137028217632768
137,028,217,632,768 is an even composite number composed of six prime numbers multiplied together.
What does the number 137028217632768 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2592 divisors.
137028217632768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 137028217632768:
211 × 35 × 7 × 11 × 312 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 31 × 31 × 61 × 61)See below for interesting mathematical facts about the number 137028217632768 from the Numbermatics database.
Names of 137028217632768
- Cardinal: 137028217632768 can be written as One hundred thirty-seven trillion, twenty-eight billion, two hundred seventeen million, six hundred thirty-two thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37028217632768 × 1014
Factors of 137028217632768
Divisors of 137028217632768
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 32 33 36 42 44 48 54 56 61 62 63 64 66 72 77 81 84 88 93 96 99 108 112 122 124 126 128 132 144 154 162 168 176 183 186 189 192 198 216 217 224 231 243 244 248 252 256 264 279 288 297 308 324 336 341 352 366 372 378 384 396 427 432 434 448 462 486 488 496 504 512 528 549 558 567 576 594 616 648 651 671 672 682 693 704 732 744 756 768 792 837 854 864 868 891 896 924 961 972 976 992 1008 1023 1024 1056 1098 1116 1134 1152 1188 1232 1281 1296 1302 1342 1344 1364 1386 1408 1464 1488 1512 1536 1584 1647 1674 1701 1708 1728 1736 1782 1792 1848 1891 1922 1944 1952 1953 1984 2013 2016 2046 2048 2079 2112 2196 2232 2268 2304 2376 2387 2464 2511 2562 2592 2604 2673 2684 2688 2728 2772 2816 2883 2928 2976 3024 3069 3072 3168 3294 3348 3402 3416 3456 3472 3564 3584 3696 3721 3782 3843 3844 3888 3904 3906 3968 4026 4032 4092 4158 4224 4392 4464 4536 4608 4697 4752 4774 4928 4941 5022 5124 5184 5208 5346 5368 5376 5456 5544 5632 5673 5766 5856 5859 5952 6039 6048 6138 6144 6237 6336 6588 6696 6727 6804 6832 6912 6944 7128 7161 7168 7392 7442 7533 7564 7686 7688 7776 7808 7812 7936 8052 8064 8184 8316 8448 8649 8784 8928 9072 9207 9216 9394 9504 9548 9856 9882 10044 10248 10368 10416 10571 10692 10736 10752 10912 11088 11163 11264 11346 11529 11532 11712 11718 11904 12078 12096 12276 12474 12672 13176 13237 13392 13454 13608 13664 13824 13888 14091 14256 14322 14336 14784 14823 14884 15066 15128 15372 15376 15552 15616 15624 15872 16104 16128 16368 16632 16896 17019 17298 17568 17577 17856 18117 18144 18414 18432 18711 18788 19008 19096 19712 19764 20088 20181 20496 20736 20801 20832 21142 21384 21472 21483 21504 21824 22176 22326 22528 22692 23058 23064 23424 23436 23808 24156 24192 24552 24948 25344 25947 26047 26352 26474 26784 26908 27216 27328 27621 27648 27776 28182 28512 28644 29568 29646 29768 30132 30256 30744 30752 31104 31232 31248 31713 31744 32208 32256 32736 33264 33489 33792 34038 34587 34596 35136 35154 35712 36234 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57406040064 57671808768 59474052792 60418085376 61392570624 62399006208 64880784864 65910638592 66908309391 66973713408 67970346048 68071643136 69066641952 70162937856 70198881984 70487766272 71294598144 72463362048 74149468416 76466639304 76895745024 78933305088 79298737056 80227293696 80557447168 81856760832 83198674944 86507713152 89211079188 90627128064 92088855936 93598509312 97321177296 98865957888 100460570112 101955519072 102107464704 105244406784 105731649408 106969724928 111224202624 115343617536 118948105584 120836170752 122785141248 124798012416 129761569728 133816618782 133947426816 135940692096 138133283904 140397763968 140975532544 142589196288 148298936832 152933278608 153791490048 157866610176 158597474112 160454587392 163713521664 173015426304 178422158376 181254256128 184177711872 187197018624 194642354592 197731915776 200921140224 203911038144 204214929408 210488813568 211463298816 222448405248 230687235072 237896211168 241672341504 245570282496 249596024832 259523139456 267633237564 271881384192 276266567808 280795527936 281951065088 296597873664 305866557216 315733220352 317194948224 320909174784 346030852608 356844316752 362508512256 368355423744 374394037248 389284709184 401842280448 407822076288 422926597632 444896810496 461374470144 475792422336 491140564992 519046278912 535266475128 543762768384 552533135616 561591055872 563902130176 593195747328 611733114432 631466440704 634389896448 692061705216 713688633504 725017024512 736710847488 748788074496 778569418368 815644152576 845853195264 889793620992 951584844672 1038092557824 1070532950256 1087525536768 1105066271232 1123182111744 1223466228864 1268779792896 1384123410432 1427377267008 1473421694976 1557138836736 1631288305152 1691706390528 1779587241984 1903169689344 2076185115648 2141065900512 2175051073536 2210132542464 2246364223488 2446932457728 2537559585792 2854754534016 3114277673472 3262576610304 3806339378688 4152370231296 4282131801024 4420265084928 4893864915456 5075119171584 5709509068032 6228555346944 6525153220608 7612678757376 8564263602048 9787729830912 11419018136064 12457110693888 15225357514752 17128527204096 19575459661824 22838036272128 34257054408192 45676072544256 68514108816384 137028217632768
- Sum of all divisors σ(n): 537541640737920
- Sum of proper divisors (its aliquot sum) s(n): 400513423105152
- 137028217632768 is an abundant number, because the sum of its proper divisors (400513423105152) is greater than itself. Its abundance is 263485205472384
Bases of 137028217632768
- Binary: 111110010100000010111100011110001111000000000002
- Hexadecimal: 0x7CA05E3C7800
- Base-36: 1CKLW6TC00
Squares and roots of 137028217632768
- 137028217632768 squared (1370282176327682) is 18776732427613231029707341824
- 137028217632768 cubed (1370282176327683) is 2572942177523238038365840054158103079288832
-
The
square root of 137028217632768 is 11705905.2461895487 -
The
cube root of 137028217632768 is 51554.9064245705
Scales and comparisons
How big is 137028217632768?- 137,028,217,632,768 seconds is equal to 4,357,073 years, 24 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,028,217,632,768 would take you about ten million, eight hundred ninety-two thousand, six hundred eighty-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 137028217632768 cubic inches would be around 4296.2 feet tall.
Recreational maths with 137028217632768
- 137028217632768 backwards is 867236712820731
- 137028217632768 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137028217632768's digits is 63
- More coming soon!
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MLA style:
"Number 137028217632768 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 137028217632768 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/137028217632768/
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The information we have on file for 137028217632768 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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