 3564 3630 3645 3672 3740 3872 3888 3960 4080 4114 4131 4320 4335 4356 4455 4488 4590 4624 4752 4840 4860 4896 4913 5049 5184 5202 5280 5346 5440 5445 5508 5610 5780 5808 5832 5940 5984 6120 6171 6336 6358 6480 6534 6732 6885 6936 7128 7260 7290 7344 7480 7744 7776 7803 7920 8019 8160 8228 8262 8415 8640 8670 8712 8910 8976 9180 9248 9504 9537 9680 9720 9792 9801 9826 10098 10285 10404 10560 10692 10890 11016 11220 11560 11616 11664 11880 11968 12240 12342 12393 12716 12960 13005 13068 13365 13464 13770 13872 14256 14520 14580 14688 14739 14960 15147 15552 15606 15840 15895 16038 16320 16335 16456 16524 16830 17340 17424 17820 17952 18360 18496 18513 19008 19074 19360 19440 19602 19652 20196 20570 20655 20808 21384 21780 22032 22440 23120 23232 23328 23409 23760 24480 24565 24684 24786 25245 25432 25920 26010 26136 26730 26928 27540 27744 28512 28611 29040 29160 29376 29403 29478 29920 30294 30855 31212 31680 31790 32076 32670 32912 33048 33660 34680 34848 34969 35640 35904 36720 37026 38148 38720 38880 39015 39204 39304 40095 40392 41140 41310 41616 42768 43560 44064 44217 44880 45441 46240 46656 46818 47520 47685 48960 49005 49130 49368 49572 50490 50864 52020 52272 53460 53856 54043 55080 55488 55539 57024 57222 58080 58320 58806 58956 59840 60588 61710 61965 62424 63580 64152 65340 65824 66096 67320 69360 69696 69938 70227 71280 73440 73695 74052 75735 76296 77760 78030 78408 78608 80190 80784 82280 82620 83232 85536 85833 87120 88128 88209 88434 89760 90882 92480 92565 93636 95040 95370 98010 98260 98736 99144 100980 101728 104040 104544 104907 106920 107712 108086 110160 111078 114444 116160 116640 117045 117612 117912 121176 123420 123930 124848 127160 128304 130680 131648 132192 132651 134640 136323 138720 139876 140454 142560 143055 146880 147015 147390 148104 151470 152592 156060 156816 157216 160380 161568 162129 164560 165240 166464 166617 171072 171666 174240 174845 176418 176868 179520 181764 185130 187272 190740 196020 196520 197472 198288 201960 203456 208080 209088 209814 210681 213840 216172 220320 221085 222156 227205 228888 233280 234090 235224 235824 242352 246840 247860 249696 254320 256608 257499 261360 264384 265302 269280 270215 272646 277440 277695 279752 280908 285120 286110 294030 294780 296208 302940 305184 312120 313632 314432 314721 320760 323136 324258 329120 330480 333234 343332 348480 349690 351135 352836 353736 363528 370260 374544 381480 392040 393040 394944 396576 397953 403920 416160 419628 421362 427680 429165 432344 440640 441045 442170 444312 454410 457776 468180 470448 471648 484704 486387 493680 495720 499392 499851 508640 513216 514998 522720 524535 530604 538560 540430 545292 555390 559504 561816 572220 588060 589560 592416 594473 605880 610368 624240 627264 629442 641520 648516 658240 660960 663255 666468 681615 686664 699380 702270 705672 707472 727056 740520 749088 762960 772497 784080 786080 793152 795906 807840 810645 832320 833085 839256 842724 855360 858330 864688 882090 884340 888624 908820 915552 936360 940896 943296 944163 969408 972774 987360 991440 999702 1017280 1029996 1045440 1049070 1053405 1061208 1080860 1090584 1110780 1119008 1123632 1144440 1176120 1179120 1184832 1188946 1193859 1211760 1248480 1258884 1283040 1287495 1297032 1321920 1326510 1332936 1363230 1373328 1398760 1404540 1411344 1414944 1454112 1459161 1481040 1498176 1499553 1525920 1544994 1568160 1572160 1573605 1591812 1615680 1621290 1666170 1678512 1685448 1716660 1729376 1764180 1768680 1777248 1783419 1817640 1831104 1872720 1881792 1888326 1945548 1974720 1982880 1989765 1999404 2059992 2098140 2106810 2122416 2161720 2181168 2221560 2238016 2247264 2288880 2317491 2352240 2358240 2377892 2387718 2423520 2431935 2496960 2499255 2517768 2566080 2574990 2594064 2653020 2665872 2726460 2746656 2797520 2809080 2822688 2829888 2832489 2908224 2918322 2962080 2972365 2999106 3051840 3089988 3136320 3147210 3183624 3242580 3332340 3357024 3370896 3433320 3458752 3528360 3537360 3554496 3566838 3581577 3635280 3745440 3776652 3862485 3891096 3965760 3979530 3998808 4119984 4196280 4213620 4244832 4323440 4362336 4377483 4443120 4494528 4577760 4634982 4704480 4716480 4720815 4755784 4775436 4847040 4863870 4998510 5035536 5149980 5188128 5306040 5331744 5350257 5452920 5493312 5595040 5618160 5645376 5664978 5836644 5924160 5944730 