138221510400

Names of 138221510400

• Cardinal: 138221510400 can be written as One hundred thirty-eight billion, two hundred twenty-one million, five hundred ten thousand, four hundred.

Scientific notation

• Scientific notation: 1.382215104 × 10¹¹

Factors of 138221510400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 149

Divisors of 138221510400

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 47 48 50 54 60 61 62 64 72 75 80 81 90 93 94 96 100 108 120 122 124 128 135 141 144 150 155 160 162 180 183 186 188 192 200 216 225 235 240 243 244 248 256 270 279 282 288 300 305 310 320 324 360 366 372 376 384 400 405 423 432 450 465 470 480 486 488 496 540 549 558 564 576 600 610 620 640 648 675 705 720 732 744 752 768 775 800 810 837 846 864 900 915 930 940 960 972 976 992 1080 1098 1116 1128 1152 1175 1200 1215 1220 1240 1269 1280 1296 1350 1395 1410 1440 1457 1464 1488 1504 1525 1550 1600 1620 1647 1674 1692 1728 1800 1830 1860 1880 1891 1920 1944 1952 1984 2025 2115 2160 2196 2232 2256 2304 2325 2350 2400 2430 2440 2480 2511 2538 2592 2700 2745 2790 2820 2867 2880 2914 2928 2976 3008 3050 3100 3200 3240 3294 3348 3384 3456 3525 3600 3660 3720 3760 3782 3807 3840 3888 3904 3968 4050 4185 4230 4320 4371 4392 4464 4512 4575 4650 4700 4800 4860 4880 4941 4960 5022 5076 5184 5400 5490 5580 5640 5673 5734 5760 5828 5856 5952 6016 6075 6100 6200 6345 6400 6480 6588 6696 6768 6912 6975 7050 7200 7285 7320 7440 7520 7533 7564 7614 7776 7808 7936 8100 8235 8370 8460 8601 8640 8742 8784 8928 9024 9150 9300 9400 9455 9600 9720 9760 9882 9920 10044 10152 10368 10575 10800 10980 11160 11280 11346 11421 11468 11520 11656 11712 11904 12032 12150 12200 12400 12555 12690 12960 13113 13176 13392 13536 13725 13950 14100 14335 14400 14570 14640 14823 14880 15040 15066 15128 15228 15552 15616 16200 16470 16740 16920 17019 17202 17280 17484 17568 17856 18048 18300 18600 18800 18910 19035 19200 19440 19520 19764 19840 20088 20304 20736 20925 21150 21600 21855 21960 22320 22560 22692 22842 22936 23312 23424 23808 24300 24400 24705 24800 25110 25380 25803 25920 26226 26352 26784 27072 27450 27900 28200 28365 28670 28800 29140 29280 29646 29760 30080 30132 30256 30456 31104 31725 32400 32940 33480 33840 34038 34404 34560 34968 35136 35712 36096 36425 36600 37200 37600 37665 37820 38070 38880 39040 39339 39528 39680 40176 40608 41175 41850 42300 43005 43200 43710 43920 44640 45120 45384 45684 45872 46624 46848 47275 48600 48800 49410 49600 50220 50760 51057 51606 51840 52452 52704 53568 54144 54900 55800 56400 56730 57105 57340 57600 58280 58560 59292 59520 60160 60264 60512 60912 62208 62775 63450 64800 65565 65880 66960 67680 68076 68808 69936 70272 71424 71675 72850 73200 74115 74400 75200 75330 75640 76140 77409 77760 78080 78678 79056 80352 81216 82350 83700 84600 85095 86010 86400 87420 87840 88877 89280 90240 90768 91368 91744 93248 94550 95175 97200 97600 98820 99200 100440 101520 102114 103212 103680 104904 105408 107136 108288 109275 109800 111600 112800 113460 114210 114680 116560 117120 118017 118584 119040 120528 121024 121824 123525 125550 126900 129015 129600 131130 131760 133920 135360 136152 137616 139872 140544 141825 143350 145700 146400 148230 148800 150400 150660 151280 152280 153171 154818 155520 157356 158112 160704 162432 164700 167400 169200 170190 172020 172800 174840 175680 177754 178560 180480 181536 182736 183488 186496 188325 189100 190350 194400 195200 196695 197640 198400 200880 203040 204228 206424 209808 210816 214272 215025 218550 219600 223200 225600 226920 228420 