138584768400

Names of 138584768400

• Cardinal: 138584768400 can be written as One hundred thirty-eight billion, five hundred eighty-four million, seven hundred sixty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.385847684 × 10¹¹

Factors of 138584768400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1944

Divisors of 138584768400

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 31 34 36 39 40 45 48 50 51 52 54 60 62 65 68 72 75 78 80 85 90 93 100 102 104 108 117 120 124 130 135 136 144 150 153 155 156 170 180 186 195 200 204 208 216 221 225 234 240 248 255 260 270 272 279 300 306 310 312 325 340 351 360 372 390 400 403 408 425 432 442 450 459 465 468 496 510 520 527 540 558 585 600 612 620 624 650 663 675 680 702 720 744 765 775 780 806 816 837 850 884 900 918 930 936 975 1020 1040 1054 1080 1105 1116 1170 1200 1209 1224 1240 1275 1300 1326 1350 1360 1395 1404 1488 1530 1550 1560 1581 1612 1674 1700 1755 1768 1800 1836 1860 1872 1873 1950 1989 2015 2040 2108 2160 2210 2232 2295 2325 2340 2418 2448 2480 2550 2600 2635 2652 2700 2790 2808 2925 3060 3100 3120 3162 3224 3315 3348 3400 3510 3536 3600 3627 3672 3720 3746 3825 3900 3978 4030 4080 4185 4216 4420 4464 4590 4650 4680 4743 4836 5100 5200 5270 5304 5400 5525 5580 5616 5619 5850 5967 6045 6120 6200 6324 6448 6630 6696 6800 6851 6975 7020 7254 7344 7440 7492 7650 7800 7905 7956 8060 8370 8432 8775 8840 9180 9300 9360 9365 9486 9672 9945 10075 10200 10540 10608 10800 10881 11050 11160 11238 11475 11700 11934 12090 12240 12400 12648 13175 13260 13392 13702 13950 14040 14229 14508 14984 15300 15600 15810 15912 16120 16575 16740 16857 17550 17680 18135 18360 18600 18730 18972 19344 19890 20150 20400 20553 20925 21080 21762 22100 22320 22476 22950 23400 23715 23868 24180 24349 25296 26350 26520 27404 27900 28080 28095 28458 29016 29835 29968 30225 30600 31620 31824 31841 32240 33150 33480 33714 34255 35100 36270 36720 37200 37460 37944 39525 39780 40300 41106 41850 42160 43524 44200 44952 45900 46800 46825 47430 47736 48360 48698 49725 50571 52700 53040 54405 54808 55800 56190 56916 58032 58063 59670 60450 61200 61659 63240 63682 66300 66960 67428 68510 70200 71145 72540 73047 74920 75888 79050 79560 80600 82212 83700 84285 87048 88400 89904 90675 91800 93650 94860 95472 95523 96720 97396 99450 101142 102765 105400 108810 109616 111600 112380 113832 116126 118575 119340 120900 121745 123318 126480 127364 132600 134856 137020 140400 140475 142290 145080 146094 149175 149840 158100 159120 159205 161200 164424 167400 168570 171275 174096 174189 181350 183600 184977 187300 189720 191046 194792 198900 202284 205530 210800 217620 219141 224760 227664 232252 237150 238680 241800 243490 246636 252855 254728 265200 269712 272025 274040 280950 284580 286569 290160 290315 292188 298350 308295 316200 318410 328848 334800 337140 342550 348378 355725 362700 365235 369954 374600 379440 382092 389584 397800 404568 411060 413933 421425 435240 438282 449520 464504 474300 477360 477615 483600 486980 493272 505710 509456 513825 522567 544050 548080 561900 569160 573138 580630 584376 596700 608725 616590 632400 636820 657423 674280 685100 696756 711450 725400 730470 739908 749200 754819 764184 795600 796025 809136 822120 827866 842850 859707 870480 870945 876564 924885 929008 948600 955230 973960 986544 987071 1011420 1027650 1045134 1088100 1095705 1123800 1138320 1146276 1161260 1168752 1193400 1217450 1233180 1241799 1264275 1273640 1314846 1348560 1370200 1393512 1422900 1432845 1450800 1451575 1460940 1479816 1509638 1528368 1541475 1567701 1592050 1644240 1655732 1685700 1719414 1741890 1753128 1826175 1849770 1897200 1910460 1947920 1974142 2022840 2055300 2069665 2090268 2176200 2191410 2247600 2264457 2292552 2322520 2386800 2388075 2434900 2466360 2483598 2528550 2547280 2612835 2629692 2740400 2787024 2845800 2865690 2903150 2921880 2959632 2961213 3019276 3082950 3135402 3184100 3287115 3311464 3371400 3438828 3483780 3506256 3652350 3699540 3725397 3774095 3820920 3948284 4045680 4110600 4139330 4180536 4298535 4352400 4354725 4382820 4528914 4585104 4624425 4645040 4776150 4869800 4932720 4935355 4967196 5057100 