13759368668800
13,759,368,668,800 is an even composite number composed of six prime numbers multiplied together.
13759368668800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13759368668800:
27 × 52 × 53 × 61 × 281 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 53 × 61 × 281 × 4733)See below for interesting mathematical facts about the number 13759368668800 from the Numbermatics database.
Names of 13759368668800
- Cardinal: 13759368668800 can be written as Thirteen trillion, seven hundred fifty-nine billion, three hundred sixty-eight million, six hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.37593686688 × 1013
Factors of 13759368668800
Divisors of 13759368668800
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 53 61 64 80 100 106 122 128 160 200 212 244 265 281 305 320 400 424 488 530 562 610 640 800 848 976 1060 1124 1220 1325 1405 1525 1600 1696 1952 2120 2248 2440 2650 2810 3050 3200 3233 3392 3904 4240 4496 4733 4880 5300 5620 6100 6466 6784 7025 7808 8480 8992 9466 9760 10600 11240 12200 12932 14050 14893 16165 16960 17141 17984 18932 19520 21200 22480 23665 24400 25864 28100 29786 32330 33920 34282 35968 37864 39040 42400 44960 47330 48800 51728 56200 59572 64660 68564 74465 75728 80825 84800 85705 89920 94660 97600 103456 112400 118325 119144 129320 137128 148930 151456 161650 169600 171410 179840 189320 195200 206912 224800 236650 238288 250849 258640 274256 288713 297860 302912 323300 342820 372325 378640 413824 428525 449600 473300 476576 501698 517280 548512 577426 595720 605824 646600 685640 744650 757280 857050 899200 908473 946600 953152 1003396 1034560 1097024 1154852 1191440 1254245 1293200 1329973 1371280 1443565 1489300 1514560 1714100 1816946 1893200 1906304 2006792 2069120 2194048 2309704 2382880 2508490 2586400 2659946 2742560 2887130 2978600 3029120 3428200 3633892 3786400 4013584 4542365 4619408 4765760 5016980 5172800 5319892 5485120 5774260 5957200 6271225 6649865 6856400 7217825 7267784 7572800 8027168 9084730 9238816 9531520 10033960 10345600 10639784 10970240 11548520 11914400 12542450 13299730 13712800 14435650 14535568 15145600 15301789 16054336 18169460 18477632 20067920 21279568 22711825 23097040 23828800 25084900 26599460 27425600 28871300 29071136 30603578 32108672 33249325 36338920 36955264 40135840 42559136 45423650 46194080 47657600 50169800 53198920 54851200 57742600 58142272 61207156 66498650 70488569 72677840 76508945 80271680 81128353 85118272 90847300 92388160 100339600 106397840 115485200 116284544 122414312 132997300 140977138 145355680 153017890 160543360 162256706 170236544 181694600 184776320 200679200 212795680 230970400 244828624 265994600 281954276 290711360 306035780 324513412 352442845 363389200 382544725 401358400 405641765 425591360 461940800 489657248 531989200 563908552 581422720 612071560 649026824 704885690 726778400 765089450 802716800 811283530 851182720 923881600 979314496 1063978400 1127817104 1224143120 1298053648 1409771380 1453556800 1530178900 1622567060 1762214225 1958628992 2028208825 2127956800 2255634208 2448286240 2596107296 2819542760 2907113600 3060357800 3245134120 3524428450 4056417650 4255913600 4299802709 4511268416 4896572480 5192214592 5639085520 6120715600 6490268240 7048856900 8112835300 8599605418 9022536832 9793144960 10384429184 11278171040 12241431200 12980536480 14097713800 16225670600 17199210836 21499013545 22556342080 24482862400 25961072960 28195427600 32451341200 34398421672 42998027090 45112684160 48965724800 51922145920 56390855200 64902682400 68796843344 85996054180 107495067725 112781710400 129805364800 137593686688 171992108360 214990135450 225563420800 259610729600 275187373376 343984216720 429980270900 550374746752 687968433440 859960541800 1375936866880 1719921083600 2751873733760 3439842167200 6879684334400 13759368668800
- Sum of all divisors σ(n): 35331712308720
- Sum of proper divisors (its aliquot sum) s(n): 21572343639920
- 13759368668800 is an abundant number, because the sum of its proper divisors (21572343639920) is greater than itself. Its abundance is 7812974971120
Bases of 13759368668800
- Binary: 110010000011100110100100100000100110100000002
- Hexadecimal: 0xC839A482680
- Base-36: 4VKYSUKCG
Squares and roots of 13759368668800
- 13759368668800 squared (137593686688002) is 189320226163955084093440000
- 13759368668800 cubed (137593686688003) is 2604926788250453595965747587612672000000
-
The
square root of 13759368668800 is 3709362.2994795211 -
The
cube root of 13759368668800 is 23962.5391682679
Scales and comparisons
How big is 13759368668800?- 13,759,368,668,800 seconds is equal to 437,505 years, 18 weeks, 6 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,759,368,668,800 would take you about one million, ninety-three thousand, seven hundred sixty-three 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 13759368668800 cubic inches would be around 1996.9 feet tall.
Recreational maths with 13759368668800
- 13759368668800 backwards is 00886686395731
- The number of decimal digits it has is: 14
- The sum of 13759368668800's digits is 70
- More coming soon!
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