106131362400

Names of 106131362400

• Cardinal: 106131362400 can be written as One hundred six billion, one hundred thirty-one million, three hundred sixty-two thousand, four hundred.

Scientific notation

• Scientific notation: 1.061313624 × 10¹¹

Factors of 106131362400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 426

Divisors of 106131362400

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 37 40 42 45 48 50 54 56 60 61 63 70 72 74 75 80 84 90 96 100 105 108 111 112 120 122 126 135 140 144 148 150 160 168 175 180 183 185 189 200 210 216 222 224 225 240 244 252 259 270 280 288 296 300 305 311 315 333 336 350 360 366 370 378 400 420 427 432 444 450 480 488 504 518 525 540 549 555 560 592 600 610 622 630 666 672 675 700 720 732 740 756 777 800 840 854 864 888 900 915 925 933 945 976 999 1008 1036 1050 1080 1098 1110 1120 1184 1200 1220 1244 1260 1281 1295 1332 1350 1400 1440 1464 1480 1512 1525 1554 1555 1575 1647 1665 1680 1708 1776 1800 1830 1850 1866 1890 1952 1998 2016 2072 2100 2135 2160 2177 2196 2220 2257 2331 2400 2440 2488 2520 2562 2590 2664 2700 2745 2775 2799 2800 2928 2960 3024 3050 3108 3110 3150 3294 3330 3360 3416 3552 3600 3660 3700 3732 3780 3843 3885 3996 4144 4200 4270 4320 4354 4392 4440 4514 4575 4662 4665 4725 4880 4976 4995 5040 5124 5180 5328 5400 5490 5550 5598 5600 5856 5920 6048 6100 6216 6220 6300 6405 6475 6531 6588 6660 6771 6832 6993 7200 7320 7400 7464 7560 7686 7770 7775 7992 8235 8288 8325 8397 8400 8540 8708 8784 8880 9028 9150 9324 9330 9450 9760 9952 9990 10080 10248 10360 10656 10675 10800 10885 10980 11100 11196 11285 11507 11529 11655 12200 12432 12440 12600 12810 12950 13062 13176 13320 13542 13664 13725 13986 13995 14640 14800 14928 15120 15372 15540 15550 15799 15984 16470 16650 16794 16800 17080 17416 17568 17760 18056 18300 18648 18660 18900 18971 19215 19425 19593 19980 20313 20496 20720 21350 21600 21770 21960 22200 22392 22570 23014 23058 23310 23325 24400 24864 24880 24975 25200 25620 25900 26124 26352 26640 27084 27450 27972 27990 29280 29600 29856 30240 30744 31080 31100 31598 31968 32025 32655 32940 33300 33588 33855 34160 34521 34832 34965 36112 36600 37296 37320 37800 37942 38430 38850 39186 39960 40626 40992 41175 41440 41985 42700 43540 43920 44400 44784 45140 46028 46116 46620 46650 47397 48800 49760 49950 50400 51240 51800 52248 52704 53280 54168 54425 54900 55944 55980 56425 56913 57535 57645 58275 58779 60939 61488 62160 62200 63196 64050 65310 65880 66600 67176 67710 68320 69042 69664 69930 69975 72224 73200 74592 74640 75600 75884 76860 77700 78372 78995 79920 80549 81252 82350 83970 85400 87080 87840 88800 89568 90280 92056 92232 93240 93300 94794 94855 96075 97965 99900 101565 102480 103563 103600 104496 108336 108850 109800 111888 111960 112850 113826 115070 115290 116550 117558 121878 122976 124320 124400 126392 128100 130620 131760 132797 133200 134352 135420 138084 139860 139950 142191 146400 149280 151200 151768 153720 155400 156744 157990 159840 161098 162504 163275 164700 167940 169275 170739 170800 172605 174160 174825 180560 184112 184464 186480 186600 189588 189710 192150 195930 199800 203130 204960 207126 207200 208992 209925 216672 217700 219600 223776 223920 225700 227652 230140 230580 233100 235116 236985 241647 243756 248800 252784 256200 261240 263520 265594 266400 268704 270840 276168 279720 279900 284382 284565 287675 288225 293895 303536 304695 307440 310689 310800 313488 315980 322196 325008 326550 329400 335880 338550 341478 341600 345210 348320 349650 361120 368224 368928 372960 373200 379176 379420 384300 391860 394975 398391 399600 402745 406260 414252 419850 426573 435400 439200 447840 451400 455304 460280 461160 466200 470232 473970 474275 483294 487512 489825 505568 507825 512217 512400 517815 522480 531188 541680 552336 559440 559800 568764 569130 575350 576450 587790 607072 609390 614880 621378 621600 626976 631960 644392 650016 653100 658800 663985 671760 677100 682956 690420 699300 701927 710955 724941 746400 758352 758840 768600 783720 789950 796782 799200 805490 812520 828504 839700 853146 853695 863025 870800 902800 910608 920560 922320 932400 940464 947940 948550 966588 975024 979650 1015650 1024434 1024800 1035630 1044960 1062376 1083360 1104672 1118880 1119600 1137528 1138260 1150700 1152900 1175580 1184925 1195173 1208235 1218780 1242756 1263920 1288784 1306200 1317600 1327970 1343520 1354200 1365912 1380840 1398600 1403854 1421910 1422825 1449882 1469475 1516704 1517680 1523475 1537200 1553445 1567440 1579900 1593564 1610980 1625040 1657008 1679400 1706292 1707390 1726050 1741600 1805600 1821216 1841120 1844640 1864800 1880928 1895880 1897100 1933176 1950048 1959300 1991955 2013725 2031300 2048868 2071260 2105781 2124752 2132865 2174823 2239200 2275056 2276520 2301400 2305800 2351160 