38134447801632
38,134,447,801,632 is an even composite number composed of seven prime numbers multiplied together.
What does the number 38134447801632 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
38134447801632 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 38134447801632:
25 × 34 × 72 × 132 × 31 × 223 × 257
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 31 × 223 × 257)See below for interesting mathematical facts about the number 38134447801632 from the Numbermatics database.
Names of 38134447801632
- Cardinal: 38134447801632 can be written as Thirty-eight trillion, one hundred thirty-four billion, four hundred forty-seven million, eight hundred one thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 3.8134447801632 × 1013
Factors of 38134447801632
Divisors of 38134447801632
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 31 32 36 39 42 48 49 52 54 56 62 63 72 78 81 84 91 93 96 98 104 108 112 117 124 126 144 147 156 162 168 169 182 186 189 196 208 216 217 223 224 234 248 252 257 273 279 288 294 312 324 336 338 351 364 372 378 392 403 416 432 434 441 446 468 496 504 507 514 546 558 567 588 624 637 648 651 669 672 676 702 728 744 756 771 784 806 819 837 864 868 882 892 936 992 1008 1014 1028 1053 1092 1116 1134 1176 1183 1209 1248 1274 1296 1302 1323 1338 1352 1404 1456 1488 1512 1519 1521 1542 1561 1568 1612 1638 1674 1736 1764 1784 1799 1872 1911 1953 2007 2016 2028 2056 2106 2184 2232 2268 2313 2352 2366 2418 2457 2511 2548 2592 2604 2646 2676 2704 2808 2821 2899 2912 2976 3024 3038 3042 3084 3122 3224 3276 3341 3348 3472 3528 3549 3568 3598 3627 3744 3822 3906 3969 4014 4056 4112 4212 4368 4464 4536 4557 4563 4626 4683 4704 4732 4836 4914 5022 5096 5208 5239 5292 5352 5397 5408 5616 5642 5733 5798 5859 6021 6048 6076 6084 6168 6244 6448 6552 6682 6696 6913 6939 6944 7056 7098 7136 7196 7254 7371 7644 7812 7938 7967 8028 8112 8224 8281 8424 8463 8697 8736 8928 9072 9114 9126 9252 9366 9464 9672 9828 10023 10044 10192 10416 10478 10584 10647 10704 10794 10881 10927 11232 11284 11466 11596 11718 12042 12152 12168 12336 12488 12593 12896 13104 13364 13392 13671 13689 13826 13878 14049 14112 14196 14392 14508 14742 15288 15624 15717 15876 15934 16056 16191 16224 16562 16848 16926 17199 17394 17577 18063 18144 18228 18252 18504 18732 18928 19344 19656 19747 20046 20088 20293 20384 20739 20817 20832 20956 21168 21294 21408 21588 21762 21854 22568 22932 23192 23387 23436 23901 24084 24304 24336 24672 24843 24976 25186 25389 26091 26208 26728 26784 27342 27378 27652 27756 28098 28392 28784 29016 29484 30069 30576 31248 31434 31752 31868 31941 32112 32382 32643 32781 33124 33696 33852 34398 34788 35154 36126 36456 36504 36673 37008 37464 37687 37779 37856 38688 39312 39494 40092 40176 40586 41013 41478 41634 41912 42147 42336 42588 43176 43433 43524 43708 45136 45864 46384 46774 46872 47151 47802 48168 48391 48573 48608 48672 49686 49952 50372 50778 51597 52182 53456 54684 54756 55304 55512 55769 56196 56784 57311 57568 58032 58968 59241 60138 60879 61152 62217 62496 62868 63504 63736 63882 64224 64764 65286 65562 66248 67704 68796 69576 70161 70308 71703 72252 72912 73008 73346 74016 74529 74928 75374 75558 76167 78273 78624 78988 80184 80352 81172 82026 82956 83268 83824 84294 85176 86352 86866 87048 87416 89869 90207 90272 91728 92768 93548 93744 94302 95604 95823 96336 96782 97146 98343 99372 100744 101556 103194 103571 104364 106912 109368 109512 110019 110608 111024 111538 112392 113061 113337 113568 114622 116064 117936 118482 120276 121758 123039 124434 125736 126441 127008 127472 127764 129528 130299 130572 131124 132496 135408 137592 139152 140322 140616 141453 142051 143406 144504 145173 145719 145824 146016 146692 149058 149856 150748 151116 152334 156546 157976 160368 162344 