13825840230400
13,825,840,230,400 is an even composite number composed of five prime numbers multiplied together.
13825840230400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 13825840230400:
212 × 52 × 113 × 192 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 19 × 19 × 281)See below for interesting mathematical facts about the number 13825840230400 from the Numbermatics database.
Names of 13825840230400
- Cardinal: 13825840230400 can be written as Thirteen trillion, eight hundred twenty-five billion, eight hundred forty million, two hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.38258402304 × 1013
Factors of 13825840230400
Divisors of 13825840230400
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 64 76 80 88 95 100 110 121 128 152 160 176 190 200 209 220 242 256 275 281 304 320 352 361 380 400 418 440 475 484 512 550 562 605 608 640 704 722 760 800 836 880 950 968 1024 1045 1100 1124 1210 1216 1280 1331 1405 1408 1444 1520 1600 1672 1760 1805 1900 1936 2048 2090 2200 2248 2299 2420 2432 2560 2662 2810 2816 2888 3025 3040 3091 3200 3344 3520 3610 3800 3872 3971 4096 4180 4400 4496 4598 4840 4864 5120 5225 5324 5339 5620 5632 5776 6050 6080 6182 6400 6655 6688 7025 7040 7220 7600 7744 7942 8360 8800 8992 9025 9196 9680 9728 10240 10450 10648 10678 11240 11264 11495 11552 12100 12160 12364 12800 13310 13376 14050 14080 14440 15200 15455 15488 15884 16720 17600 17984 18050 18392 19360 19456 19855 20480 20900 21296 21356 22480 22528 22990 23104 24200 24320 24728 25289 25600 26620 26695 26752 28100 28160 28880 30400 30910 30976 31768 33275 33440 34001 35200 35968 36100 36784 38720 38912 39710 41800 42592 42712 43681 44960 45056 45980 46208 48400 48640 49456 50578 51200 53240 53390 53504 56200 56320 57475 57760 58729 60800 61820 61952 63536 66550 66880 68002 70400 71936 72200 73568 77275 77440 77824 79420 83600 85184 85424 87362 89920 91960 92416 96800 97280 98912 99275 101156 101441 102400 106480 106780 107008 112400 112640 114950 115520 117458 121600 123640 123904 126445 127072 133100 133475 133760 136004 140800 143872 144400 147136 154550 154880 158840 167200 170005 170368 170848 174724 179840 183920 184832 193600 194560 197824 198550 202312 202882 212960 213560 214016 218405 224800 225280 229900 231040 234916 243200 247280 247808 252890 254144 266200 266950 267520 272008 281600 287744 288800 293645 294272 309100 309760 317680 334400 340010 340736 341696 349448 359680 367840 369664 374011 387200 389120 395648 397100 404624 405764 425920 427120 428032 436810 449600 459800 462080 469832 480491 486400 494560 495616 505780 507205 508288 532400 533900 535040 544016 563200 575488 577600 587290 588544 618200 619520 632225 635360 646019 668800 680020 681472 683392 698896 719360 735680 739328 748022 774400 791296 794200 809248 811528 850025 851840 854240 856064 873620 899200 919600 924160 939664 960982 972800 989120 1011560 1014410 1016576 1064800 1067800 1070080 1088032 1092025 1115851 1126400 1150976 1155200 1174580 1177088 1236400 1239040 1264450 1270720 1292038 1337600 1360040 1362944 1366784 1397792 1438720 1468225 1471360 1478656 1496044 1548800 1582592 1588400 1618496 1623056 1700050 1703680 1708480 1747240 1798400 1839200 1848320 1870055 1879328 1921964 1945600 1978240 2023120 2028820 2033152 2129600 2135600 2140160 2176064 2184050 2231702 2310400 2349160 2354176 2402455 2472800 2478080 2528900 2536025 2541440 2584076 2675200 2720080 2725888 2733568 2795584 2877440 2936450 2942720 2992088 3097600 3165184 3176800 3230095 3236992 3246112 3400100 3407360 3416960 3494480 3596800 3678400 3696640 3740110 3758656 3843928 3956480 4046240 4057640 4066304 4259200 4271200 4280320 4352128 4368100 4463404 4620800 4698320 4708352 4804910 4945600 5057800 5072050 5082880 5168152 5350400 5440160 5451776 5467136 5579255 5591168 5754880 5872900 5885440 5984176 6195200 6330368 6353600 6460190 6473984 6492224 6800200 6814720 6833920 6988960 7106209 7193600 7356800 7393280 7480220 7517312 7687856 7912960 8092480 8115280 8132608 8518400 8542400 8704256 8736200 8926808 9241600 9350275 9396640 9416704 9609820 9891200 10115600 10144100 10165760 10336304 10700800 10880320 10934272 11158510 11182336 11745800 11770880 11968352 12012275 12274361 12390400 12660736 12707200 12920380 12947968 12984448 13600400 13629440 13667840 13977920 14212418 14387200 14713600 14960440 15034624 15375712 15825920 16150475 16184960 16230560 16265216 17036800 17084800 17408512 17472400 17853616 18483200 18700550 18793280 19219640 19782400 20231200 20288200 20331520 20672608 21401600 21760640 21868544 22317020 22364672 23491600 23541760 23936704 24024550 24548722 25414400 25840760 25895936 25968896 27200800 27258880 27335680 27896275 27955840 28424836 28774400 29427200 29920880 30069248 30751424 31651840 32300950 32369920 32461120 34073600 34169600 34817024 34944800 35531045 35707232 36966400 37401100 