229360 232227 233120 234240 236034 237168 241056 242048 243648 247050 251100 253800 255285 258030 259200 262260 263520 266631 267840 270720 272304 275232 279744 283650 285525 286700 291400 292800 296460 297600 300800 301320 302560 304560 306342 309636 311040 314712 316224 321408 324864 327825 329400 334800 338400 340380 344040 349680 351360 354051 355508 357120 363072 365472 366976 370575 372992 376650 378200 380700 387045 388800 390400 393390 395280 401760 406080 408456 412848 419616 421632 425475 430050 437100 439200 444385 446400 451200 453840 456840 458720 459513 464454 466240 472068 474336 482112 484096 487296 494100 502200 507600 510570 516060 518400 524520 527040 533262 535680 541440 544608 550464 559488 567300 571050 573400 582800 585600 590085 592920 595200 602640 605120 609120 612684 619272 629424 632448 642816 645075 655650 658800 669600 676800 680760 688080 696681 699360 702720 708102 711016 726144 730944 733952 741150 753300 756400 761400 765855 774090 777600 786780 790560 799893 803520 812160 816912 825696 839232 850950 860100 874200 878400 888770 892800 902400 907680 913680 917440 919026 928908 932480 944136 948672 964224 974592 983475 988200 1004400 1015200 1021140 1032120 1049040 1054080 1066524 1071360 1089216 1100928 1118976 1134600 1142100 1146800 1161135 1165600 1171200 1180170 1185840 1205280 1210240 1218240 1225368 1238544 1258848 1264896 1276425 1290150 1311300 1317600 1333155 1339200 1353600 1361520 1376160 1393362 1398720 1416204 1422032 1452288 1461888 1482300 1506600 1512800 1522800 1531710 1548180 1555200 1573560 1581120 1599786 1607040 1624320 1633824 1651392 1678464 1701900 1720200 1748400 1756800 1770255 1777540 1785600 1815360 1827360 1834880 1838052 1857816 1864960 1888272 1897344 1928448 1935225 1966950 1976400 2008800 2030400 2042280 2064240 2098080 2108160 2133048 2178432 2201856 2221925 2269200 2284200 2293600 2297565 2322270 2331200 2360340 2371680 2399679 2410560 2420480 2436480 2450736 2477088 2517696 2552850 2580300 2622600 2635200 2666310 2678400 2707200 2723040 2752320 2786724 2797440 2832408 2844064 2923776 2950425 2964600 3013200 3025600 3045600 3063420 3096360 3147120 3162240 3199572 3214080 3267648 3302784 3356928 3403800 3440400 3483405 3496800 3513600 3540510 3555080 3630720 3654720 3669760 3676104 3715632 3776544 3794688 3829275 3870450 3933900 3952800 3999465 4017600 4060800 4084560 4128480 4196160 4266096 4356864 4443850 4538400 4568400 4587200 4595130 4644540 4662400 4720680 4743360 4799358 4821120 4872960 4901472 4954176 5035392 5105700 5160600 5245200 5270400 5332620 5356800 5446080 5504640 5573448 5594880 5664816 5688128 5805675 5900850 5929200 6026400 6051200 6091200 6126840 6192720 6294240 6324480 6399144 6535296 6605568 6665775 6807600 6880800 6966810 6993600 7081020 7110160 7199037 7261440 7309440 7352208 7431264 7553088 7658550 7740900 7867800 7905600 7998930 8035200 8121600 8169120 8256960 8392320 8532192 8851275 8887700 9076800 9136800 9174400 9190260 9289080 9324800 9441360 9486720 9598716 9642240 9802944 9908352 10070784 10211400 10321200 10490400 10540800 10665240 10892160 11009280 11146896 11329632 11376256 11487825 11611350 11801700 11858400 11998395 12052800 12102400 12182400 12253680 12385440 12588480 12798288 13070592 13331550 13615200 13761600 13933620 13987200 14162040 14220320 14398074 14618880 14704416 14862528 15106176 15317100 15481800 15735600 15811200 15997860 16070400 16338240 16513920 16784640 17064384 17417025 17702550 17775400 18153600 18273600 18348800 18380520 18578160 18882720 18973440 19197432 19605888 