13138017984
13,138,017,984 is an even composite number composed of six prime numbers multiplied together.
13138017984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 13138017984:
26 × 32 × 72 × 13 × 61 × 587
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 61 × 587)See below for interesting mathematical facts about the number 13138017984 from the Numbermatics database.
Names of 13138017984
- Cardinal: 13138017984 can be written as Thirteen billion, one hundred thirty-eight million, seventeen thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.3138017984 × 1010
Factors of 13138017984
Divisors of 13138017984
- Number of divisors d(n): 504
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 61 63 64 72 78 84 91 96 98 104 112 117 122 126 144 147 156 168 182 183 192 196 208 224 234 244 252 273 288 294 312 336 364 366 392 416 427 441 448 468 488 504 546 549 576 587 588 624 637 672 728 732 784 793 819 832 854 882 936 976 1008 1092 1098 1174 1176 1248 1274 1281 1344 1456 1464 1568 1586 1638 1708 1761 1764 1872 1911 1952 2016 2184 2196 2348 2352 2379 2496 2548 2562 2912 2928 2989 3136 3172 3276 3416 3522 3528 3744 3822 3843 3904 4032 4109 4368 4392 4696 4704 4758 5096 5124 5283 5551 5733 5824 5856 5978 6344 6552 6832 7044 7056 7137 7488 7631 7644 7686 8218 8736 8784 8967 9392 9408 9516 10192 10248 10566 11102 11466 11712 11956 12327 12688 13104 13664 14088 14112 14274 15262 15288 15372 16436 16653 17472 17568 17934 18784 19032 20384 20496 21132 22204 22893 22932 23912 24654 25376 26208 26901 27328 28176 28224 28548 28763 30524 30576 30744 32872 33306 35136 35807 35868 36981 37568 38064 38857 40768 40992 42264 44408 45786 45864 47824 49308 49959 50752 52416 53417 53802 56352 57096 57526 61048 61152 61488 65744 66612 68679 71614 71736 73962 76128 77714 81984 84528 86289 88816 91572 91728 95648 98616 99918 106834 107421 107604 112704 114192 115052 116571 122096 122304 122976 131488 133224 137358 143228 143472 147924 152256 155428 160251 169056 172578 177632 183144 183456 191296 197232 199836 213668 214842 215208 228384 230104 233142 244192 245952 250649 258867 262976 266448 274716 286456 286944 295848 310856 320502 322263 338112 345156 349713 355264 366288 366912 373919 394464 399672 427336 429684 430416 456768 460208 465491 466284 480753 488384 501298 517734 532896 549432 572912 573888 591696 621712 641004 644526 690312 699426 732576 747838 751947 788928 799344 854672 859368 860832 920416 930982 932568 961506 1002596 1035468 1065792 1098864 1121757 1145824 1183392 1243424 1282008 1289052 1380624 1396473 1398852 1465152 1495676 1503894 1598688 1709344 1718736 1721664 1754543 1840832 1861964 1865136 1923012 2005192 2070936 2197728 2243514 2255841 2291648 2366784 2486848 2564016 2578104 2761248 2792946 2797704 2991352 3007788 3197376 3258437 3365271 3418688 3437472 3509086 3723928 3730272 3846024 4010384 4141872 4189419 4395456 4487028 4511682 5128032 5156208 5263629 5522496 5585892 5595408 5982704 6015576 6516874 6730542 6874944 7018172 7447856 7460544 7692048 8020768 8283744 8378838 8974056 9023364 9775311 10256064 10312416 10527258 11171784 11190816 11965408 12031152 13033748 13461084 14036344 14895712 15384096 15790887 16041536 16567488 16757676 17948112 18046728 19550622 20624832 21054516 22343568 22381632 22809059 23930816 24062304 26067496 26922168 28072688 29325933 29791424 30768192 31581774 33515352 35896224 36093456 39101244 42109032 44687136 45618118 48124608 52134992 53844336 56145376 58651866 63163548 67030704 68427177 71792448 72186912 78202488 84218064 89374272 91236236 104269984 107688672 112290752 117303732 126327096 134061408 136854354 144373824 156404976 168436128 182472472 205281531 208539968 215377344 234607464 252654192 268122816 273708708 312809952 336872256 364944944 410563062 469214928 505308384 547417416 625619904 729889888 821126124 938429856 1010616768 1094834832 1459779776 1642252248 1876859712 2189669664 3284504496 4379339328 6569008992 13138017984
- Sum of all divisors σ(n): 48030707088
- Sum of proper divisors (its aliquot sum) s(n): 34892689104
- 13138017984 is an abundant number, because the sum of its proper divisors (34892689104) is greater than itself. Its abundance is 21754671120
Bases of 13138017984
- Binary: 11000011110001011000111110110000002
- Hexadecimal: 0x30F163EC0
- Base-36: 61A1BK0
Squares and roots of 13138017984
- 13138017984 squared (131380179842) is 172607516547907424256
- 13138017984 cubed (131380179843) is 2267720656579985337442445819904
-
The
square root of 13138017984 is 114621.1934329773 -
The
cube root of 13138017984 is 2359.6266037611
Scales and comparisons
How big is 13138017984?- 13,138,017,984 seconds is equal to 417 years, 38 weeks, 6 days, 9 hours, 26 minutes, 24 seconds.
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To count from 1 to 13,138,017,984 would take you about eight hundred thirty-five 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 13138017984 cubic inches would be around 196.6 feet tall.
Recreational maths with 13138017984
- 13138017984 backwards is 48971083131
- The number of decimal digits it has is: 11
- The sum of 13138017984's digits is 45
- More coming soon!
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