13380408906624
13,380,408,906,624 is an even composite number composed of six prime numbers multiplied together.
What does the number 13380408906624 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
13380408906624 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 13380408906624:
27 × 32 × 37 × 53 × 1093 × 5419
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 37 × 53 × 1093 × 5419)See below for interesting mathematical facts about the number 13380408906624 from the Numbermatics database.
Names of 13380408906624
- Cardinal: 13380408906624 can be written as Thirteen trillion, three hundred eighty billion, four hundred eight million, nine hundred six thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.3380408906624 × 1013
Factors of 13380408906624
Divisors of 13380408906624
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 53 64 72 74 96 106 111 128 144 148 159 192 212 222 288 296 318 333 384 424 444 477 576 592 636 666 848 888 954 1093 1152 1184 1272 1332 1696 1776 1908 1961 2186 2368 2544 2664 3279 3392 3552 3816 3922 4372 4736 5088 5328 5419 5883 6558 6784 7104 7632 7844 8744 9837 10176 10656 10838 11766 13116 14208 15264 15688 16257 17488 17649 19674 20352 21312 21676 23532 26232 30528 31376 32514 34976 35298 39348 40441 42624 43352 47064 48771 52464 57929 61056 62752 65028 69952 70596 78696 80882 86704 94128 97542 104928 115858 121323 125504 130056 139904 141192 157392 161764 173408 173787 188256 195084 200503 209856 231716 242646 251008 260112 282384 287207 314784 323528 346816 347574 363969 376512 390168 401006 419712 463432 485292 520224 521361 564768 574414 601509 629568 647056 693632 695148 727938 753024 780336 802012 861621 926864 970584 1040448 1042722 1129536 1148828 1203018 1259136 1294112 1390296 1455876 1560672 1604024 1723242 1804527 1853728 1941168 2080896 2085444 2143373 2259072 2297656 2406036 2584863 2588224 2780592 2911752 3121344 3208048 3446484 3609054 3707456 3882336 4170888 4286746 4595312 4812072 5169726 5176448 5561184 5823504 5922967 6242688 6416096 6430119 6892968 7218108 7414912 7764672 8341776 8573492 9190624 9624144 10339452 10626659 11122368 11647008 11845934 12832192 12860238 13785936 14436216 15529344 16683552 17146984 17768901 18381248 19248288 19290357 20678904 21253318 22244736 23294016 23691868 25664384 25720476 27571872 28872432 31879977 33367104 34293968 35537802 36762496 38496576 38580714 41357808 42506636 46588032 47383736 51440952 53306703 55143744 57744864 63759954 66734208 68587936 71075604 76993152 77161428 82715616 85013272 94767472 95639931 102881904 106613406 110287488 115489728 127519908 137175872 142151208 154322856 165431232 170026544 189534944 191279862 205763808 213226812 219149779 230979456 255039816 274351744 284302416 308645712 313917251 330862464 340053088 379069888 382559724 411527616 426453624 438299558 510079632 568604832 617291424 627834502 657449337 680106176 758139776 765119448 823055232 852907248 876599116 941751753 1020159264 1137209664 1234582848 1255669004 1314898674 1360212352 1530238896 1705814496 1753198232 1883503506 1972348011 2040318528 2274419328 2469165696 2511338008 2629797348 2825255259 3060477792 3411628992 3506396464 3767007012 3944696022 4080637056 5022676016 5259594696 5650510518 6120955584 6823257984 7012792928 7534014024 7889392044 10045352032 10519189392 11301021036 11614938287 12241911168 14025585856 15068028048 15778784088 20090704064 21038378784 22602042072 23229876574 28051171712 30136056096 31557568176 34844814861 40181408128 42076757568 45204084144 46459753148 60272112192 63115136352 69689629722 84153515136 90408168288 92919506296 104534444583 120544224384 126230272704 139379259444 180816336576 185839012592 209068889166 252460545408 278758518888 361632673152 371678025184 418137778332 557517037776 743356050368 836275556664 1115034075552 1486712100736 1672551113328 2230068151104 3345102226656 4460136302208 6690204453312 13380408906624
- Sum of all divisors σ(n): 40334576162400
- Sum of proper divisors (its aliquot sum) s(n): 26954167255776
- 13380408906624 is an abundant number, because the sum of its proper divisors (26954167255776) is greater than itself. Its abundance is 13573758349152
Bases of 13380408906624
- Binary: 110000101011010111101000010100010011100000002
- Hexadecimal: 0xC2B5E851380
- Base-36: 4QQVHZOG0
Squares and roots of 13380408906624
- 13380408906624 squared (133804089066242) is 179035342508462867151077376
- 13380408906624 cubed (133804089066243) is 2395566091500714981723851398427782938624
-
The
square root of 13380408906624 is 3657924.1253235421 -
The
cube root of 13380408906624 is 23740.4963825059
Scales and comparisons
How big is 13380408906624?- 13,380,408,906,624 seconds is equal to 425,455 years, 31 weeks, 6 days, 19 hours, 50 minutes, 24 seconds.
-
To count from 1 to 13,380,408,906,624 would take you about one million, sixty-three thousand, six hundred thirty-nine 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 13380408906624 cubic inches would be around 1978.4 feet tall.
Recreational maths with 13380408906624
- 13380408906624 backwards is 42660980408331
- The number of decimal digits it has is: 14
- The sum of 13380408906624's digits is 54
- More coming soon!
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