163709 164052 165912 166536 167307 167648 168588 170352 171933 172704 173732 174096 174832 177723 179738 180414 182637 183456 186651 187096 187488 188604 191208 191646 192672 193564 194292 196686 198744 201488 203112 206388 207142 208728 210483 215109 218736 219024 220038 221216 222048 223076 223587 224784 226122 226674 228501 229244 234819 235872 236964 240552 243516 246078 248868 251472 252882 254944 255528 256711 259056 260598 261144 262248 263809 264992 269607 270621 270816 275184 278304 280644 281232 282906 284102 286812 289008 290346 291438 293384 295029 298116 301496 302232 304031 304668 310713 313092 315952 320736 324688 327418 328104 330057 331824 333072 334614 337176 338737 339183 340011 340704 343866 347464 348192 349664 355446 359476 360828 365274 373302 374192 377208 382416 383292 387128 388584 390383 390897 393372 397488 401177 402976 406224 412776 414284 417456 420966 424359 426153 430218 435519 437472 438048 440076 446152 447174 449568 452244 453348 457002 458488 469638 473928 481104 487032 491127 492156 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113495380362 117698912968 122225794236 129709006128 132411277089 136682608608 139686621984 148383065376 151327173816 153767934684 162967725648 170243070543 171006492384 175734782496 176548369452 183338691354 194563509192 201769565088 205023912912 209529932976 225647620128 226990760724 235397825936 244451588472 259418012256 264822554178 302654347632 307535869368 325935451296 340486141086 353096738904 366677382708 389127018384 397233831267 410047825824 419059865952 453981521448 470795651872 488903176944 529645108356 605308695264 615071738736 680972282172 706193477808 733354765416 778254036768 794467662534 907963042896 977806353888 1059290216712 1191701493801 1230143477472 1361944564344 1412386955616 1466709530832 1588935325068 1815926085792 2118580433424 2383402987602 2723889128688 2933419061664 3177870650136 4237160866848 4766805975204 5447778257376 6355741300272 9533611950408 12711482600544 19067223900816 38134447801632
- Sum of all divisors σ(n): 147051536873472
- Sum of proper divisors (its aliquot sum) s(n): 108917089071840
- 38134447801632 is an abundant number, because the sum of its proper divisors (108917089071840) is greater than itself. Its abundance is 70782641270208
Bases of 38134447801632
- Binary: 10001010101110110111100011011100000101001000002
- Hexadecimal: 0x22AEDE370520
- Base-36: DIMQ1MA00
Squares and roots of 38134447801632
- 38134447801632 squared (381344478016322) is 1454236109135395677621863424
- 38134447801632 cubed (381344478016323) is 55456490995072162930725544627136148307968
-
The
square root of 38134447801632 is 6175309.5308358431 -
The
cube root of 38134447801632 is 33659.3574155499
Scales and comparisons
How big is 38134447801632?- 38,134,447,801,632 seconds is equal to 1,212,557 years, 25 weeks, 15 hours, 7 minutes, 12 seconds.
-
To count from 1 to 38,134,447,801,632 would take you about three million, thirty-one thousand, three hundred ninety-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 38134447801632 cubic inches would be around 2804.9 feet tall.
Recreational maths with 38134447801632
- 38134447801632 backwards is 23610874443183
- 38134447801632 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 38134447801632's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 38134447801632 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 38134447801632 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/38134447801632/
Chicago style:
Numbermatics. 2024. "Number 38134447801632 - Facts about the integer". https://numbermatics.com/n/38134447801632/
The information we have on file for 38134447801632 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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