138640070400

Names of 138640070400

• Cardinal: 138640070400 can be written as One hundred thirty-eight billion, six hundred forty million, seventy thousand, four hundred.

Scientific notation

• Scientific notation: 1.386400704 × 10¹¹

Factors of 138640070400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 191

Divisors of 138640070400

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 79 80 89 96 100 104 120 128 130 150 156 158 160 178 192 195 200 208 237 240 256 260 267 300 312 316 320 325 356 384 390 395 400 416 445 474 480 520 534 600 624 632 640 650 712 768 780 790 800 832 890 948 960 975 1027 1040 1068 1157 1185 1200 1248 1264 1280 1300 1335 1424 1560 1580 1600 1664 1780 1896 1920 1950 1975 2054 2080 2136 2225 2314 2370 2400 2496 2528 2600 2670 2848 3081 3120 3160 3200 3328 3471 3560 3792 3840 3900 3950 4108 4160 4272 4450 4628 4740 4800 4992 5056 5135 5200 5340 5696 5785 5925 6162 6240 6241 6320 6400 6675 6942 7031 7120 7584 7800 7900 8216 8320 8544 8900 9256 9480 9600 9984 10112 10270 10400 10680 11392 11570 11850 12324 12480 12482 12640 13350 13884 14062 14240 15168 15405 15600 15800 16432 16640 17088 17355 17800 18512 18723 18960 19200 20224 20540 20800 21093 21360 22784 23140 23700 24648 24960 24964 25280 25675 26700 27768 28124 28480 28925 30336 30810 31200 31205 31600 32864 34176 34710 35155 35600 37024 37446 37920 41080 41600 42186 42720 46280 47400 49296 49920 49928 50560 51350 53400 55536 56248 56960 57850 60672 61620 62400 62410 63200 65728 68352 69420 70310 71200 74048 74892 75840 77025 81133 82160 83200 84372 85440 86775 91403 92560 93615 94800 98592 99856 101120 102700 105465 106800 111072 112496 113920 115700 123240 124800 124820 126400 131456 138840 140620 142400 148096 149784 151680 154050 156025 162266 164320 168744 170880 173550 175775 182806 185120 187230 189600 197184 199712 205400 210930 213600 222144 224992 231400 243399 246480 249600 249640 252800 262912 274209 277680 281240 284800 296192 299568 303360 308100 312050 324532 328640 337488 341760 347100 351550 365612 370240 374460 379200 394368 399424 405665 410800 421860 427200 444288 449984 457015 462800 468075 486798 492960 499280 505600 527325 548418 555360 555449 562480 569600 599136 616200 624100 649064 657280 674976 694200 703100 731224 740480 748920 758400 788736 798848 811330 821600 843720 854400 888576 899968 914030 925600 936150 973596 985920 998560 1054650 1096836 1110720 1110898 1124960 1198272 1216995 1232400 1248200 1298128 1314560 1349952 1371045 1388400 1406200 1462448 1480960 1497840 1516800 1597696 1622660 1643200 1666347 1687440 1708800 1799936 1828060 1851200 1872300 1947192 1971840 1997120 2028325 2109300 2193672 2221440 2221796 2249920 2285075 2396544 2433990 2464800 2496400 2596256 2699904 2742090 2776800 2777245 2812400 2924896 2995680 3245320 3286400 3332694 3374880 3656120 3702400 3744600 3894384 3943680 3994240 4056650 4218600 4387344 4442880 4443592 4499840 4570150 4793088 4867980 4929600 4992800 5192512 5399808 5484180 5553600 5554490 5624800 5849792 5991360 6084975 6490640 6572800 6665388 6749760 6855225 7220837 7312240 7404800 7489200 7788768 7988480 8113300 8331735 8437200 8774688 8887184 8999680 9140300 9735960 9859200 9985600 10385024 10968360 11107200 11108980 11249600 11699584 11982720 12169950 12981280 13330776 13499520 13710450 13886225 14441674 14624480 14978400 15577536 16226600 16663470 16874400 17549376 17774368 18280600 19471920 19718400 19971200 20770048 21662511 21936720 22214400 22217960 22499200 23399168 23965440 24339900 25962560 26661552 26999040 27420900 27772450 28883348 29248960 29956800 31155072 32453200 33326940 33748800 35098752 35548736 36104185 36561200 38943840 39942400 41658675 43325022 43873440 44435920 44998400 48679800 51925120 53323104 54841800 55544900 57766696 58497920 59913600 62310144 64906400 66653880 67497600 70197504 71097472 72208370 73122400 77887680 83317350 86650044 87746880 88871840 97359600 103850240 106646208 108312555 109683600 111089800 115533392 116995840 119827200 129812800 133307760 134995200 142194944 144416740 146244800 155775360 166634700 173300088 175493760 177743680 180520925 194719200 213292416 216625110 219367200 222179600 231066784 259625600 266615520 288833480 292489600 311550720 333269400 346600176 350987520 355487360 361041850 389438400 426584832 433250220 438734400 444359200 462133568 519251200 533231040 541562775 577666960 584979200 666538800 693200352 710974720 722083700 778876800 866500440 877468800 888718400 924267136 1066462080 1083125550 1155333920 1333077600 1386400704 1444167400 1557753600 1733000880 1754937600 1777436800 1848534272 2132924160 2166251100 2310667840 2666155200 2772801408 2888334800 3466001760 3554873600 4332502200 4621335680 5332310400 5545602816 5776669600 6932003520 8665004400 9242671360 10664620800 11553339200 13864007040 17330008800 23106678400 27728014080 34660017600 46213356800 69320035200 138640070400
• Sum of all divisors σ(n): 504660043440
• Sum of proper divisors (its aliquot sum) s(n): 366019973040
• 138640070400 is an abundant number, because the sum of its proper divisors (366019973040) is greater than itself. Its abundance is 227379902640

Bases of 138640070400

• Binary: 10000001000111100101111001011100000000₂
• Hexadecimal: 0x2047979700
• Base-36: 1ROUPUYO

Squares and roots of 138640070400

• 138640070400 squared (138640070400²) is 19221069120516956160000
• 138640070400 cubed (138640070400³) is 2664810376031736886416113664000000
• The square root of 138640070400 is 372344.0215714495
• The cube root of 138640070400 is 5175.6264470699

Scales and comparisons

• 138,640,070,400 seconds is equal to 4,408 years, 16 weeks, 6 days, 10 hours, 40 minutes.
• To count from 1 to 138,640,070,400 would take you about eight thousand, eight hundred sixteen 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 138640070400 cubic inches would be around 431.3 feet tall.

Recreational maths with 138640070400

• 138640070400 backwards is 004070046831
• The number of decimal digits it has is: 12
• The sum of 138640070400's digits is 33
• More coming soon!