13734851296992

Names of 13734851296992

• Cardinal: 13734851296992 can be written as Thirteen trillion, seven hundred thirty-four billion, eight hundred fifty-one million, two hundred ninety-six thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 1.3734851296992 × 10¹³

Factors of 13734851296992

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 6731

Divisors of 13734851296992

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 37 38 42 48 56 57 61 73 74 76 84 96 111 112 114 122 133 146 148 152 168 183 219 222 224 228 244 259 266 292 296 304 336 366 399 427 438 444 456 488 511 518 532 584 592 608 672 703 732 777 798 854 876 888 912 976 1022 1036 1064 1159 1168 1184 1281 1387 1406 1464 1533 1554 1596 1708 1752 1776 1824 1952 2044 2072 2109 2128 2257 2318 2336 2562 2701 2774 2812 2928 3066 3108 3192 3416 3477 3504 3552 4088 4144 4161 4218 4256 4453 4514 4636 4921 5124 5402 5548 5624 5856 6132 6216 6384 6529 6771 6832 6954 7008 8103 8113 8176 8288 8322 8436 8906 9028 9272 9709 9842 10248 10804 11096 11248 12264 12432 12768 13058 13359 13542 13664 13908 14763 15799 16206 16226 16352 16644 16872 17812 18056 18544 18907 19418 19587 19684 20496 21608 22192 22496 24339 24528 24864 26116 26718 27084 27816 29127 29526 31171 31598 32412 32452 33288 33744 35624 36112 37088 37814 38836 39174 39368 40992 42883 43216 44384 45703 47397 48678 49056 51319 52232 53436 54168 55632 56721 58254 59052 62342 63196 64824 64904 66576 67488 71248 72224 75628 77672 78348 78736 84607 85766 86432 91406 93513 94794 97356 102638 104464 106872 108336 111264 113442 116508 118104 124051 124684 126392 128649 129648 129808 133152 137109 142496 151256 153957 155344 156696 157472 164761 169214 171532 182812 187026 189588 194712 205276 208928 213744 216672 226884 233016 236208 241573 248102 249368 252784 253821 257298 259296 259616 274218 300181 302512 307914 310688 313392 329522 338428 343064 359233 365624 372153 374052 379176 389424 398269 410552 427488 453768 466032 472416 476617 483146 494283 496204 498736 505568 507642 514596 548436 592249 600362 605024 615828 626784 659044 676856 686128 718466 724719 731248 744306 748104 758352 778848 796538 821104 868357 900543 907536 932064 953234 966292 988566 992408 997472 1015284 1029192 1077699 1096872 1153327 1184498 1194807 1200724 1231656 1318088 1353712 1372256 1429851 1436932 1449438 1462496 1488612 1496208 1516704 1593076 1642208 1691011 1736714 1776747 1801086 1815072 1906468 1932584 1977132 1984816 2030568 2058384 2155398 2193744 2306654 2368996 2389614 2401448 2463312 2605071 2636176 2707424 2787883 2859702 2873864 2898876 2977224 2992416 3130459 3186152 3336319 3382022 3459981 3473428 3553494 3602172 3812936 3865168 3954264 3969632 4061136 4116768 4310796 4387488 4589887 4613308 4737992 4779228 4802896 4926624 5073033 5210142 5272352 5575766 5719404 5747728 5797752 5954448 6260918 6372304 6672638 6764044 6919962 6946856 7106988 7204344 7567111 7625872 7730336 7908528 8122272 8363649 8621592 9055723 9179774 9226616 9391377 9475984 9558456 9605792 10008957 10146066 10420284 11151532 11438808 11495456 11595504 11908896 12521836 12744608 13345276 13528088 13769661 13839924 13893712 14213976 14408688 14735953 15134222 15251744 15817056 16727298 17243184 17634829 18111446 18359548 18453232 18782754 18951968 19116912 20017914 20292132 20840568 21913213 22303064 22701333 22877616 23191008 25043672 26690552 27056176 27167169 27539322 27679848 27787424 28427952 28817376 29073637 29471906 30268444 32129209 33454596 34486368 35269658 36222892 36719096 36906464 37565508 38233824 40035828 40584264 41681136 43826426 44207859 44606128 45402666 45755232 50087344 52904487 52969777 53381104 54112352 54334338 55078644 55359696 56855904 58147274 58943812 60536888 63390061 64258418 65739639 66909192 70539316 72445784 73438192 75131016 80071656 81168528 83362272 87220911 87652852 88415718 89212256 90805332 96387627 100174688 103151671 105808974 105939554 