138617320400000

Names of 138617320400000

• Cardinal: 138617320400000 can be written as One hundred thirty-eight trillion, six hundred seventeen billion, three hundred twenty million, four hundred thousand.

Scientific notation

• Scientific notation: 1.386173204 × 10¹⁴

Factors of 138617320400000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1142

Divisors of 138617320400000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 29 32 40 50 52 58 64 65 80 100 104 116 125 128 130 145 160 200 208 232 250 260 290 320 325 377 400 416 464 500 520 580 625 640 650 725 754 800 832 841 928 1000 1040 1093 1160 1250 1300 1450 1508 1600 1625 1664 1682 1856 1885 2000 2080 2186 2320 2500 2600 2900 3016 3125 3200 3250 3364 3625 3712 3770 4000 4160 4205 4372 4640 5000 5200 5465 5800 6032 6250 6500 6728 7250 7540 8000 8125 8320 8410 8744 9280 9425 10000 10400 10930 10933 11600 12064 12500 13000 13456 14209 14500 15080 16000 16250 16820 17488 18125 18560 18850 20000 20800 21025 21860 21866 23200 24128 24389 25000 26000 26912 27325 28418 29000 30160 31697 32500 33640 34976 36250 37700 40000 40625 41600 42050 43720 43732 46400 47125 48256 48778 50000 52000 53824 54650 54665 56836 58000 60320 63394 65000 67280 69952 71045 72500 75400 80000 81250 84100 87440 87464 90625 92800 94250 97556 100000 104000 105125 107648 109300 109330 113672 116000 120640 121945 126788 130000 134560 136625 139904 142090 145000 150800 158485 162500 168200 174880 174928 181250 188500 195112 200000 208000 210250 218600 218660 227344 232000 235625 241280 243890 253576 260000 269120 273250 273325 284180 290000 301600 316970 317057 325000 336400 349760 349856 355225 362500 377000 390224 400000 412061 420500 437200 437320 454688 464000 471250 487780 507152 520000 525625 538240 546500 546650 568360 580000 603200 609725 633940 634114 650000 672800 683125 699520 699712 710450 725000 754000 780448 792425 824122 841000 874400 874640 909376 919213 942500 975560 1014304 1040000 1051250 1093000 1093300 1136720 1160000 1178125 1206400 1219450 1267880 1268228 1300000 1345600 1366250 1366625 1399424 1420900 1450000 1508000 1560896 1584850 1585285 1648244 1682000 1748800 1749280 1776125 1818752 1838426 1885000 1951120 2028608 2060305 2102500 2186000 2186600 2273440 2320000 2356250 2438900 2535760 2536456 2600000 2628125 2691200 2732500 2733250 2841800 2900000 3016000 3048625 3121792 3169700 3170570 3296488 3364000 3415625 3497600 3498560 3552250 3676852 3770000 3902240 3962125 4057216 4120610 4205000 4372000 4373200 4546880 4596065 4712500 4877800 5071520 5072912 5200000 5256250 5465000 5466500 5683600 5800000 6032000 6097250 6339400 6341140 6592976 6728000 6831250 6833125 6997120 7104500 7353704 7540000 7804480 7924250 7926425 8241220 8410000 8744000 8746400 8880625 9093760 9192130 9425000 9755600 10143040 10145824 10301525 10512500 10930000 10933000 11367200 11600000 11949769 12194500 12678800 12682280 13185952 13456000 13662500 13666250 14209000 14707408 15080000 15243125 15608960 15848500 15852850 16482440 16820000 17488000 17492800 17761250 18384260 18850000 19511200 19810625 20286080 20291648 20603050 21025000 21860000 21866000 22734400 22980325 23899538 24389000 25357600 25364560 26371904 26657177 27325000 27332500 28418000 29414816 30160000 30486250 31697000 31705700 32964880 33640000 34165625 34985600 35522500 36768520 37700000 39022400 39621250 39632125 40583296 41206100 42050000 43720000 43732000 44403125 45468800 45960650 47799076 48778000 50715200 50729120 51507625 52743808 53314354 54650000 54665000 56836000 58829632 59748845 60972500 63394000 63411400 65929760 67280000 68331250 71045000 73537040 75400000 76215625 78044800 79242500 79264250 82412200 84100000 87440000 87464000 88806250 91921300 95598152 97556000 99053125 101430400 101458240 103015250 106628708 109300000 109330000 113672000 114901625 117659264 119497690 121945000 126788000 126822800 131859520 133285885 136662500 142090000 147074080 150800000 152431250 158485000 158528500 164824400 168200000 174928000 177612500 183842600 191196304 195112000 198106250 198160625 202916480 206030500 213257416 218600000 218660000 227344000 229803250 238995380 