137006085216
137,006,085,216 is an even composite number composed of eight prime numbers multiplied together.
137006085216 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137006085216:
25 × 3 × 7 × 112 × 13 × 31 × 37 × 113
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 13 × 31 × 37 × 113)See below for interesting mathematical facts about the number 137006085216 from the Numbermatics database.
Names of 137006085216
- Cardinal: 137006085216 can be written as One hundred thirty-seven billion, six million, eighty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.37006085216 × 1011
Factors of 137006085216
Divisors of 137006085216
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 31 32 33 37 39 42 44 48 52 56 62 66 74 77 78 84 88 91 93 96 104 111 112 113 121 124 132 143 148 154 156 168 176 182 186 208 217 222 224 226 231 242 248 259 264 273 286 296 308 312 336 339 341 352 363 364 372 403 407 416 429 434 444 452 462 481 484 496 518 528 546 572 592 616 624 651 672 678 682 726 728 744 777 791 806 814 847 858 868 888 904 924 962 968 992 1001 1023 1036 1056 1092 1144 1147 1184 1209 1221 1232 1243 1248 1302 1356 1364 1443 1452 1456 1469 1488 1554 1573 1582 1612 1628 1694 1716 1736 1776 1808 1848 1924 1936 2002 2046 2072 2184 2288 2294 2373 2387 2418 2442 2464 2486 2541 2604 2712 2728 2821 2849 2886 2904 2912 2938 2976 3003 3108 3146 3164 3224 3256 3367 3388 3432 3441 3472 3503 3552 3616 3696 3729 3751 3848 3872 4004 4092 4144 4181 4368 4407 4433 4477 4576 4588 4719 4746 4774 4836 4884 4972 5082 5208 5291 5424 5456 5642 5698 5772 5808 5876 6006 6216 6292 6328 6448 6512 6734 6776 6864 6882 6944 7006 7161 7392 7458 7502 7696 8008 8029 8184 8288 8362 8463 8547 8701 8736 8814 8866 8954 9176 9438 9492 9548 9672 9768 9944 10101 10164 10283 10416 10509 10582 10848 10912 11011 11253 11284 11396 11544 11616 11752 12012 12432 12543 12584 12617 12656 12896 13024 13299 13431 13468 13552 13673 13728 13764 14012 14322 14911 14916 15004 15392 15873 16016 16058 16159 16368 16724 16926 17094 17402 17628 17732 17908 18352 18876 18984 19096 19344 19536 19888 20202 20328 20566 20832 21018 21164 22022 22506 22568 22792 23088 23504 24024 24087 24521 24864 25086 25168 25234 25312 26103 26257 26598 26862 26936 27104 27346 27528 28024 28644 29267 29822 29832 30008 30849 31031 31339 31746 32032 32116 32318 32736 33033 33448 33852 34188 34804 35256 35464 35816 36704 37037 37752 37851 37968 38192 38533 38688 39072 39776 40404 40656 41019 41132 42036 42328 44044 44733 45012 45136 45539 45584 45991 46176 47008 48048 48174 48477 48763 49042 50172 50336 50468 52206 52514 53196 53724 53872 54353 54692 55056 56048 57288 58201 58534 59644 59664 60016 61698 62062 62678 63492 64232 64636 66066 66896 67704 68376 69608 70512 70928 71632 73563 74074 75504 75702 75936 76384 77066 78771 80808 81312 82038 82264 84072 84656 87801 88088 88319 89466 90024 90272 91078 91168 91982 93093 94017 95711 96096 96348 96954 97526 98084 100344 100936 104377 104412 105028 106392 107448 107744 108706 109384 110112 111111 112096 113113 114576 115599 116402 117068 119288 119328 120032 123396 124124 125356 126984 128464 129272 129611 132132 133792 135408 136617 136752 137973 138787 139216 141024 141856 143264 146289 147126 148148 151008 151404 154132 157542 161616 163059 164021 164076 164528 168144 169312 174603 175602 176176 176638 177749 178932 180048 182156 183964 186186 188034 191422 192696 193908 195052 196168 200688 201872 208754 208824 210056 212784 214896 217412 218768 222222 226226 229152 231198 232804 234136 238576 246792 248248 250712 253968 256928 258544 259222 264264 264957 269731 270816 273234 273504 275946 277574 278432 287133 292578 294252 296296 302808 308264 313131 315084 318773 321937 323232 326118 328042 328152 329056 336288 339339 341341 349206 351204 352352 353276 355498 357864 360096 364312 367928 372372 376068 380471 382844 385392 387816 388833 390104 392336 401376 403744 407407 416361 417508 417648 420112 423863 425568 429792 434824 437536 444444 452452 462396 465608 468272 477152 492063 493584 496496 500929 501424 505901 507936 517088 518444 528528 529914 533247 539462 546468 551892 555148 574266 585156 588504 592592 597883 605616 616528 626262 630168 637546 643874 652236 656084 656304 678678 682682 698412 702408 706552 710996 715728 728624 735856 744744 752136 760942 765688 770784 775632 777666 780208 784672 809193 814814 832722 835016 835296 840224 847726 869648 888888 904904 907277 924792 931216 936544 956319 965811 971509 984126 987168 992992 1001858 1002848 1011802 1024023 1036888 1057056 1059828 1066494 1078924 1092936 1103784 1110296 1141413 1148147 1148532 1170312 1177008 1185184 1195766 1211232 1222221 1233056 1244243 1252524 1260336 1271589 1275092 1287748 1304472 1312168 1312608 1357356 1365364 1396824 1404816 1413104 1421992 1425721 1431456 1457248 1471712 1489488 1502787 1504272 1517703 1521884 1531376 1551264 1555332 1560416 1618386 1629628 1665444 1670032 1684943 1695452 1739296 1777776 1793649 1804231 1809808 1814554 1849584 1862432 1912638 1931622 1943018 1968252 2003716 2023604 2048046 2073776 2119656 2132988 2157848 2185872 