5969295 5998212 6179976 6294420 6367248 6485160 6664680 6714048 6741792 6866640 7056720 7074720 7133676 7163154 7270560 7295805 7490880 7497765 7553304 7724970 7782192 7959060 7997616 8239968 8392560 8427240 8489664 8497467 8646880 8724672 8754966 8886240 8917095 9155520 9269964 9408960 9441630 9511568 9550872 9727740 9997020 10071072 10299960 10376256 10612080 10663488 10700514 10905840 11190080 11236320 11329956 11587455 11673288 11889460 11938590 11996424 12359952 12588840 12734496 12970320 13132449 13329360 13483584 13733280 14113440 14149440 14162445 14267352 14326308 14541120 14591610 14995530 15106608 15449940 15564384 15918120 15995232 16050771 16479936 16785120 16854480 16994934 17293760 17509932 17772480 17834190 17907885 18539928 18883260 19023136 19101744 19455480 19994040 20142144 20599920 21224160 21401028 21811680 21887415 22472640 22659912 23174910 23346576 23778920 23877180 23992848 24719904 25177680 25468992 25492401 25940640 26264898 26658720 26751285 27466560 28226880 28324890 28534704 28652616 29183220 29991060 30213216 30899880 31128768 31836240 31990464 32101542 33570240 33708960 33989868 35019864 35668380 35815770 37079856 37766520 38046272 38203488 38910960 39397347 39988080 41199840 42448320 42487335 42802056 43623360 43774830 45319824 46349820 46693152 47557840 47754360 47985696 48152313 49439808 50355360 50984802 51881280 52529796 53317440 53502570 56649780 57069408 57305232 58366440 59982120 60426432 61799760 63672480 64203084 65662245 67417920 67979736 70039728 71336760 71631540 74159712 75533040 76406976 77821920 78794694 79976160 80253855 82399680 84974670 85604112 87549660 90639648 92699640 93386304 95115680 95508720 95971392 96304626 100710720 101969604 105059592 107005140 113299560 114138816 114610464 116732880 119964240 123599520 127344960 127462005 128406168 131324490 135959472 140079456 142673520 143263080 144456939 148319424 151066080 155643840 157589388 159952320 160507710 169949340 171208224 175099320 181279296 185399280 190231360 191017440 192609252 196986735 203939208 210119184 214010280 226599120 229220928 233465760 239928480 240761565 247199040 254924010 256812336 262648980 271918944 280158912 285347040 286526160 288913878 302132160 315178776 321015420 339898680 342416448 350198640 370798560 382034880 385218504 393973470 407878416 420238368 428020560 433370817 453198240 466931520 479856960 481523130 509848020 513624672 525297960 543837888 570694080 573052320 577827756 630357552 642030840 679797360 700397280 722284695 741597120 770437008 787946940 815756832 840476736 856041120 866741634 906396480 963046260 1019696040 1027249344 1050595920 1146104640 1155655512 1260715104 1284061680 1359594720 1400794560 1444569390 1540874016 1575893880 1631513664 1712082240 1733483268 1926092520 2039392080 2101191840 2166854085 2311311024 2521430208 2568123360 2719189440 2889138780 3081748032 3151787760 3466966536 3852185040 4078784160 4202383680 4333708170 4622622048 5136246720 5778277560 6303575520 6933933072 7704370080 8157568320 8667416340 9245244096 11556555120 12607151040 13867866144 15408740160 17334832680 23113110240 27735732288 34669665360 46226220480 69339330720 138678661440
• Sum of all divisors σ(n): 578225549160
• Sum of proper divisors (its aliquot sum) s(n): 439546887720
• 138678661440 is an abundant number, because the sum of its proper divisors (439546887720) is greater than itself. Its abundance is 300868226280

Bases of 138678661440

• Binary: 10000001001001111001000111000101000000₂
• Hexadecimal: 0x2049E47140
• Base-36: 1RPHP000

Squares and roots of 138678661440

• 138678661440 squared (138678661440²) is 19231771138790142873600
• 138678661440 cubed (138678661440³) is 2667036278647841474777203113984000
• The square root of 138678661440 is 372395.8397189743
• The cube root of 138678661440 is 5176.1066215663

Scales and comparisons

• 138,678,661,440 seconds is equal to 4,409 years, 28 weeks, 5 days, 2 hours, 24 minutes.
• To count from 1 to 138,678,661,440 would take you about eight thousand, eight hundred nineteen 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 138678661440 cubic inches would be around 431.3 feet tall.

Recreational maths with 138678661440

• 138678661440 backwards is 044166876831
• 138678661440 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138678661440's digits is 54
• More coming soon!