138399698124800

Names of 138399698124800

• Cardinal: 138399698124800 can be written as One hundred thirty-eight trillion, three hundred ninety-nine billion, six hundred ninety-eight million, one hundred twenty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 1.383996981248 × 10¹⁴

Factors of 138399698124800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 2034

Divisors of 138399698124800

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 113 128 140 160 175 196 200 224 226 245 256 280 320 350 392 400 448 452 490 512 560 565 640 700 784 791 800 896 904 980 1024 1120 1130 1225 1280 1400 1568 1582 1600 1792 1808 1907 1960 2048 2240 2260 2450 2560 2800 2825 3136 3164 3200 3584 3616 3814 3920 3955 4096 4480 4520 4900 5120 5537 5600 5650 6272 6328 6400 7168 7232 7628 7840 7910 8192 8960 9040 9535 9800 10240 11074 11200 11300 12544 12656 12800 13349 14336 14464 15256 15680 15820 16384 17920 18080 19070 19600 19775 20480 22148 22400 22600 25088 25312 25600 26698 27685 28672 28928 30512 31360 31640 32768 35840 36160 38140 39200 39550 40960 44296 44800 45200 47675 50176 50624 51200 53396 55370 57344 57856 61024 62720 63280 65536 66745 71680 72320 76280 78400 79100 81920 88592 89600 90400 93443 95350 100352 101248 102400 106792 110740 114688 115712 122048 125440 126560 131072 133490 138425 143360 144640 152560 156800 158200 163840 177184 179200 180800 186886 190700 200704 202496 204800 213584 215491 221480 229376 231424 244096 250880 253120 262144 266980 276850 286720 289280 305120 313600 316400 327680 333725 354368 358400 361600 373772 381400 401408 404992 409600 427168 430982 442960 458752 462848 467215 488192 501760 506240 524288 533960 553700 573440 578560 610240 627200 632800 655360 667450 708736 716800 723200 747544 762800 802816 809984 819200 854336 861964 885920 917504 925696 934430 976384 1003520 1012480 1067920 1077455 1107400 1146880 1157120 1220480 1254400 1265600 1310720 1334900 1417472 1433600 1446400 1495088 1508437 1525600 1605632 1619968 1638400 1708672 1723928 1771840 1835008 1851392 1868860 1952768 2007040 2024960 2135840 2154910 2214800 2293760 2314240 2336075 2440960 2508800 2531200 2621440 2669800 2834944 2867200 2892800 2990176 3016874 3051200 3211264 3239936 3276800 3417344 3447856 3543680 3670016 3702784 3737720 3905536 4014080 4049920 4271680 4309820 4429600 4587520 4628480 4672150 4881920 5017600 5062400 5339600 5387275 5669888 5734400 5785600 5980352 6033748 6102400 6422528 6479872 6553600 6834688 6895712 7087360 7405568 7475440 7542185 7811072 8028160 8099840 8543360 8619640 8859200 9175040 9256960 9344300 9763840 10035200 10124800 10559059 10679200 10774550 11339776 11468800 11571200 11960704 12067496 12204800 12845056 12959744 13107200 13669376 13791424 14174720 14811136 14950880 15084370 15622144 16056320 16199680 17086720 17239280 17718400 18350080 18513920 18688600 19527680 20070400 20249600 21118118 21358400 21549100 22679552 22937600 23142400 23921408 24134992 24409600 25690112 25919488 27338752 27582848 28349440 29622272 29901760 30168740 31244288 32112640 32399360 34173440 34478560 35436800 37027840 37377200 37710925 39055360 40140800 40499200 42236236 42716800 43098200 45359104 45875200 46284800 47842816 48269984 48819200 51838976 52795295 54677504 55165696 56698880 59244544 59803520 60337480 62488576 64225280 64798720 68346880 68957120 70873600 74055680 74754400 75421850 78110720 80281600 80998400 84472472 85433600 86196400 90718208 91750400 92569600 95685632 96539968 97638400 103677952 105590590 109355008 110331392 113397760 119607040 120674960 124977152 128450560 129597440 136693760 137914240 141747200 148111360 149508800 150843700 156221440 160563200 161996800 168944944 170867200 172392800 181436416 185139200 191371264 193079936 195276800 207355904 211181180 218710016 220662784 226795520 239214080 241349920 249954304 259194880 263976475 273387520 275828480 283494400 296222720 299017600 301687400 312442880 