13083314400
13,083,314,400 is an even composite number composed of six prime numbers multiplied together.
13083314400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13083314400:
25 × 35 × 52 × 13 × 31 × 167
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 31 × 167)See below for interesting mathematical facts about the number 13083314400 from the Numbermatics database.
Names of 13083314400
- Cardinal: 13083314400 can be written as Thirteen billion, eighty-three million, three hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.30833144 × 1010
Factors of 13083314400
Divisors of 13083314400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 31 32 36 39 40 45 48 50 52 54 60 62 65 72 75 78 80 81 90 93 96 100 104 108 117 120 124 130 135 144 150 155 156 160 162 167 180 186 195 200 208 216 225 234 240 243 248 260 270 279 288 300 310 312 324 325 334 351 360 372 390 400 403 405 416 432 450 465 468 480 486 496 501 520 540 558 585 600 620 624 648 650 668 675 702 720 744 775 780 800 806 810 835 837 864 900 930 936 972 975 992 1002 1040 1053 1080 1116 1170 1200 1209 1215 1240 1248 1296 1300 1336 1350 1395 1404 1440 1488 1503 1550 1560 1612 1620 1670 1674 1755 1800 1860 1872 1944 1950 2004 2015 2025 2080 2106 2160 2171 2232 2325 2340 2400 2418 2430 2480 2505 2511 2592 2600 2672 2700 2790 2808 2925 2976 3006 3100 3120 3159 3224 3240 3340 3348 3510 3600 3627 3720 3744 3888 3900 4008 4030 4050 4175 4185 4212 4320 4342 4464 4509 4650 4680 4836 4860 4960 5010 5022 5177 5200 5265 5344 5400 5580 5616 5850 6012 6045 6075 6200 6240 6318 6448 6480 6513 6680 6696 6975 7020 7200 7254 7440 7515 7533 7776 7800 8016 8060 8100 8350 8370 8424 8684 8775 8928 9018 9300 9360 9672 9720 10020 10044 10075 10354 10400 10530 10800 10855 10881 11160 11232 11700 12024 12090 12150 12400 12525 12555 12636 12896 12960 13026 13360 13392 13527 13950 14040 14508 14880 15030 15066 15531 15600 15795 16032 16120 16200 16700 16740 16848 17368 17550 18036 18135 18600 18720 19344 19440 19539 20040 20088 20150 20708 20925 21060 21600 21710 21762 22320 22545 23400 24048 24180 24300 24800 25050 25110 25272 25885 26052 26325 26720 26784 27054 27900 28080 29016 30060 30132 30225 31062 31200 31590 32240 32400 32565 32643 33400 33480 33696 34736 35100 36072 36270 37200 37575 37665 38688 38880 39078 40080 40176 40300 40581 41416 41850 42120 43420 43524 44640 45090 46593 46800 48096 48360 48600 50100 50220 50544 51770 52104 52650 54108 54275 54405 55800 56160 58032 58617 60120 60264 60450 62124 62775 63180 64480 64800 65130 65286 66800 66960 67301 67635 69472 70200 72144 72540 74400 75150 75330 77655 78156 78975 80160 80352 80600 81162 82832 83700 84240 86840 87048 90180 90675 93186 93600 96720 97200 97695 97929 100200 100440 101088 103540 104208 105300 108216 108550 108810 111600 112725 116064 117234 120240 120528 120900 124248 125550 126360 129425 130260 130572 133600 133920 134602 135270 139779 140400 144288 145080 150300 150660 155310 156312 157950 161200 162324 162825 163215 165664 167400 168480 173680 174096 175851 180360 181350 186372 188325 193440 194400 195390 195858 200400 200880 201903 202905 207080 208416 210600 216432 217100 217620 223200 225450 232965 234468 240480 241056 241800 248496 251100 252720 258850 260520 261144 269204 270540 272025 279558 280800 290160 293085 300600 301320 310620 312624 315900 322400 324648 325650 326430 334800 336505 338175 347360 348192 351702 360720 362700 372744 376650 388275 390780 391716 400800 401760 403806 405810 414160 419337 421200 432864 434200 435240 450900 465930 468936 483600 488475 489645 496992 502200 505440 517700 521040 522288 527553 538408 541080 544050 559116 580320 586170 601200 602640 605709 621240 625248 631800 649296 651300 652860 669600 673010 