34642934144
34,642,934,144 is an even composite number composed of five prime numbers multiplied together.
34642934144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 34642934144:
27 × 74 × 132 × 23 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 13 × 13 × 23 × 29)See below for interesting mathematical facts about the number 34642934144 from the Numbermatics database.
Names of 34642934144
- Cardinal: 34642934144 can be written as Thirty-four billion, six hundred forty-two million, nine hundred thirty-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 3.4642934144 × 1010
Factors of 34642934144
Divisors of 34642934144
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 7 8 13 14 16 23 26 28 29 32 46 49 52 56 58 64 91 92 98 104 112 116 128 161 169 182 184 196 203 208 224 232 299 322 338 343 364 368 377 392 406 416 448 464 598 637 644 667 676 686 728 736 754 784 812 832 896 928 1127 1183 1196 1274 1288 1334 1352 1372 1421 1456 1472 1508 1568 1624 1664 1856 2093 2254 2366 2392 2401 2548 2576 2639 2668 2704 2744 2842 2912 2944 3016 3136 3248 3712 3887 4186 4459 4508 4669 4732 4784 4802 4901 5096 5152 5278 5336 5408 5488 5684 5824 6032 6272 6496 7774 7889 8281 8372 8671 8918 9016 9338 9464 9568 9604 9802 9947 10192 10304 10556 10672 10816 10976 11368 11648 12064 12992 14651 15548 15778 16562 16744 17342 17836 18032 18473 18676 18928 19136 19208 19604 19894 20384 20608 21112 21344 21632 21952 22736 24128 25984 27209 29302 31096 31213 31556 32683 33124 33488 34307 34684 35672 36064 36946 37352 37856 38272 38416 39208 39788 40768 42224 42688 43904 45472 48256 54418 55223 57967 58604 60697 62192 62426 63112 65366 66248 66976 68614 69368 69629 71344 72128 73892 74704 75712 76832 78416 79576 81536 84448 85376 90944 102557 108836 110446 112723 115934 117208 121394 124384 124852 126224 129311 130732 132496 133952 137228 138736 139258 142688 144256 147784 149408 151424 153664 156832 159152 168896 181888 190463 205114 217672 220892 225446 228781 231868 234416 240149 242788 248768 249704 252448 258622 261464 264992 267904 274456 277472 278516 285376 295568 298816 307328 313664 318304 337792 380926 405769 410228 424879 435344 441784 450892 457562 463736 468832 480298 485576 497536 499408 504896 517244 522928 529984 548912 554944 557032 570752 591136 597632 627328 636608 717899 761852 789061 811538 820456 849758 870688 883568 901784 905177 915124 927472 937664 960596 971152 998816 1009792 1034488 1045856 1059968 1097824 1109888 1114064 1182272 1273216 1333241 1435798 1523704 1578122 1601467 1623076 1640912 1681043 1699516 1741376 1767136 1803568 1810354 1830248 1854944 1875328 1921192 1942304 1997632 2068976 2091712 2195648 2228128 2364544 2666482 2871596 2974153 3047408 3156244 3202934 3246152 3281824 3362086 3399032 3482752 3534272 3607136 3620708 3660496 3709888 3842384 3884608 3995264 4137952 4183424 4391296 4456256 5332964 5523427 5743192 5948306 6094816 6312488 6405868 6492304 6563648 6724172 6798064 7068544 7214272 7241416 7320992 7419776 7684768 7769216 8275904 8912512 9332687 10665928 11046854 11486384 11767301 11896612 12189632 12624976 12811736 12984608 13127296 13448344 13596128 14428544 14482832 14641984 15369536 16551808 18665374 20819071 21331856 22093708 22972768 23534602 23793224 24379264 25249952 25623472 25969216 26896688 27192256 28965664 29283968 30739072 37330748 38663989 41638142 42663712 44187416 45945536 47069204 47586448 50499904 51246944 51938432 53793376 54384512 57931328 74661496 77327978 83276284 85327424 88374832 91891072 94138408 95172896 100999808 102493888 107586752 115862656 149322992 154655956 166552568 170654848 176749664 188276816 190345792 204987776 215173504 270647923 298645984 309311912 333105136 353499328 376553632 380691584 541295846 597291968 618623824 666210272 706998656 753107264 1082591692 1194583936 1237247648 1332420544 1506214528 2165183384 2474495296 2664841088 4330366768 4948990592 8660733536 17321467072 34642934144
- Sum of all divisors σ(n): 94110238800
- Sum of proper divisors (its aliquot sum) s(n): 59467304656
- 34642934144 is an abundant number, because the sum of its proper divisors (59467304656) is greater than itself. Its abundance is 24824370512
Bases of 34642934144
- Binary: 1000000100001110000100111001100000002
- Hexadecimal: 0x810E13980
- Base-36: FWXIB28
Squares and roots of 34642934144
- 34642934144 squared (346429341442) is 1200132886105521012736
- 34642934144 cubed (346429341443) is 41576124537402217079021433257984
-
The
square root of 34642934144 is 186126.1242921047 -
The
cube root of 34642934144 is 3259.9045897781
Scales and comparisons
How big is 34642934144?- 34,642,934,144 seconds is equal to 1,101 years, 27 weeks, 6 days, 21 hours, 15 minutes, 44 seconds.
-
To count from 1 to 34,642,934,144 would take you about two thousand, two hundred 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 34642934144 cubic inches would be around 271.7 feet tall.
Recreational maths with 34642934144
- 34642934144 backwards is 44143924643
- The number of decimal digits it has is: 11
- The sum of 34642934144's digits is 44
- More coming soon!
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