138125928112128
138,125,928,112,128 is an even composite number composed of six prime numbers multiplied together.
What does the number 138125928112128 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
138125928112128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138125928112128:
213 × 33 × 112 × 19 × 612 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 19 × 61 × 61 × 73)See below for interesting mathematical facts about the number 138125928112128 from the Numbermatics database.
Names of 138125928112128
- Cardinal: 138125928112128 can be written as One hundred thirty-eight trillion, one hundred twenty-five billion, nine hundred twenty-eight million, one hundred twelve thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38125928112128 × 1014
Factors of 138125928112128
Divisors of 138125928112128
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 61 64 66 72 73 76 88 96 99 108 114 121 122 128 132 144 146 152 171 176 183 192 198 209 216 219 228 242 244 256 264 288 292 297 304 342 352 363 366 384 396 418 432 438 456 484 488 512 513 528 549 576 584 594 608 627 657 671 684 704 726 732 768 792 803 836 864 876 912 968 976 1024 1026 1056 1089 1098 1152 1159 1168 1188 1216 1254 1314 1342 1368 1387 1408 1452 1464 1536 1584 1606 1647 1672 1728 1752 1824 1881 1936 1952 1971 2013 2048 2052 2112 2178 2196 2299 2304 2318 2336 2376 2409 2432 2508 2628 2684 2736 2774 2816 2904 2928 3072 3168 3212 3267 3294 3344 3456 3477 3504 3648 3721 3762 3872 3904 3942 4026 4096 4104 4161 4224 4356 4392 4453 4598 4608 4636 4672 4752 4818 4864 5016 5256 5368 5472 5548 5632 5643 5808 5856 6039 6144 6336 6424 6534 6588 6688 6897 6912 6954 7008 7227 7296 7381 7442 7524 7744 7808 7884 8052 8192 8208 8322 8448 8712 8784 8833 8906 9196 9216 9272 9344 9504 9636 9728 10032 10431 10512 10736 10944 11096 11163 11264 11286 11616 11712 12078 12288 12483 12672 12749 12848 13068 13176 13359 13376 13794 13824 13908 14016 14454 14592 14762 14884 15048 15257 15488 15616 15768 16104 16416 16644 16896 17424 17568 17666 17812 18117 18392 18432 18544 18688 19008 19272 19456 20064 20691 20862 21024 21472 21681 21888 22143 22192 22326 22528 22572 23232 23424 24156 24576 24966 25344 25498 25696 26136 26352 26499 26718 26752 27588 27648 27816 28032 28908 29184 29524 29768 30096 30514 30976 31232 31293 31536 32208 32832 33288 33489 33792 34848 35136 35332 35624 36234 36784 36864 37088 37376 37449 38016 38247 38544 38912 40077 40128 40931 41382 41724 42048 42944 43362 43776 44286 44384 44652 45056 45144 45771 46464 46848 48312 48983 49932 50688 50996 51392 52272 52704 52998 53436 53504 55176 55296 55632 56064 57816 58368 59048 59536 60192 61028 61952 62073 62464 62586 63072 64416 65664 66429 66576 66978 67584 69696 70272 70664 70699 71248 72468 73568 73728 74176 74752 74898 76032 76494 77088 77824 79497 80154 80256 81862 82764 83448 84096 84607 85888 86724 87552 88572 88768 89304 90112 90288 91542 92928 93696 96624 97966 99864 100467 101376 101992 102784 104544 105408 105996 106872 107008 110352 110592 111264 112128 114741 115632 116736 118096 119072 120231 120384 122056 122793 123904 124146 124928 125172 126144 128832 131328 132858 133152 133956 135168 137313 139392 140239 140544 141328 141398 142496 144936 146949 147136 148352 149504 149796 152064 152988 154176 155648 158994 160308 160512 163724 165528 166896 167827 168192 169214 171776 173448 175104 177144 177536 178608 180576 183084 185856 187392 193248 195932 199287 199728 200934 202752 203984 205568 209088 210816 211992 212097 213744 214016 220704 221184 222528 224256 229482 231264 233472 236192 238144 238491 240462 240768 244112 245586 247808 248292 249856 250344 252288 253821 257664 262656 265716 266304 267912 270336 271633 274626 278784 280478 281088 282656 282796 284992 289872 293898 294272 296704 299008 299592 304128 305976 308352 317988 320616 321024 327448 331056 333792 335654 336384 338428 343552 344223 346896 350208 354288 355072 357216 361152 366168 368379 371712 374784 386496 391864 398574 399456 401868 405504 407968 411136 411939 418176 420717 421632 423984 424194 427488 428032 440847 441408 445056 448512 450241 458964 462528 466944 472384 476288 476982 480924 481536 488224 491172 495616 496584 499712 500688 503481 504576 507642 515328 525312 531432 532608 535824 538813 543266 549252 557568 560956 562176 565312 565592 569984 579744 587796 588544 593408 598016 599184 608256 611952 616704 635976 636291 641232 642048 654896 662112 667584 671308 672768 676856 687104 688446 693792 700416 708576 710144 714432 722304 732336 736758 743424 749568 761463 772992 777689 783728 797148 798912 803736 811008 814899 815936 822272 823878 836352 841434 843264 847968 848388 854976 856064 881694 882816 890112 897024 900482 917928 925056 930677 944768 952576 953964 961848 963072 976448 982344 991232 993168 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2557887557632 2877623502336 3139225638912 3634892845056 3836831336448 4185634185216 4316435253504 5115775115264 5755247004672 6278451277824 7269785690112 7673662672896 8632870507008 11510494009344 12556902555648 15347325345792 17265741014016 23020988018688 34531482028032 46041976037376 69062964056064 138125928112128
- Sum of all divisors σ(n): 487981233230400
- Sum of proper divisors (its aliquot sum) s(n): 349855305118272
- 138125928112128 is an abundant number, because the sum of its proper divisors (349855305118272) is greater than itself. Its abundance is 211729377006144
Bases of 138125928112128
- Binary: 111110110011111111100101110000100100000000000002
- Hexadecimal: 0x7D9FF2E12000
- Base-36: 1CYM6BAIO0
Squares and roots of 138125928112128
- 138125928112128 squared (1381259281121282) is 19078772016836752122140688384
- 138125928112128 cubed (1381259281121283) is 2635273092065272560080523271550211459121152
-
The
square root of 138125928112128 is 11752698.7586736007 -
The
cube root of 138125928112128 is 51692.2063997891
Scales and comparisons
How big is 138125928112128?- 138,125,928,112,128 seconds is equal to 4,391,977 years, 13 weeks, 4 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,125,928,112,128 would take you about ten million, nine hundred seventy-nine thousand, nine hundred forty-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 138125928112128 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138125928112128
- 138125928112128 backwards is 821211829521831
- 138125928112128 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138125928112128's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138125928112128 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 138125928112128 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138125928112128/
Chicago style:
Numbermatics. 2024. "Number 138125928112128 - Facts about the integer". https://numbermatics.com/n/138125928112128/
The information we have on file for 138125928112128 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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