138180407768000

Names of 138180407768000

• Cardinal: 138180407768000 can be written as One hundred thirty-eight trillion, one hundred eighty billion, four hundred seven million, seven hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.38180407768 × 10¹⁴

Factors of 138180407768000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1271

Divisors of 138180407768000

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 23 25 26 32 40 41 46 50 52 64 65 80 82 92 100 104 115 125 130 160 164 184 200 205 208 230 250 260 299 320 325 328 368 400 410 416 460 500 520 533 575 598 650 656 736 800 820 832 920 943 1000 1025 1040 1066 1150 1187 1196 1300 1312 1472 1495 1600 1625 1640 1840 1886 2000 2050 2080 2132 2300 2374 2392 2600 2624 2665 2875 2990 3250 3280 3680 3772 4000 4100 4160 4264 4600 4715 4748 4784 5125 5200 5330 5750 5935 5980 6500 6560 7360 7475 7544 8000 8200 8528 9200 9430 9496 9568 10250 10400 10660 11500 11870 11960 12259 13000 13120 13325 14950 15088 15431 16400 17056 18400 18860 18992 19136 20500 20800 21320 23000 23575 23740 23920 24518 26000 26650 27301 29675 29900 30176 30862 32800 34112 36800 37375 37720 37984 41000 42640 46000 47150 47480 47840 48667 49036 52000 53300 54602 59350 59800 60352 61295 61724 65600 66625 74750 75440 75968 77155 82000 85280 92000 94300 94960 95680 97334 98072 104000 106600 109204 117875 118700 119600 122590 123448 133250 136505 148375 149500 150880 154310 164000 170560 184000 188600 189920 194668 196144 213200 218408 235750 237400 239200 243335 245180 246896 266500 273010 296750 299000 301760 306475 308620 328000 354913 377200 379840 385775 389336 392288 426400 436816 471500 474800 478400 486670 490360 493792 533000 546020 593500 598000 612950 617240 632671 682525 709826 754400 771550 778672 784576 852800 873632 943000 949600 973340 980720 987584 1066000 1092040 1119341 1187000 1196000 1216675 1225900 1234480 1265342 1365050 1408969 1419652 1508800 1532375 1543100 1557344 1747264 1774565 1886000 1899200 1928875 1946680 1961440 2132000 2184080 2238682 2374000 2392000 2433350 2451800 2468960 2530684 2730100 2817938 2839304 3064750 3086200 3114688 3163355 3412625 3549130 3772000 3857750 3893360 3922880 4264000 4368160 4477364 4748000 4866700 4903600 4937920 5061368 5460200 5596705 5635876 5678608 6083375 6129500 6172400 6326710 6825250 7044845 7098260 7544000 7715500 7786720 8736320 8872825 8954728 9496000 9733400 9807200 10122736 10920400 11193410 11271752 11357216 12166750 12259000 12344800 12653420 13650500 14089690 14196520 14551433 15431000 15573440 15816775 17745650 17909456 18316597 19466800 19614400 20245472 21840800 22386820 22543504 22714432 24333500 24518000 24689600 25306840 27301000 27983525 28179380 28393040 29102866 30862000 31633550 32406287 35224225 35491300 35818912 36633194 38933600 40490944 43681600 44364125 44773640 45087008 48667000 49036000 50613680 54602000 55967050 56358760 56786080 57767729 58205732 61724000 63267100 64812574 70448450 70982600 71637824 72757165 73266388 77867200 79083875 88728250 89547280 90174016 91582985 97334000 98072000 101227360 109204000 111934100 112717520 113572160 115535458 116411464 123448000 126534200 129625148 139917625 140896900 141965200 145514330 146532776 158167750 162031435 176121125 177456500 179094560 183165970 194668000 202454720 218408000 223868200 225435040 231070916 232822928 253068400 259250296 279835250 281793800 283930400 288838645 291028660 293065552 316335500 324062870 352242250 354913000 358189120 363785825 366331940 389336000 421281731 447736400 450870080 457914925 462141832 465645856 506136800 518500592 559670500 563587600 567860800 577677290 582057320 586131104 632671000 648125740 704484500 709826000 727571650 732663880 750980477 810157175 842563462 895472800 