138413437344
138,413,437,344 is an even composite number composed of seven prime numbers multiplied together.
138413437344 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138413437344:
25 × 32 × 7 × 13 × 37 × 47 × 3037
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 37 × 47 × 3037)See below for interesting mathematical facts about the number 138413437344 from the Numbermatics database.
Names of 138413437344
- Cardinal: 138413437344 can be written as One hundred thirty-eight billion, four hundred thirteen million, four hundred thirty-seven thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38413437344 × 1011
Factors of 138413437344
Divisors of 138413437344
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 37 39 42 47 48 52 56 63 72 74 78 84 91 94 96 104 111 112 117 126 141 144 148 156 168 182 188 208 222 224 234 252 259 273 282 288 296 312 329 333 336 364 376 416 423 444 468 481 504 518 546 564 592 611 624 658 666 672 728 752 777 819 846 888 936 962 987 1008 1036 1092 1128 1184 1222 1248 1316 1332 1443 1456 1504 1554 1638 1692 1739 1776 1833 1872 1924 1974 2016 2072 2184 2256 2331 2444 2632 2664 2886 2912 2961 3037 3108 3276 3367 3384 3478 3552 3666 3744 3848 3948 4144 4277 4329 4368 4512 4662 4888 5217 5264 5328 5499 5772 5922 6074 6216 6552 6734 6768 6956 7332 7696 7896 8288 8554 8658 8736 9111 9324 9776 10101 10434 10528 10656 10998 11544 11844 12148 12173 12432 12831 13104 13468 13536 13912 14664 15392 15651 15792 17108 17316 18222 18648 19552 20202 20868 21259 21996 22607 23088 23688 24296 24346 24864 25662 26208 26936 27333 27824 29328 30303 31302 31584 34216 34632 36444 36519 37296 38493 39481 40404 41736 42518 43992 45214 46176 47376 48592 48692 51324 53872 54666 55648 58656 60606 62604 63777 67821 68432 69264 72888 73038 74592 76986 78962 80808 83472 85036 87984 90428 94752 97184 97384 102648 107744 109332 109557 112369 118443 121212 125208 127554 135642 136864 138528 142739 145776 146076 153972 157924 158249 161616 166944 170072 175968 180856 191331 194768 203463 205296 218664 219114 224738 236886 242424 250416 255108 271284 276367 285478 291552 292152 307944 315848 316498 323232 337107 340144 355329 361712 382662 389536 406926 410592 428217 437328 438228 449476 473772 474747 484848 500832 510216 542568 552734 570956 584304 615888 631696 632996 674214 680288 710658 723424 765324 786583 813852 829101 856434 874656 876456 898952 947544 949494 969696 999173 1011321 1020432 1085136 1105468 1141912 1168608 1231776 1263392 1265992 1284651 1348428 1421316 1424241 1460797 1530648 1573166 1627704 1658202 1712868 1752912 1797904 1855607 1895088 1898988 1998346 2022642 2040864 2170272 2210936 2283824 2359749 2487303 2531984 2569302 2696856 2842632 2848482 2921594 2997519 3061296 3146332 3255408 3316404 3425736 3505824 3595808 3711214 3790176 3797976 3996692 4045284 4382391 4421872 4567648 4719498 4974606 5063968 5138604 5281343 5393712 5566821 5685264 5696964 5843188 5995038 6122592 6292664 6510816 6632808 6851472 7079247 7422428 7595952 7993384 8090568 8764782 8843744 8992557 9438996 9949212 10225579 10277208 10562686 10787424 11133642 11370528 11393928 11686376 11990076 12585328 12989249 13147173 13265616 13702944 14158494 14844856 15191904 15844029 15986768 16181136 16700463 17529564 17985114 18877992 19898424 20451158 20554416 21125372 22267284 22787856 23372752 23980152 25170656 25978498 26294346 26531232 28316988 29689712 30676737 31688058 31973536 32362272 33400926 35059128 35970228 36969401 37755984 38967747 39796848 40902316 41108832 42250744 44534568 45575712 46745504 47532087 47960304 51956996 52588692 56633976 59379424 61353474 63376116 66801852 68657459 70118256 71940456 73938802 75511968 77935494 79593696 81804632 84501488 89069136 92030211 95064174 95920608 103913992 105177384 110908203 113267952 116903241 122706948 126752232 133603704 137314918 140236512 143880912 147877604 155870988 163609264 169002976 178138272 184060422 190128348 205972377 207827984 210354768 221816406 226535904 233806482 245413896 253504464 267207408 274629836 287761824 295755208 311741976 327218528 332724609 368120844 380256696 411944754 415655968 420709536 443632812 467612964 480602213 490827792 507008928 534414816 549259672 591510416 617917131 623483952 665449218 736241688 760513392 823889508 887265624 935225928 961204426 981655584 1098519344 1183020832 1235834262 1246967904 1330898436 1441806639 1472483376 1521026784 1647779016 1774531248 1870451856 1922408852 2197038688 2471668524 2661796872 2883613278 2944966752 3295558032 3549062496 3740903712 3844817704 4325419917 4943337048 5323593744 5767226556 6591116064 7689635408 8650839834 9886674096 10647187488 11534453112 15379270816 17301679668 19773348192 23068906224 34603359336 46137812448 69206718672 138413437344
- Sum of all divisors σ(n): 508293467136
- Sum of proper divisors (its aliquot sum) s(n): 369880029792
- 138413437344 is an abundant number, because the sum of its proper divisors (369880029792) is greater than itself. Its abundance is 231466592448
Bases of 138413437344
- Binary: 100000001110100001010101110001101000002
- Hexadecimal: 0x203A1571A0
- Base-36: 1RL3SBS0
Squares and roots of 138413437344
- 138413437344 squared (1384134373442) is 19158279637381413774336
- 138413437344 cubed (1384134373443) is 2651763338207523355684194491203584
-
The
square root of 138413437344 is 372039.5642186459 -
The
cube root of 138413437344 is 5172.8047333543
Scales and comparisons
How big is 138413437344?- 138,413,437,344 seconds is equal to 4,401 years, 6 weeks, 1 day, 9 hours, 2 minutes, 24 seconds.
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To count from 1 to 138,413,437,344 would take you about eight thousand, eight hundred two 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 138413437344 cubic inches would be around 431.1 feet tall.
Recreational maths with 138413437344
- 138413437344 backwards is 443734314831
- The number of decimal digits it has is: 12
- The sum of 138413437344's digits is 45
- More coming soon!
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