2207568 2220592 2282826 2296294 2297064 2340624 2354016 2391532 2444442 2488486 2505048 2520672 2543178 2550184 2575496 2608944 2624336 2714712 2721831 2730728 2793648 2809632 2826208 2843984 2851442 2914527 2967041 2978976 3005574 3008544 3035406 3043768 3062752 3110664 3236772 3259256 3330888 3340064 3369886 3390904 3444441 3506503 3541307 3555552 3587298 3608462 3619616 3629108 3699168 3732729 3825276 3863244 3886036 3936504 4007432 4047208 4096092 4147552 4185181 4239312 4265976 4277163 4315696 4371744 4415136 4441184 4565652 4592588 4594128 4681248 4783064 4888884 4976972 5010096 5054829 5086356 5100368 5150992 5217888 5248672 5412693 5429424 5443662 5461456 5510219 5587296 5687968 5702884 5829054 5934082 6011148 6070812 6087536 6221328 6473544 6518512 6576713 6661776 6739772 6781808 6888882 7013006 7082614 7174596 7216924 7258216 7465458 7650552 7726488 7772072 7873008 8014864 8094416 8192184 8370362 8478624 8531952 8554326 8631392 8901123 9131304 9185176 9188256 9566128 9777768 9953944 9980047 10020192 10109658 10172712 10200736 10301984 10519509 10623921 10825386 10858848 10887324 10922912 11020438 11405768 11658108 11794601 11868164 12022296 12141624 12175072 12442656 12555543 12629617 12947088 13037024 13153426 13323552 13479544 13563616 13777764 14026012 14165228 14349192 14433848 14516432 14930916 15301104 15452976 15544144 15682931 15746016 16029728 16188832 16384368 16530657 16740724 17063904 17108652 17802246 18262608 18370352 18534373 19132256 19555536 19730139 19907888 19960094 20219316 20345424 21039018 21247842 21650772 21774648 22040876 22811536 23316216 23589202 23736328 24044592 24283248 25111086 25259234 25894176 26306852 26959088 27555528 28052024 28330456 28698384 28867696 29032864 29861832 29940141 30602208 30905952 31088288 31365862 32768736 33061314 33481448 34217304 35383803 35604492 36525216 36740704 37068746 37888851 38571533 39111072 39460278 39815776 39920188 40438632 40690848 42078036 42495684 43301544 43549296 44081752 45623072 46036991 46632432 47048793 47178404 47472656 48089184 48566496 50222172 50518468 52613704 53918176 55111056 55603119 56104048 56660912 57396768 57735392 59723664 59880282 62731724 66122628 66962896 68434608 70767606 71208984 74137492 75777702 77143066 78920556 79840376 80877264 84156072 84991368 86603088 87098592 88163504 92073982 93264864 94097586 94356808 94945312 100444344 101036936 105227408 109780517 110222112 111206238 112208096 113321824 115714599 119447328 119760564 125463448 129740611 132245256 133925792 136869216 138110973 141535212 142417968 148274984 151555404 154286132 157841112 159680752 161754528 168312144 169982736 173206176 176327008 184147964 188195172 188713616 200888688 202073872 203878103 210454816 219561034 222412476 231429198 239521128 250926896 259481222 264490512 276221946 283070424 284835936 296549968 303110808 308572264 315682224 319361504 329341551 336624288 339965472 368295928 376390344 377427232 389221833 401777376 404147744 407756206 439122068 444824952 462858396 479042256 501853792 518962444 528981024 552443892 566140848 593099936 606221616 611634309 617144528 631364448 658683102 736591856 752780688 778443666 815512412 878244136 889649904 925716792 958084512 1037924888 1104887784 1132281696 1212443232 1223268618 1234289056 1317366204 1427146721 1473183712 1505561376 1556887332 1631024824 1756488272 1779299808 1851433584 2075849776 2209775568 2446537236 2634732408 2854293442 3113774664 3262049648 3512976544 3702867168 4151699552 4281440163 4419551136 4893074472 5269464816 5708586884 6227549328 6524099296 8562880326 9786148944 10538929632 11417173768 12455098656 17125760652 19572297888 22834347536 34251521304 45668695072 68503042608 137006085216
- Sum of all divisors σ(n): 520365662208
- Sum of proper divisors (its aliquot sum) s(n): 383359576992
- 137006085216 is an abundant number, because the sum of its proper divisors (383359576992) is greater than itself. Its abundance is 246353491776
Bases of 137006085216
- Binary: 11111111001100011001011110100011000002
- Hexadecimal: 0x1FE632F460
- Base-36: 1QXTVVXC
Squares and roots of 137006085216
- 137006085216 squared (1370060852162) is 18770667386213853766656
- 137006085216 cubed (1370060852163) is 2571695655476807232754234515357696
-
The
square root of 137006085216 is 370143.3306382813 -
The
cube root of 137006085216 is 5155.2130606731
Scales and comparisons
How big is 137006085216?- 137,006,085,216 seconds is equal to 4,356 years, 19 weeks, 1 day, 13 hours, 53 minutes, 36 seconds.
-
To count from 1 to 137,006,085,216 would take you about eight thousand, seven hundred twelve 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 137006085216 cubic inches would be around 429.6 feet tall.
Recreational maths with 137006085216
- 137006085216 backwards is 612580600731
- 137006085216 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137006085216's digits is 39
- More coming soon!
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The information we have on file for 137006085216 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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