676350 698895 703404 721440 725400 745488 753300 776550 781560 783432 807612 811620 816075 828320 838674 842400 868400 870480 879255 901800 931860 937872 967200 976950 979290 1004400 1009515 1014525 1035400 1042080 1044576 1055106 1076816 1082160 1088100 1118232 1164825 1172340 1202400 1205280 1211418 1242480 1258011 1263600 1298592 1302600 1305720 1346020 1352700 1397790 1406808 1450800 1465425 1490976 1506600 1553100 1563120 1566864 1615224 1623240 1632150 1677348 1682525 1736800 1740960 1758510 1803600 1817127 1863720 1875744 1953900 1958580 2008800 2019030 2029050 2070800 2096685 2110212 2153632 2164320 2176200 2236464 2329650 2344680 2422836 2448225 2484960 2516022 2527200 2605200 2611440 2637765 2692040 2705400 2795580 2813616 2901600 2930850 3013200 3028545 3106200 3126240 3133728 3230448 3246480 3264300 3354696 3365050 3494475 3517020 3607200 3634254 3727440 3907800 3917160 4038060 4058100 4141600 4193370 4220424 4352400 4396275 4472928 4659300 4689360 4845672 4896450 5032044 5047575 5210400 5222880 5275530 5384080 5410800 5451381 5591160 5627232 5861700 6026400 6057090 6212400 6290055 6460896 6492960 6528600 6709392 6730100 6988950 7034040 7268508 7454880 7815600 7834320 8076120 8116200 8386740 8440848 8704800 8792550 9085635 9318600 9378720 9691344 9792900 10064088 10095150 10483425 10551060 10768160 10821600 10902762 11182320 11723400 12114180 12424800 12580110 13057200 13188825 13418784 13460200 13977900 14068080 14537016 15142725 15631200 15668640 16152240 16232400 16354143 16773480 16881696 17585100 18171270 18637200 19382688 19585800 20128176 20190300 20966850 21102120 21805524 22364640 23446800 24228360 25160220 26114400 26377650 26920400 27256905 27955800 28136160 29074032 30285450 31450275 32304480 32464800 32708286 33546960 35170200 36342540 37274400 39171600 40256352 40380600 41933700 42204240 43611048 45428175 46893600 48456720 50320440 52755300 53840800 54513810 55911600 58148064 60570900 62900550 65416572 67093920 70340400 72685080 78343200 80761200 81770715 83867400 84408480 87222096 90856350 96913440 100640880 105510600 109027620 111823200 121141800 125801100 130833144 136284525 140680800 145370160 161522400 163541430 167734800 174444192 181712700 201281760 211021200 218055240 242283600 251602200 261666288 272569050 290740320 327082860 335469600 363425400 408853575 422042400 436110480 484567200 503204400 523332576 545138100 654165720 726850800 817707150 872220960 1006408800 1090276200 1308331440 1453701600 1635414300 2180552400 2616662880 3270828600 4361104800 6541657200 13083314400
- Sum of all divisors σ(n): 53504575488
- Sum of proper divisors (its aliquot sum) s(n): 40421261088
- 13083314400 is an abundant number, because the sum of its proper divisors (40421261088) is greater than itself. Its abundance is 27337946688
Bases of 13083314400
- Binary: 11000010111101001110001000111000002
- Hexadecimal: 0x30BD388E0
- Base-36: 60DGU00
Squares and roots of 13083314400
- 13083314400 squared (130833144002) is 171173115689247360000
- 13083314400 cubed (130833144003) is 2239511689389995910249984000000
-
The
square root of 13083314400 is 114382.3168151441 -
The
cube root of 13083314400 is 2356.3470730457
Scales and comparisons
How big is 13083314400?- 13,083,314,400 seconds is equal to 416 years, 3 days, 6 hours.
-
To count from 1 to 13,083,314,400 would take you about eight hundred thirty-two 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 13083314400 cubic inches would be around 196.4 feet tall.
Recreational maths with 13083314400
- 13083314400 backwards is 00441338031
- 13083314400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13083314400's digits is 27
- More coming soon!
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