37586560 38439280 39564800 40462400 40576400 40663040 41345216 43521280 44634040 44729344 46983200 47083520 47873408 48049100 49097444 50828800 51681520 51791872 51937792 54401600 54671360 55792550 55911680 56849672 58854400 59841760 60138496 61371805 61502848 63303680 64601900 64739840 64922240 68147200 68339200 69634048 69889600 71062090 71414464 74802200 75173120 76878560 79129600 80924800 81152800 81326080 82690432 87042560 89268080 89458688 93966400 95746816 96098200 98194888 101657600 103363040 103583744 103875584 108803200 109342720 111585100 111823360 113699344 117708800 119683520 120276992 122743610 123005696 129203800 129479680 129844480 135017971 136294400 136678400 139268096 139779200 142124180 142828928 149604400 150346240 153757120 158259200 161849600 162305600 165380864 174085120 177655225 178536160 178917376 187932800 191493632 192196400 196389776 203315200 206726080 207751168 217606400 223170200 223646720 227398688 235417600 239367040 240553984 245487220 246011392 258407600 258959360 259688960 270035942 273356800 279558400 284248360 285657856 299208800 300692480 306859025 307514240 316518400 323699200 324611200 330761728 348170240 355310450 357072320 375865600 382987264 384392800 392779552 406630400 413452160 415502336 435212800 446340400 447293440 454797376 478734080 490974440 492022784 516815200 517918720 519377920 540071884 546713600 559116800 568496720 571315712 598417600 601384960 613718050 615028480 647398400 649222400 661523456 675089855 696340480 710620900 714144640 751731200 765974528 768785600 785559104 826904320 870425600 892680800 894586880 909594752 957468160 981948880 984045568 1033630400 1038755840 1080143768 1118233600 1136993440 1142631424 1196835200 1202769920 1227436100 1230056960 1294796800 1298444800 1323046912 1350179710 1421241800 1428289280 1503462400 1531949056 1537571200 1571118208 1653808640 1740851200 1785361600 1819189504 1914936320 1963897760 1968091136 2067260800 2077511680 2160287536 2236467200 2273986880 2285262848 2393670400 2454872200 2460113920 2589593600 2596889600 2646093824 2700359420 2842483600 2856578560 3006924800 3075142400 3142236416 3307617280 3375449275 3481702400 3570723200 3638379008 3829872640 3927795520 4134521600 4320575072 4472934400 4547973760 4570525696 4787340800 4909744400 4920227840 5193779200 5400718840 5684967200 5713157120 6013849600 6150284800 6284472832 6615234560 6750898550 7141446400 7276758016 7659745280 7855591040 8269043200 8641150144 9095947520 9574681600 9819488800 9840455680 10387558400 10801437680 11369934400 11426314240 12300569600 12568945664 13230469120 13501797100 14282892800 14553516032 15711182080 16538086400 17282300288 18191895040 19149363200 19638977600 21602875360 22739868800 22852628480 24601139200 25137891328 27003594200 28565785600 29107032064 31422364160 33076172800 34564600576 36383790080 38298726400 39277955200 43205750720 45479737600 49202278400 50275782656 54007188400 57131571200 62844728320 66152345600 69129201152 72767580160 78555910400 86411501440 90959475200 108014376800 114263142400 125689456640 138258402304 145535160320 157111820800 172823002880 181918950400 216028753600 251378913280 276516804608 314223641600 345646005760 363837900800 432057507200 553033609216 628447283200 691292011520 727675801600 864115014400 1256894566400 1382584023040 1728230028800 2765168046080 3456460057600 6912920115200 13825840230400
- Sum of all divisors σ(n): 39940526040048
- Sum of proper divisors (its aliquot sum) s(n): 26114685809648
- 13825840230400 is an abundant number, because the sum of its proper divisors (26114685809648) is greater than itself. Its abundance is 12288845579248
Bases of 13825840230400
- Binary: 110010010011000101000100101110110000000000002
- Hexadecimal: 0xC93144BB000
- Base-36: 4WFI4ATJ4
Squares and roots of 13825840230400
- 13825840230400 squared (138258402304002) is 191153858076547125084160000
- 13825840230400 cubed (138258402304003) is 2642862701190897204710040313790464000000
-
The
square root of 13825840230400 is 3718311.4757104467 -
The
cube root of 13825840230400 is 24001.0649008969
Scales and comparisons
How big is 13825840230400?- 13,825,840,230,400 seconds is equal to 439,618 years, 49 weeks, 3 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,825,840,230,400 would take you about one million, ninety-nine thousand and forty-seven 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 13825840230400 cubic inches would be around 2000.1 feet tall.
Recreational maths with 13825840230400
- 13825840230400 backwards is 00403204852831
- 13825840230400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13825840230400's digits is 40
- More coming soon!
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The information we have on file for 13825840230400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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