138364430400

Names of 138364430400

• Cardinal: 138364430400 can be written as One hundred thirty-eight billion, three hundred sixty-four million, four hundred thirty thousand, four hundred.

Scientific notation

• Scientific notation: 1.383644304 × 10¹¹

Factors of 138364430400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1690

Divisors of 138364430400

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 28 30 32 35 36 37 40 42 45 46 48 50 56 60 63 64 69 70 72 74 75 80 84 90 92 96 100 105 111 112 115 120 126 138 140 144 148 150 160 161 168 175 180 184 185 192 200 207 210 222 224 225 230 240 252 259 276 280 288 296 300 315 320 322 333 336 345 350 360 368 370 400 414 420 444 448 450 460 480 483 504 518 525 552 555 560 575 576 592 600 630 644 666 672 690 700 720 736 740 777 800 805 828 840 851 888 900 920 925 960 966 1008 1035 1036 1050 1104 1110 1120 1150 1184 1200 1260 1288 1295 1332 1344 1380 1400 1440 1449 1472 1480 1554 1575 1600 1610 1613 1656 1665 1680 1702 1725 1776 1800 1840 1850 1932 2016 2070 2072 2100 2208 2220 2240 2300 2331 2368 2400 2415 2520 2553 2576 2590 2664 2760 2775 2800 2880 2898 2960 3108 3150 3220 3226 3312 3330 3360 3404 3450 3552 3600 3680 3700 3864 3885 4025 4032 4140 4144 4200 4255 4416 4440 4600 4662 4800 4830 4839 5040 5106 5152 5175 5180 5328 5520 5550 5600 5796 5920 5957 6216 6300 6440 6452 6475 6624 6660 6720 6808 6900 7104 7200 7245 7360 7400 7659 7728 7770 8050 8065 8280 8288 8325 8400 8510 8880 9200 9324 9660 9678 10080 10212 10304 10350 10360 10656 11040 11100 11200 11291 11592 11655 11840 11914 12075 12432 12600 12765 12880 12904 12950 13248 13320 13616 13800 14400 14490 14517 14800 15318 15456 15540 16100 16130 16560 16576 16650 16800 17020 17760 17871 18400 18648 19320 19356 19425 20160 20424 20700 20720 21275 21312 22080 22200 22582 23184 23310 23828 24150 24195 24864 25200 25530 25760 25808 25900 26640 27232 27600 28980 29034 29600 29785 30636 30912 31080 32200 32260 33120 33300 33600 33873 34040 35520 35742 36225 36800 37099 37296 38295 38640 38712 38850 40325 40848 41400 41440 42550 44400 45164 46368 46620 47656 48300 48390 49728 50400 51060 51520 51616 51800 53280 53613 54464 55200 56455 57960 58068 58275 59200 59570 59681 61272 62160 63825 64400 64520 66240 66600 67746 68080 71484 72450 72585 74198 74592 76590 77280 77424 77700 80650 81696 82800 82880 85100 88800 89355 90328 92736 93240 95312 96600 96780 100800 101619 102120 103232 103600 106560 107226 110400 111297 112910 115920 116136 116550 119140 119362 120975 122544 124320 127650 128800 129040 133200 135492 136160 142968 144900 145170 148396 148925 149184 153180 154560 154848 155400 161300 163392 165600 169365 170200 177600 178710 179043 180656 185495 186480 190624 191475 193200 193560 203238 204240 207200 214452 222594 225820 231840 232272 233100 238280 238724 241950 245088 248640 255300 257600 258080 259693 266400 268065 270984 272320 282275 285936 289800 290340 296792 297850 298405 306360 309696 310800 322600 331200 333891 338730 340400 357420 358086 361312 362925 370990 372960 381248 382950 386400 387120 406476 408480 414400 417767 428904 445188 446775 451640 463680 464544 466200 476560 477448 483900 490176 508095 510600 516160 519386 532800 536130 537129 541968 556485 564550 571872 579600 580680 593584 595700 596810 612720 621600 645200 667782 677460 680800 714840 716172 722624 725850 741980 745920 765900 772800 774240 779079 812952 816960 835534 846825 857808 890376 893550 895215 903280 927475 929088 932400 953120 954896 967800 1016190 1021200 1038772 1072260 1074258 1083936 1112970 1129100 1143744 1159200 1161360 1187168 1191400 1193620 1225440 1243200 1253301 1290400 1298465 1335564 1340325 1354920 1361600 1372663 1429680 1432344 1451700 1483960 1492025 1531800 1548480 1558158 1625904 1669455 1671068 1693650 1715616 1780752 1787100 1790430 1806560 1854950 1864800 1906240 1909792 1935600 2032380 2042400 2077544 2088835 2144520 2148516 2167872 2225940 2258200 2318400 2322720 2337237 2374336 2382800 2387240 2450880 2506602 2540475 2580800 2596930 2671128 2680650 2685645 2709840 2745326 2782425 2859360 2864688 2903400 2967920 2984050 3063600 3116316 3251808 3338910 3342136 3387300 3431232 3561504 3574200 3580860 3613120 3709900 3729600 3759903 3819584 3871200 3895395 4064760 4084800 4117989 4155088 4177670 4289040 4297032 4451880 4476075 