106762208 108668676 110157288 110719392 116294548 117887624 121073776 123443803 126780122 128516836 131479278 133818384 141078632 144891568 146876384 150262032 158909331 160143312 162337056 174441822 175305704 176831436 181610664 190170183 192775254 203515459 206303342 211617948 211879108 217337352 220314576 232589096 235775248 242147552 246887606 253560244 257033672 262958556 267636768 279983107 282157264 289783136 300524064 309455013 317818662 320286624 335061751 348883644 350611408 353662872 363221328 370331409 380340366 385550508 407030918 412606684 423235896 423758216 434674704 440629152 465178192 471550496 493775212 507120488 514067344 525917112 552399103 559966214 564314528 610546377 618910026 635637324 670123502 697767288 701222816 707325744 726442656 740662818 760680732 771101016 814061836 825213368 839949321 846471792 847516432 869349408 930356384 987550424 1005185253 1014240976 1028134688 1051834224 1075724569 1104798206 1119932428 1221092754 1237820052 1271274648 1340247004 1395534576 1414651488 1481325636 1521361464 1542202032 1628123672 1650426736 1657197309 1679898642 1692943584 1695032864 1959881749 1975100848 2010370506 2028481952 2103668448 2151449138 2209596412 2239864856 2345432257 2442185508 2475640104 2542549296 2680494008 2791069152 2962651272 3042722928 3084404064 3227173707 3256247344 3300853472 3314394618 3359797284 3866793721 3919763498 3950201696 4020741012 4302898276 4419192824 4479729712 4690864514 4884371016 4951280208 5085098592 5360988016 5879645247 5925302544 6085445856 6454347414 6512494688 6628789236 6719594568 7036296771 7530071983 7733587442 7839526996 8041482024 8605796552 8838385648 8959459424 9381729028 9768742032 9902560416 10721976032 11600381163 11759290494 11850605088 12908694828 13257578472 13439189136 14072593542 15060143966 15467174884 15679053992 16082964048 17211593104 17676771296 18763458056 19537484064 20438766811 22590215949 23200762326 23518580988 25817389656 26515156944 26878378272 28145187084 30120287932 30934349768 31358107984 32165928096 34423186208 37526916112 40877533622 45180431898 46401524652 47037161976 51634779312 53030313888 56290374168 60240575864 61316300433 61868699536 62716215968 75053832224 81755067244 90360863796 92803049304 94074323952 103269558624 112580748336 120481151728 122632600866 123737399072 143071367677 163510134488 180721727592 185606098608 188148647904 225161496672 240962303456 245265201732 286142735354 327020268976 361443455184 371212197216 429214103031 490530403464 572285470708 654040537952 722886910368 858428206062 981060806928 1144570941416 1716856412124 1962121613856 2289141882832 3433712824248 4578283765664 6867425648496 13734851296992
• Sum of all divisors σ(n): 45902962022400
• Sum of proper divisors (its aliquot sum) s(n): 32168110725408
• 13734851296992 is an abundant number, because the sum of its proper divisors (32168110725408) is greater than itself. Its abundance is 18433259428416

Bases of 13734851296992

• Binary: 11000111110111100100111011101011111011100000₂
• Hexadecimal: 0xC7DE4EEBEE0
• Base-36: 4V9PBU76O

Squares and roots of 13734851296992

• 13734851296992 squared (13734851296992²) is 188646140150482824588248064
• 13734851296992 cubed (13734851296992³) is 2591026682718393629350918550191433023488
• The square root of 13734851296992 is 3706056.0299315497
• The cube root of 13734851296992 is 23948.2980164055

Scales and comparisons

• 13,734,851,296,992 seconds is equal to 436,725 years, 40 weeks, 6 days, 7 hours, 23 minutes, 12 seconds.
• To count from 1 to 13,734,851,296,992 would take you about one million, ninety-one thousand, eight hundred fourteen 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 13734851296992 cubic inches would be around 1995.7 feet tall.

Recreational maths with 13734851296992

• 13734851296992 backwards is 29969215843731
• The number of decimal digits it has is: 14
• The sum of 13734851296992's digits is 69
• More coming soon!