321126400 323993600 337889888 341734400 344785600 362872832 370278400 382742528 386159872 390553600 414711808 422362360 437420032 441325568 453591040 478428160 482699840 499908608 518389760 527952950 546775040 551656960 566988800 598035200 603374800 624885760 642252800 647987200 675779776 683468800 689571200 725745664 740556800 765485056 772319744 781107200 844724720 874840064 882651136 907182080 956856320 965399680 999817216 1036779520 1055905900 1093550080 1103313920 1133977600 1196070400 1206749600 1249771520 1295974400 1351559552 1366937600 1379142400 1451491328 1481113600 1530970112 1544639488 1562214400 1689449440 1749680128 1765302272 1814364160 1913712640 1930799360 2073559040 2111811800 2187100160 2206627840 2267955200 2392140800 2413499200 2499543040 2591948800 2703119104 2733875200 2758284800 2902982656 3061940224 3089278976 3124428800 3378898880 3499360256 3530604544 3628728320 3827425280 3861598720 4223623600 4374200320 4413255680 4535910400 4784281600 4826998400 4999086080 5183897600 5406238208 5467750400 5516569600 6123880448 6178557952 6248857600 6757797760 6998720512 7061209088 7257456640 7654850560 7723197440 8447247200 8748400640 8826511360 9071820800 9568563200 9653996800 10367795200 10812476416 10935500800 11033139200 12247760896 12357115904 12497715200 13515595520 14122418176 14514913280 15309701120 15446394880 16894494400 17496801280 17653022720 18143641600 19137126400 19307993600 21624952832 21871001600 22066278400 24495521792 24714231808 24995430400 27031191040 28244836352 30619402240 30892789760 33788988800 34993602560 35306045440 36287283200 38274252800 38615987200 43249905664 43742003200 44132556800 48991043584 49428463616 54062382080 56489672704 61238804480 61785579520 67577977600 70612090880 72574566400 76548505600 77231974400 86499811328 87484006400 88265113600 98856927232 108124764160 112979345408 122477608960 123571159040 135155955200 141224181760 153097011200 154463948800 172999622656 174968012800 176530227200 197713854464 216249528320 244955217920 247142318080 270311910400 282448363520 306194022400 308927897600 345999245312 353060454400 395427708928 432499056640 494284636160 540623820800 564896727040 612388044800 617855795200 691998490624 706120908800 790855417856 864998113280 988569272320 1081247641600 1224776089600 1235711590400 1383996981248 1412241817600 1729996226560 1977138544640 2162495283200 2471423180800 2767993962496 2824483635200 3459992453120 3954277089280 4324990566400 4942846361600 5535987924992 6919984906240 8649981132800 9885692723200 13839969812480 17299962265600 19771385446400 27679939624960 34599924531200 69199849062400 138399698124800
• Sum of all divisors σ(n): 403013199421800
• Sum of proper divisors (its aliquot sum) s(n): 264613501297000
• 138399698124800 is an abundant number, because the sum of its proper divisors (264613501297000) is greater than itself. Its abundance is 126213803172200

Bases of 138399698124800

• Binary: 11111011101111110110000110110000000000000000000₂
• Hexadecimal: 0x7DDFB0D80000
• Base-36: 1D23XYW0E8

Squares and roots of 138399698124800

• 138399698124800 squared (138399698124800²) is 19154476441035768636375040000
• 138399698124800 cubed (138399698124800³) is 2650973757177943846313441276557524992000000
• The square root of 138399698124800 is 11764340.1057942897
• The cube root of 138399698124800 is 51726.3357307031

Scales and comparisons

• 138,399,698,124,800 seconds is equal to 4,400,682 years, 15 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
• To count from 1 to 138,399,698,124,800 would take you about eleven million, one thousand, seven hundred 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 138399698124800 cubic inches would be around 4310.5 feet tall.

Recreational maths with 138399698124800

• 138399698124800 backwards is 008421896993831
• The number of decimal digits it has is: 15
• The sum of 138399698124800's digits is 71
• More coming soon!