915829850 924283664 931291712 1012273600 1037001184 1119341000 1127175200 1155354580 1164114640 1172262208 1265342000 1296251480 1328657767 1408969000 1419652000 1444193225 1455143300 1465327760 1501960954 1620314350 1685126924 1790945600 1818929125 1831659700 1848567328 2074002368 2106408655 2238682000 2254350400 2289574625 2310709160 2328229280 2530684000 2592502960 2657315534 2817938000 2839304000 2888386450 2910286600 2930655520 3003921908 3240628700 3370253848 3637858250 3663319400 3697134656 3754902385 4050785875 4212817310 4477364000 4579149250 4621418320 4656458560 5061368000 5185005920 5314631068 5635876000 5776772900 5820573200 5861311040 6007843816 6481257400 6643288835 6740507696 7220966125 7275716500 7326638800 7509804770 8101571750 8425634620 8954728000 9158298500 9242836640 10370011840 10532043275 10629262136 11271752000 11553545800 11641146400 12015687632 12962514800 13286577670 13481015392 14441932250 14551433000 14653277600 15019609540 16203143500 16851269240 17272550971 18316597000 18485673280 18774511925 21064086550 21258524272 23107091600 23282292800 24031375264 25925029600 26573155340 26962030784 28883864500 29102866000 29306555200 30039219080 32406287000 33216444175 33702538480 34545101942 36633194000 37549023850 42128173100 42517048544 46214183200 48062750528 51850059200 52660216375 53146310680 57767729000 58205732000 60078438160 64812574000 66432888350 67405076960 69090203884 73266388000 75098047700 84256346200 85034097088 86362754855 92428366400 93872559625 105320432750 106292621360 115535458000 116411464000 120156876320 129625148000 132865776700 134810153920 138180407768 146532776000 150196095400 166082220875 168512692400 172725509710 187745119250 210640865500 212585242720 231070916000 240313752640 259250296000 265731553400 276360815536 300392190800 332164441750 337025384800 345451019420 375490238500 421281731000 425170485440 431813774275 462141832000 531463106800 552721631072 600784381600 664328883500 674050769600 690902038840 750980477000 842563462000 863627548550 1062926213600 1105443262144 1201568763200 1328657767000 1381804077680 1501960954000 1685126924000 1727255097100 2125852427200 2159068871375 2657315534000 2763608155360 3003921908000 3370253848000 3454510194200 4318137742750 5314631068000 5527216310720 6007843816000 6909020388400 8636275485500 10629262136000 13818040776800 17272550971000 27636081553600 34545101942000 69090203884000 138180407768000
• Sum of all divisors σ(n): 394261486190208
• Sum of proper divisors (its aliquot sum) s(n): 256081078422208
• 138180407768000 is an abundant number, because the sum of its proper divisors (256081078422208) is greater than itself. Its abundance is 117900670654208

Bases of 138180407768000

• Binary: 11111011010110010100010000111101011001111000000₂
• Hexadecimal: 0x7DACA21EB3C0
• Base-36: 1CZB7B2M68

Squares and roots of 138180407768000

• 138180407768000 squared (138180407768000²) is 19093825090930754741824000000
• 138180407768000 cubed (138180407768000³) is 2638392536915681368877239884088832000000000
• The square root of 138180407768000 is 11755016.2810606095
• The cube root of 138180407768000 is 51699.0016565609

Scales and comparisons

• 138,180,407,768,000 seconds is equal to 4,393,709 years, 28 weeks, 3 days, 2 hours, 13 minutes, 20 seconds.
• To count from 1 to 138,180,407,768,000 would take you about ten million, nine hundred eighty-four thousand, two hundred seventy-three 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 138180407768000 cubic inches would be around 4308.3 feet tall.

Recreational maths with 138180407768000

• 138180407768000 backwards is 000867704081831
• The number of decimal digits it has is: 15
• The sum of 138180407768000's digits is 53
• More coming soon!