2369850 2390346 2416470 2437560 2485512 2527840 2561085 2577568 2589075 2612400 2655940 2708400 2731824 2761680 2797200 2807708 2843820 2845650 2899764 2938950 3035360 3046950 3074400 3106890 3134880 3159800 3187128 3221960 3250080 3314016 3319925 3358800 3412584 3414780 3452100 3509635 3554775 3585519 3624705 3791760 3794200 3866352 3918600 3983910 4027450 4062600 4097736 4142520 4211562 4249504 4265730 4268475 4349646 4550112 4553040 4602800 4611600 4702320 4739700 4780692 4832940 4875120 4913489 4971024 5122170 5178150 5224800 5311880 5416800 5463648 5523360 5594400 5615416 5687640 5691300 5799528 5877900 5975865 6041175 6093900 6213780 6317343 6319600 6374256 6443920 6639850 6717600 6825168 6829560 6904200 7019270 7109550 7171038 7249410 7583520 7588400 7732704 7767225 7837200 7967820 8054900 8125200 8195472 8285040 8423124 8531460 8536950 8699292 9106080 9205600 9223200 9404640 9479400 9561384 9665880 9750240 9826978 9942048 9959775 10244340 10356300 10528905 10623760 10664325 10874115 11230832 11375280 11382600 11599056 11755800 11951730 12082350 12187800 12427560 12634686 12639200 12748512 12805425 12887840 13279700 13650336 13659120 13808400 14038540 14219100 14342076 14498820 14740467 15176800 15534450 15674400 15935640 16109800 16250400 16390944 16570080 16846248 17062920 17073900 17398584 17548175 17927595 18123525 18952029 18958800 19122768 19331760 19653956 19919550 20488680 20712600 21057810 21247520 21328650 21748230 22461664 22750560 22765200 23198112 23511600 23903460 24164700 24375600 24567445 24855120 25269372 25610850 26559400 27318240 27616800 28077080 28438200 28684152 28997640 29480934 29879325 31068900 31586715 31871280 32219600 33692496 34125840 34147800 34797168 35096350 35855190 36247050 37904058 37917600 38245536 38663520 39307912 39839100 40977360 41425200 42115620 42657300 43496460 44221401 45530400 47023200 47806920 48329400 48751200 49134890 49710240 50538744 51221700 52644525 53118800 54370575 56154160 56876400 57368304 57995280 58961868 59758650 62137800 63173430 63742560 64439200 67384992 68251680 68295600 69594336 70192700 71710380 72494100 73702335 75808116 78615824 79678200 81954720 82850400 84231240 85314600 86992920 88442802 89637975 94760145 95613840 96658800 98269780 101077488 102443400 105289050 106237600 108741150 112308320 113752800 114736608 115990560 117923736 119517300 122837225 124275600 126346860 132664203 136591200 140385400 143420760 144988200 147404670 151616232 157231648 157933575 159356400 168462480 170629200 173985840 176885604 179275950 189520290 191227680 193317600 196539560 202154976 204886800 210578100 217482300 221107005 235847472 239034600 245674450 248551200 252693720 265328406 280770800 286841520 289976400 294809340 303232464 315867150 318712800 336924960 341258400 347971680 353771208 358551900 368511675 379040580 393079120 409773600 421156200 434964600 442214010 471694944 473800725 478069200 491348900 505387440 530656812 561541600 573683040 579952800 589618680 606464928 631734300 663321015 707542416 717103800 737023350 758081160 786158240 842312400 869929200 884428020 947601450 956138400 982697800 1010774880 1061313624 1105535025 1179237360 1263468600 1326642030 1415084832 1434207600 1474046700 1516162320 1684624800 1739858400 1768856040 1895202900 1965395600 2122627248 2211070050 2358474720 2526937200 2653284060 2868415200 2948093400 3032324640 3316605075 3537712080 3790405800 3930791200 4245254496 4422140100 5053874400 5306568120 5896186800 6633210150 7075424160 7580811600 8844280200 10613136240 11792373600 13266420300 15161623200 17688560400 21226272480 26532840600 35377120800 53065681200 106131362400
• Sum of all divisors σ(n): 459390597120
• Sum of proper divisors (its aliquot sum) s(n): 353259234720
• 106131362400 is an abundant number, because the sum of its proper divisors (353259234720) is greater than itself. Its abundance is 247127872320

Bases of 106131362400

• Binary: 1100010110101111011000001001001100000₂
• Hexadecimal: 0x18B5EC1260
• Base-36: 1CR7VFC0

Squares and roots of 106131362400

• 106131362400 squared (106131362400²) is 11263866084880133760000
• 106131362400 cubed (106131362400³) is 1195449453479482636643034624000000
• The square root of 106131362400 is 325778.0876609105
• The cube root of 106131362400 is 4734.5776802947

Scales and comparisons

• 106,131,362,400 seconds is equal to 3,374 years, 33 weeks, 5 days, 6 hours.
• To count from 1 to 106,131,362,400 would take you about six thousand, seven hundred forty-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 106131362400 cubic inches would be around 394.5 feet tall.

Recreational maths with 106131362400

• 106131362400 backwards is 004263131601
• 106131362400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 106131362400's digits is 27
• More coming soon!