137086144416
137,086,144,416 is an even composite number composed of six prime numbers multiplied together.
137086144416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 137086144416:
25 × 35 × 13 × 17 × 241 × 331
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 17 × 241 × 331)See below for interesting mathematical facts about the number 137086144416 from the Numbermatics database.
Names of 137086144416
- Cardinal: 137086144416 can be written as One hundred thirty-seven billion, eighty-six million, one hundred forty-four thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.37086144416 × 1011
Factors of 137086144416
Divisors of 137086144416
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 68 72 78 81 96 102 104 108 117 136 144 153 156 162 204 208 216 221 234 241 243 272 288 306 312 324 331 351 408 416 432 442 459 468 482 486 544 612 624 648 662 663 702 723 816 864 884 918 936 964 972 993 1053 1224 1248 1296 1324 1326 1377 1404 1446 1632 1768 1836 1872 1928 1944 1986 1989 2106 2169 2448 2592 2648 2652 2754 2808 2892 2979 3133 3159 3536 3672 3744 3856 3888 3972 3978 4097 4131 4212 4303 4338 4896 5296 5304 5508 5616 5627 5784 5958 5967 6266 6318 6507 7072 7344 7712 7776 7944 7956 8194 8262 8424 8606 8676 8937 9399 10592 10608 11016 11232 11254 11568 11916 11934 12291 12532 12636 12909 13014 14688 15888 15912 16388 16524 16848 16881 17212 17352 17874 17901 18798 19521 21216 22032 22508 23136 23832 23868 24582 25064 25272 25818 26028 26811 28197 31776 31824 32776 33048 33696 33762 34424 34704 35748 35802 36873 37596 38727 39042 44064 45016 47664 47736 49164 50128 50544 50643 51636 52056 53261 53622 53703 56394 58563 63648 65552 66096 67524 68848 69408 71496 71604 73151 73746 75192 77454 78084 79771 80433 84591 90032 95328 95472 98328 100256 101088 101286 103272 104112 106522 107244 107406 110619 112788 116181 117126 131104 132192 135048 137696 142992 143208 146302 147492 150384 151929 154908 156168 159542 159783 160866 169182 180064 190944 196656 202572 206544 208224 213044 214488 214812 219453 221238 225576 232362 234252 239313 253773 270096 285984 286416 292604 294984 300768 303858 309816 312336 319084 319566 321732 331857 338364 348543 393312 405144 413088 426088 428976 429624 438906 442476 451152 455787 464724 468504 478626 479349 507546 540192 572832 585208 589968 607716 619632 624672 638168 639132 643464 658359 663714 676728 697086 717939 761319 810288 852176 857952 859248 877812 884952 902304 911574 929448 937008 957252 958698 995571 1015092 1037023 1045629 1170416 1179936 1215432 1239264 1276336 1278264 1286928 1316718 1327428 1353456 1356107 1367361 1394172 1435878 1438047 1522638 1620576 1704352 1718496 1755624 1769904 1823148 1858896 1874016 1914504 1917396 1975077 1991142 2030184 2074046 2091258 2153817 2340832 2430864 2552672 2556528 2573856 2633436 2654856 2706912 2712214 2734722 2788344 2871756 2876094 3045276 3111069 3511248 3539808 3646296 3717792 3829008 3834792 3950154 3982284 4060368 4068321 4148092 4182516 4307634 4314141 4861728 5113056 5266872 5309712 5424428 5469444 5576688 5743512 5752188 5925231 6090552 6222138 6461451 7022496 7292592 7658016 7669584 7900308 7964568 8120736 8136642 8296184 8365032 8615268 8628282 9333207 10533744 10619424 10848856 10938888 11153376 11487024 11504376 11850462 12181104 12204963 12444276 12922902 12942423 14585184 15339168 15800616 15929136 16273284 16592368 16730064 17230536 17256564 17629391 17775693 18666414 19384353 21067488 21697712 21877776 22974048 23008752 23700924 24362208 24409926 24888552 25845804 25884846 27999621 31601232 31858272 32546568 33184736 33460128 34461072 34513128 35258782 35551386 36614889 37332828 38768706 43395424 43755552 46017504 47401848 48819852 49777104 51691608 51769692 52888173 55999242 63202464 65093136 68922144 69026256 70517564 71102772 73229778 74665656 77537412 83998863 94803696 97639704 99554208 103383216 103539384 105776346 109844667 111998484 130186272 138052512 141035128 142205544 146459556 149331312 155074824 158664519 167997726 189607392 195279408 206766432 207078768 211552692 219689334 223996968 251996589 282070256 284411088 292919112 298662624 310149648 317329038 329534001 335995452 390558816 414157536 423105384 439378668 447993936 475993557 503993178 564140512 568822176 585838224 620299296 634658076 659068002 671990904 846210768 878757336 895987872 951987114 1007986356 1171676448 1269316152 1318136004 1343981808 1427980671 1692421536 1757514672 1903974228 2015972712 2538632304 2636272008 2687963616 2855961342 3515029344 3807948456 4031945424 4283942013 5077264608 5272544016 5711922684 7615896912 8063890848 8567884026 10545088032 11423845368 15231793824 17135768052 22847690736 34271536104 45695381472 68543072208 137086144416
- Sum of all divisors σ(n): 464297049216
- Sum of proper divisors (its aliquot sum) s(n): 327210904800
- 137086144416 is an abundant number, because the sum of its proper divisors (327210904800) is greater than itself. Its abundance is 190124760384
Bases of 137086144416
- Binary: 11111111010101111100010001111101000002
- Hexadecimal: 0x1FEAF88FA0
- Base-36: 1QZ5JU00
Squares and roots of 137086144416
- 137086144416 squared (1370861444162) is 18792610990844407981056
- 137086144416 cubed (1370861444163) is 2576206584244605366277065808183296
-
The
square root of 137086144416 is 370251.4610585621 -
The
cube root of 137086144416 is 5156.2170108937
Scales and comparisons
How big is 137086144416?- 137,086,144,416 seconds is equal to 4,358 years, 47 weeks, 4 days, 4 hours, 33 minutes, 36 seconds.
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To count from 1 to 137,086,144,416 would take you about eight thousand, seven hundred seventeen 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 137086144416 cubic inches would be around 429.7 feet tall.
Recreational maths with 137086144416
- 137086144416 backwards is 614441680731
- The number of decimal digits it has is: 12
- The sum of 137086144416's digits is 45
- More coming soon!
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