19816704 19997325 20422800 20642400 20980800 21330480 21597111 21784320 22293792 22659264 22752512 22975650 23222700 23603400 23716800 23996790 24105600 24364800 24507360 24770880 25176960 25596576 26663100 27230400 27523200 27867240 27974400 28324080 28440640 28796148 29408832 29725056 30212352 30634200 30963600 31471200 31622400 31995720 32676480 33027840 34128768 34834050 35405100 35550800 35995185 36307200 36547200 36761040 37156320 37765440 38394864 39211776 39994650 40845600 41284800 41961600 42660960 43194222 44587584 45318528 45951300 46445400 47206800 47433600 47993580 48211200 49014720 49541760 50353920 51193152 53326200 54460800 55046400 55734480 56648160 56881280 57592296 58817664 59450112 59991975 61268400 61927200 62942400 63991440 65352960 68257536 69668100 70810200 71101600 71990370 73094400 73522080 74312640 75530880 76789728 79989300 81691200 82569600 83923200 85321920 86388444 89175168 90637056 91902600 92890800 94413600 94867200 95987160 98029440 99083520 102386304 106652400 107985555 108921600 111468960 113296320 113762560 115184592 117635328 119983950 122536800 123854400 125884800 127982880 139336200 141620400 142203200 143980740 147044160 148625280 151061760 153579456 159978600 163382400 165139200 170643840 172776888 178350336 179975925 183805200 185781600 188827200 191974320 196058880 204772608 213304800 215971110 222937920 226592640 230369184 239967900 245073600 247708800 251769600 255965760 278672400 283240800 284406400 287961480 294088320 297250560 307158912 319957200 326764800 341287680 345553776 359951850 367610400 371563200 377654400 383948640 426609600 431942220 445875840 453185280 460738368 479935800 490147200 495417600 511931520 539927775 557344800 566481600 568812800 575922960 588176640 614317824 639914400 691107552 719903700 735220800 743126400 755308800 767897280 853219200 863884440 891751680 921476736 959871600 980294400 1023863040 1079855550 1114689600 1132963200 1151845920 1279828800 1382215104 1439807400 1470441600 1486252800 1535794560 1706438400 1727768880 1842953472 1919743200 2159711100 2229379200 2265926400 2303691840 2559657600 2764430208 2879614800 2940883200 3071589120 3455537760 3839486400 4319422200 4458758400 4607383680 5119315200 5528860416 5759229600 6911075520 7678972800 8638844400 9214767360 11518459200 13822151040 15357945600 17277688800 23036918400 27644302080 34555377600 46073836800 69110755200 138221510400
• Sum of all divisors σ(n): 549119520768
• Sum of proper divisors (its aliquot sum) s(n): 410898010368
• 138221510400 is an abundant number, because the sum of its proper divisors (410898010368) is greater than itself. Its abundance is 272676499968

Bases of 138221510400

• Binary: 10000000101110101001001101111100000000₂
• Hexadecimal: 0x202EA4DF00
• Base-36: 1RHXIO00

Squares and roots of 138221510400

• 138221510400 squared (138221510400²) is 19105185937257308160000
• 138221510400 cubed (138221510400³) is 2640747656720544767313444864000000
• The square root of 138221510400 is 371781.5358513653
• The cube root of 138221510400 is 5170.4127212863

Scales and comparisons

• 138,221,510,400 seconds is equal to 4,395 years, 6 days.
• To count from 1 to 138,221,510,400 would take you about eight thousand, seven hundred ninety 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 138221510400 cubic inches would be around 430.9 feet tall.

Recreational maths with 138221510400

• 138221510400 backwards is 004015122831
• 138221510400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138221510400's digits is 27
• More coming soon!