243890000 253576000 253645600 257538125 263719040 266571770 273325000 284180000 294148160 298744225 304862500 316970000 317057000 329648800 336400000 346543301 355225000 367685200 382392608 390224000 396212500 396321250 412061000 426514832 437200000 437320000 459606500 477990760 487780000 507152000 507291200 515076250 533143540 546650000 568360000 574508125 588296320 597488450 609725000 633940000 634114000 659297600 666429425 693086602 710450000 735370400 764785216 792425000 792642500 824122000 853029664 874640000 919213000 955981520 975560000 990803125 1014582400 1030152500 1066287080 1093300000 1136720000 1149016250 1194976900 1219450000 1267880000 1268228000 1287690625 1318595200 1332858850 1386173204 1420900000 1470740800 1493721125 1529570432 1584850000 1585285000 1648244000 1706059328 1732716505 1838426000 1911963040 1951120000 1981606250 2060305000 2132574160 2186600000 2298032500 2389953800 2438900000 2535760000 2536456000 2575381250 2665717700 2772346408 2841800000 2872540625 2941481600 2987442250 3169700000 3170570000 3296488000 3332147125 3412118656 3465433010 3676852000 3823926080 3963212500 4120610000 4265148320 4373200000 4596065000 4779907600 4877800000 5072912000 5150762500 5331435400 5544692816 5683600000 5745081250 5974884500 6339400000 6341140000 6592976000 6664294250 6930866020 7353704000 7468605625 7647852160 7926425000 8241220000 8530296640 8663582525 9192130000 9559815200 9755600000 10301525000 10662870800 11089385632 11490162500 11949769000 12678800000 12682280000 13328588500 13861732040 14707408000 14937211250 15852850000 16482440000 16660735625 17060593280 17327165050 18384260000 19119630400 20603050000 21325741600 22178771264 22980325000 23899538000 25364560000 26657177000 27723464080 29874422500 31705700000 32964880000 33321471250 34654330100 36768520000 37343028125 38239260800 41206100000 42651483200 43317912625 44357542528 45960650000 47799076000 53314354000 55446928160 59748845000 63411400000 66642942500 69308660200 73537040000 74686056250 82412200000 83303678125 85302966400 86635825250 91921300000 95598152000 106628708000 110893856320 119497690000 126822800000 133285885000 138617320400 149372112500 164824400000 166607356250 173271650500 183842600000 191196304000 213257416000 216589563125 221787712640 238995380000 266571770000 277234640800 298744225000 333214712500 346543301000 367685200000 426514832000 433179126250 477990760000 533143540000 554469281600 597488450000 666429425000 693086602000 866358252500 955981520000 1066287080000 1082947815625 1108938563200 1194976900000 1332858850000 1386173204000 1732716505000 2132574160000 2165895631250 2389953800000 2665717700000 2772346408000 3465433010000 4331791262500 4779907600000 5331435400000 5544692816000 6930866020000 8663582525000 10662870800000 13861732040000 17327165050000 27723464080000 34654330100000 69308660200000 138617320400000
• Sum of all divisors σ(n): 385346237824800
• Sum of proper divisors (its aliquot sum) s(n): 246728917424800
• 138617320400000 is an abundant number, because the sum of its proper divisors (246728917424800) is greater than itself. Its abundance is 108111597024800

Bases of 138617320400000

• Binary: 11111100001001001011100001001000110010010000000₂
• Hexadecimal: 0x7E125C246480
• Base-36: 1D4VX1KMM8

Squares and roots of 138617320400000

• 138617320400000 squared (138617320400000²) is 19214761514876256160000000000
• 138617320400000 cubed (138617320400000³) is 2663498753317191366483193664000000000000000
• The square root of 138617320400000 is 11773585.7069968283
• The cube root of 138617320400000 is 51753.4333521451

Scales and comparisons

• 138,617,320,400,000 seconds is equal to 4,407,602 years, 6 days, 6 hours, 13 minutes, 20 seconds.
• To count from 1 to 138,617,320,400,000 would take you about eleven million, nineteen thousand and 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 138617320400000 cubic inches would be around 4312.8 feet tall.

Recreational maths with 138617320400000

• 138617320400000 backwards is 000004023716831
• The number of decimal digits it has is: 15
• The sum of 138617320400000's digits is 35
• More coming soon!