4516400 4645440 4674474 4765600 4774480 5013204 5080950 5193860 5342256 5361300 5371290 5419680 5490652 5564850 5718720 5729376 5806800 5935840 5968100 6127200 6232632 6266505 6492325 6503616 6677820 6684272 6774600 6863315 7123008 7148400 7161720 7419800 7519806 7742400 7790790 8129520 8235978 8310176 8347275 8355340 8578080 8594064 8903760 8952150 9032800 9348948 9531200 9548960 9608641 10026408 10161900 10387720 10444175 10684512 10722600 10742580 10839360 10981304 11129700 11458752 11613600 11686185 11871680 11936200 12254400 12353967 12465264 12533010 12984650 13355640 13368544 13428225 13549200 13726630 14296800 14323440 14839600 15039612 15581580 16259040 16471956 16620352 16694550 16710680 17156160 17188128 17807520 17904300 18065600 18697896 18799515 19097920 19217282 19476975 20052816 20323800 20589945 20775440 20888350 21369024 21445200 21485160 21962608 22259400 23227200 23372370 23872400 24707934 24930528 25066020 25969300 26711280 26737088 26856450 27098400 27453260 28593600 28646880 28825923 29679200 30079224 31163160 31332525 32518080 32943912 33389100 33421360 34316575 34376256 35615040 35808600 37395792 37599030 38434564 38953950 40105632 40647600 41179890 41550880 41776700 42890400 42970320 43925216 44518800 46744740 47744800 48043205 49415868 49861056 50132040 51938600 53422560 53712900 54196800 54906520 57293760 57651846 58430925 59358400 60158448 61769835 62326320 62665050 65887824 66778200 66842720 68633150 71617200 74791584 75198060 76869128 77907900 80211264 81295200 82359780 83101760 83553400 85780800 85940640 86477769 87850432 89037600 93489480 93997575 95489600 96086410 98831736 100264080 102949725 103877200 106845120 107425800 109813040 115303692 116861850 120316896 123539670 124652640 125330100 131775648 133556400 133685440 137266300 143234400 144129615 149583168 150396120 153738256 155815800 162590400 164719560 167106800 171881280 172955538 178075200 186978960 187995150 192172820 197663472 200528160 205899450 207754400 214851600 219626080 230607384 233723700 240216025 240633792 247079340 249305280 250660200 263551296 267112800 274532600 286468800 288259230 300792240 307476512 308849175 311631600 329439120 334213600 345911076 373957920 375990300 384345640 395326944 401056320 411798900 415508800 429703200 432388845 439252160 461214768 467447400 480432050 494158680 501320400 534225600 549065200 576518460 601584480 614953024 617698350 623263200 658878240 668427200 691822152 720648075 747915840 751980600 768691280 790653888 823597800 859406400 864777690 922429536 934894800 960864100 988317360 1002640800 1098130400 1153036920 1203168960 1235396700 1246526400 1317756480 1383644304 1441296150 1503961200 1537382560 1647195600 1729555380 1844859072 1869789600 1921728200 1976634720 2005281600 2161944225 2196260800 2306073840 2470793400 2767288608 2882592300 3007922400 3074765120 3294391200 3459110760 3739579200 3843456400 3953269440 4323888450 4612147680 4941586800 5534577216 5765184600 6015844800 6588782400 6918221520 7686912800 8647776900 9224295360 9883173600 11530369200 13836443040 15373825600 17295553800 19766347200 23060738400 27672886080 34591107600 46121476800 69182215200 138364430400
• Sum of all divisors σ(n): 602694353664
• Sum of proper divisors (its aliquot sum) s(n): 464329923264
• 138364430400 is an abundant number, because the sum of its proper divisors (464329923264) is greater than itself. Its abundance is 325965492864

Bases of 138364430400

• Binary: 10000000110111001010011010100001000000₂
• Hexadecimal: 0x203729A840
• Base-36: 1RKALXS0

Squares and roots of 138364430400

• 138364430400 squared (138364430400²) is 19144715599916444160000
• 138364430400 cubed (138364430400³) is 2648947669152433083791806464000000
• The square root of 138364430400 is 371973.6958442087
• The cube root of 138364430400 is 5172.1941633565

Scales and comparisons

• 138,364,430,400 seconds is equal to 4,399 years, 29 weeks, 1 day, 4 hours.
• To count from 1 to 138,364,430,400 would take you about eight thousand, seven hundred ninety-nine 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 138364430400 cubic inches would be around 431 feet tall.

Recreational maths with 138364430400

• 138364430400 backwards is 004034463831
• 138364430400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138364430400's digits is 36
• More coming soon!