137982163968
137,982,163,968 is an even composite number composed of six prime numbers multiplied together.
137982163968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 137982163968:
210 × 32 × 11 × 53 × 61 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 53 × 61 × 421)See below for interesting mathematical facts about the number 137982163968 from the Numbermatics database.
Names of 137982163968
- Cardinal: 137982163968 can be written as One hundred thirty-seven billion, nine hundred eighty-two million, one hundred sixty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37982163968 × 1011
Factors of 137982163968
Divisors of 137982163968
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 61 64 66 72 88 96 99 106 122 128 132 144 159 176 183 192 198 212 244 256 264 288 318 352 366 384 396 421 424 477 488 512 528 549 576 583 636 671 704 732 768 792 842 848 954 976 1024 1056 1098 1152 1166 1263 1272 1342 1408 1464 1536 1584 1684 1696 1749 1908 1952 2013 2112 2196 2304 2332 2526 2544 2684 2816 2928 3072 3168 3233 3368 3392 3498 3789 3816 3904 4026 4224 4392 4608 4631 4664 5052 5088 5247 5368 5632 5856 6039 6336 6466 6736 6784 6996 7578 7632 7808 8052 8448 8784 9216 9262 9328 9699 10104 10176 10494 10736 11264 11712 12078 12672 12932 13472 13568 13893 13992 15156 15264 15616 16104 16896 17568 18524 18656 19398 20208 20352 20988 21472 22313 23424 24156 25344 25681 25864 26944 27136 27786 27984 29097 30312 30528 31232 32208 33792 35136 35563 37048 37312 38796 40416 40704 41679 41976 42944 44626 46848 48312 50688 51362 51728 53888 54272 55572 55968 58194 60624 61056 62464 64416 66939 70272 71126 74096 74624 77043 77592 80832 81408 83358 83952 85888 89252 93696 96624 101376 102724 103456 106689 107776 111144 111936 116388 121248 122112 128832 133878 140544 142252 148192 149248 154086 155184 161664 162816 166716 167904 171776 178504 187392 193248 200817 205448 206912 213378 215552 222288 223872 231129 232776 242496 244224 245443 257664 267756 281088 282491 284504 296384 298496 308172 310368 320067 323328 333432 335808 343552 357008 386496 401634 410896 413824 426756 431104 444576 447744 462258 465552 484992 488448 490886 515328 535512 562176 564982 569008 592768 596992 616344 620736 640134 646656 666864 671616 687104 714016 736329 772992 803268 821792 827648 847473 853512 889152 895488 924516 931104 969984 981772 1030656 1071024 1129964 1138016 1185536 1232688 1241472 1280268 1293312 1333728 1343232 1361093 1428032 1472658 1545984 1606536 1643584 1655296 1694946 1707024 1778304 1790976 1849032 1862208 1939968 1963544 2061312 2142048 2208987 2259928 2276032 2371072 2465376 2482944 2542419 2560536 2667456 2686464 2722186 2856064 2945316 3091968 3213072 3287168 3310592 3389892 3414048 3556608 3698064 3724416 3879936 3927088 4083279 4284096 4417974 4519856 4552064 4742144 4930752 4965888 5084838 5121072 5334912 5372928 5444372 5712128 5890632 6183936 6426144 6574336 6779784 6828096 7113216 7396128 7448832 7854176 8166558 8568192 8835948 9039712 9104128 9861504 9931776 10169676 10242144 10669824 10888744 11424256 11781264 12249837 12852288 13148672 13559568 13656192 14226432 14792256 14897664 14972023 15708352 16333116 17136384 17671896 18079424 18208256 19723008 20339352 20484288 21339648 21777488 22848512 23562528 24499674 25704576 26297344 27119136 27312384 29584512 29795328 29944046 31416704 32666232 34272768 35343792 36158848 36416512 39446016 40678704 40968576 42679296 43554976 44916069 47125056 48999348 51409152 54238272 54624768 59169024 59888092 62833408 65332464 68545536 70687584 72317696 78892032 81357408 81937152 87109952 89832138 94250112 97998696 102818304 108476544 109249536 118338048 119776184 125666816 130664928 134748207 141375168 144635392 162714816 163874304 174219904 179664276 188500224 195997392 205636608 216953088 236676096 239552368 251333632 261329856 269496414 282750336 289270784 325429632 327748608 348439808 359328552 377000448 391994784 433906176 479104736 522659712 538992828 565500672 650859264 696879616 718657104 754000896 783989568 867812352 958209472 1045319424 1077985656 1131001344 1301718528 1393759232 1437314208 1567979136 1916418944 2090638848 2155971312 2262002688 2603437056 2874628416 3135958272 3832837888 4181277696 4311942624 5749256832 6271916544 7665675776 8623885248 11498513664 12543833088 15331351552 17247770496 22997027328 34495540992 45994054656 68991081984 137982163968
- Sum of all divisors σ(n): 451170132192
- Sum of proper divisors (its aliquot sum) s(n): 313187968224
- 137982163968 is an abundant number, because the sum of its proper divisors (313187968224) is greater than itself. Its abundance is 175205804256
Bases of 137982163968
- Binary: 100000001000000110000010111100000000002
- Hexadecimal: 0x202060BC00
- Base-36: 1RDZ0N40
Squares and roots of 137982163968
- 137982163968 squared (1379821639682) is 19039077573292037505024
- 137982163968 cubed (1379821639683) is 2627053123517453456567027191775232
-
The
square root of 137982163968 is 371459.5051523113 -
The
cube root of 137982163968 is 5167.4266090577
Scales and comparisons
How big is 137982163968?- 137,982,163,968 seconds is equal to 4,387 years, 21 weeks, 18 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,982,163,968 would take you about eight thousand, seven hundred seventy-four 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 137982163968 cubic inches would be around 430.6 feet tall.
Recreational maths with 137982163968
- 137982163968 backwards is 869361289731
- The number of decimal digits it has is: 12
- The sum of 137982163968's digits is 63
- More coming soon!
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The information we have on file for 137982163968 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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