5225670 5259384 5478525 5691600 5731380 5806300 5843760 5922426 6038552 6165900 6208995 6270804 6368200 6574230 6622928 6742800 6793371 6877656 6967560 7164225 7304700 7399080 7450794 7548190 7641840 7838505 7896568 8221200 8278660 8361072 8597070 8709450 8765640 8883639 9057828 9248850 9552300 9739600 9870710 9934392 10114200 10348325 10451340 10518768 10957050 11176191 11322285 11462760 11612600 11844852 12077104 12331800 12417990 12541608 12736400 12831923 13064175 13148460 13586742 13755312 13935120 14328450 14609400 14798160 14806065 14901588 15096380 15677010 15793136 16435575 16557320 17194140 17418900 17531280 17767278 18115656 18497700 18626985 18870475 19104600 19741420 19868784 20228400 20380113 20696650 20902680 21492675 21914100 22352382 22644570 22925520 23225200 23689704 24663600 24676775 24835980 25083216 25663846 26128350 26296920 26650917 27173484 28656900 29218800 29612130 29803176 30192760 31044975 31354020 32871150 33114640 33966855 34388280 34837800 35534556 36231312 36995400 37253970 37740950 38209200 38495769 39192525 39482840 40760226 41393300 41805360 42985350 43828200 44418195 44704764 45289140 47379408 49353550 49671960 51327692 52256700 52593840 53301834 54346968 55880955 56611425 57313800 59224260 59606352 60385520 62089950 62708040 64159615 65742300 67933710 68776560 69675600 71069112 73990800 74030325 74507940 75481900 76991538 78385050 78965680 81520452 82786600 85970700 87656400 88836390 89409528 90578280 93134925 98707100 99343920 101900565 102655384 104513400 106603668 108693936 111761910 113222850 114627600 115487307 118448520 124179900 125416080 128319230 131484600 133254585 135867420 142138224 148060650 149015880 150963800 153983076 156770100 163040904 165573200 169834275 171941400 177672780 178819056 181156560 186269850 192478845 197414200 203801130 205310768 209026800 213207336 222090975 223523820 226445700 230974614 236897040 248359800 256638460 262969200 266509170 271734840 279404775 296121300 298031760 301927600 307966152 313540200 320798075 326081808 339668550 343882800 346461921 355345560 372539700 384957690 394828400 407602260 426414672 444181950 447047640 452891400 461949228 496719600 509502825 513276920 533018340 543469680 558809550 577436535 592242600 615932304 627080400 641596150 666272925 679337100 692923842 710691120 745079400 769915380 815204520 888363900 894095280 905782800 923898456 962394225 1019005650 1026553840 1066036680 1117619100 1154873070 1184485200 1283192300 1332545850 1358674200 1385847684 1490158800 1539830760 1630409040 1732309605 1776727800 1847796912 1924788450 2038011300 2132073360 2235238200 2309746140 2566384600 2665091700 2717348400 2771695368 2887182675 3079661520 3464619210 3553455600 3849576900 4076022600 4470476400 4619492280 5132769200 5330183400 5543390736 5774365350 6929238420 7699153800 8152045200 8661548025 9238984560 10660366800 11548730700 13858476840 15398307600 17323096050 23097461400 27716953680 34646192100 46194922800 69292384200 138584768400
• Sum of all divisors σ(n): 580902819840
• Sum of proper divisors (its aliquot sum) s(n): 442318051440
• 138584768400 is an abundant number, because the sum of its proper divisors (442318051440) is greater than itself. Its abundance is 303733283040

Bases of 138584768400

• Binary: 10000001000100010010111011111110010000₂
• Hexadecimal: 0x20444BBF90
• Base-36: 1RNXSJO0

Squares and roots of 138584768400

• 138584768400 squared (138584768400²) is 19205738032481638560000
• 138584768400 cubed (138584768400³) is 2661622757182539557090109504000000
• The square root of 138584768400 is 372269.7521959043
• The cube root of 138584768400 is 5174.9381887177

Scales and comparisons

• 138,584,768,400 seconds is equal to 4,406 years, 29 weeks, 3 days, 9 hours.
• To count from 1 to 138,584,768,400 would take you about eight thousand, eight hundred thirteen 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 138584768400 cubic inches would be around 431.2 feet tall.

Recreational maths with 138584768400

• 138584768400 backwards is 004867485831
• 138584768400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138584768400's digits is 54
• More coming soon!