138725433008448
138,725,433,008,448 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138725433008448 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2016 divisors.
138725433008448 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138725433008448:
26 × 3 × 112 × 13 × 19 × 612 × 73 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 13 × 19 × 61 × 61 × 73 × 89)See below for interesting mathematical facts about the number 138725433008448 from the Numbermatics database.
Names of 138725433008448
- Cardinal: 138725433008448 can be written as One hundred thirty-eight trillion, seven hundred twenty-five billion, four hundred thirty-three million, eight thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.38725433008448 × 1014
Factors of 138725433008448
Divisors of 138725433008448
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 19 22 24 26 32 33 38 39 44 48 52 57 61 64 66 73 76 78 88 89 96 104 114 121 122 132 143 146 152 156 176 178 183 192 208 209 219 228 242 244 247 264 267 286 292 304 312 352 356 363 366 416 418 429 438 456 484 488 494 528 534 572 584 608 624 627 671 704 712 726 732 741 793 803 832 836 858 876 912 949 968 976 979 988 1056 1068 1144 1157 1159 1168 1216 1248 1254 1342 1387 1424 1452 1464 1482 1573 1586 1606 1672 1691 1716 1752 1824 1898 1936 1952 1958 1976 2013 2112 2136 2288 2299 2314 2318 2336 2379 2409 2496 2508 2684 2717 2774 2847 2848 2904 2928 2937 2964 3146 3172 3212 3344 3382 3432 3471 3477 3504 3648 3721 3796 3872 3904 3916 3952 4026 4161 4272 4453 4576 4598 4628 4636 4672 4719 4758 4818 5016 5073 5368 5429 5434 5548 5694 5696 5808 5856 5874 5928 6292 6344 6424 6497 6688 6764 6864 6897 6942 6954 7008 7381 7442 7592 7744 7832 7904 8052 8151 8322 8544 8723 8833 8906 9152 9196 9256 9272 9438 9516 9636 10032 10146 10439 10736 10769 10858 10868 11096 11163 11388 11616 11712 11748 11856 12584 12688 12727 12749 12848 12994 13359 13376 13528 13728 13794 13884 13908 14016 14762 14884 15067 15184 15257 15664 15808 16104 16287 16302 16644 17088 17446 17666 17812 18031 18392 18512 18544 18601 18876 19032 19272 19491 20064 20292 20878 21472 21538 21716 21736 21983 22143 22192 22326 22776 23232 23496 23712 25168 25376 25454 25498 25696 25988 26169 26499 26718 27056 27456 27588 27768 27816 29524 29768 29887 30134 30368 30514 31317 31328 32208 32307 32574 32604 33288 34892 35332 35624 36062 36784 37024 37088 37202 37752 38064 38181 38247 38544 38982 40128 40584 40931 41756 42944 43076 43432 43472 43966 44286 44384 44652 45201 45552 45771 46992 47424 48373 48983 50336 50752 50908 50996 51392 51976 52338 52998 53436 54093 54112 55176 55536 55632 55803 57889 59048 59536 59719 59774 60268 60736 61028 62634 62656 64416 64614 65148 65208 65949 66576 69784 70577 70664 70699 71248 71467 72124 73568 74048 74176 74404 75504 76128 76362 76494 77088 77964 81168 81862 83512 84461 84607 86152 86864 86944 87932 88572 88768 89304 89661 90402 91104 91542 93984 95953 96746 97966 100672 101816 101992 103151 103952 104676 105996 106872 108186 108224 110352 111072 111264 111606 114829 115778 118096 119072 119438 119548 120536 122056 122793 123443 125268 128832 129228 130296 130416 131898 133152 139568 139997 140239 141154 141328 141398 142496 142934 144248 145119 146949 147136 148808 151008 152256 152724 152988 154176 155928 162336 163724 165737 167024 167827 168922 169214 172304 173667 173728 173888 175864 177144 178608 179157 179322 180804 182208 183084 187968 191906 193492 195932 198341 203632 203984 204611 206302 207904 209352 211731 211992 212097 213744 214401 216372 220704 222144 222528 223212 229658 231556 236192 238144 238876 239096 241072 241813 244112 245586 246886 250536 253383 253821 258456 260592 260832 263796 266304 271633 279136 279994 280478 282308 282656 282796 284992 285868 287859 288496 290238 293898 297616 302016 305448 305976 309453 311856 324672 327448 331169 331474 334048 335654 337844 338428 344487 344608 347334 347456 351728 354288 357216 358314 358644 361608 366168 370329 383812 386984 391864 396317 396682 407264 407968 409222 412604 415808 418704 419991 420717 423462 423984 424194 427488 428802 432744 441408 446424 450241 459316 463112 472384 477752 478192 482144 483626 488224 491172 493772 497211 501072 503481 506766 507642 516912 521184 521664 527592 532103 538813 543266 558272 559988 560956 564616 565312 565592 571736 575718 576992 580476 587796 595023 595232 610896 611952 613833 618906 623712 636779 654896 656909 662338 662948 668096 671308 675688 676856 688974 689216 694668 703456 708576 714432 716628 717288 723216 725439 732336 740658 767624 773968 776347 777689 783728 786137 792634 793364 814528 814899 815936 818444 825208 837408 839982 841434 846924 847968 848388 854976 857604 865488 892848 900482 918632 919087 926224 929071 930677 955504 956384 964288 967252 976448 982344 987544 993507 994422 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2433779526464 2667796788624 2890113187676 3152850750192 3557062384832 3650669289696 4203801000256 4335169781514 5335593577248 5780226375352 6305701500384 7301338579392 8670339563028 10671187154496 11560452750704 12611403000768 17340679126056 23120905501408 34681358252112 46241811002816 69362716504224 138725433008448
- Sum of all divisors σ(n): 476632832457600
- Sum of proper divisors (its aliquot sum) s(n): 337907399449152
- 138725433008448 is an abundant number, because the sum of its proper divisors (337907399449152) is greater than itself. Its abundance is 199181966440704
Bases of 138725433008448
- Binary: 111111000101011100010000010011111100001010000002
- Hexadecimal: 0x7E2B8827E140
- Base-36: 1D69L1116O
Squares and roots of 138725433008448
- 138725433008448 squared (1387254330084482) is 19244745763381393916039368704
- 138725433008448 cubed (1387254330084483) is 2669735689162579027355173084311749418811392
-
The
square root of 138725433008448 is 11778176.1325108397 -
The
cube root of 138725433008448 is 51766.8846405745
Scales and comparisons
How big is 138725433008448?- 138,725,433,008,448 seconds is equal to 4,411,039 years, 34 weeks, 3 days, 14 hours, 20 minutes, 48 seconds.
-
To count from 1 to 138,725,433,008,448 would take you about eleven million, twenty-seven thousand, five hundred ninety-nine 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 138725433008448 cubic inches would be around 4313.9 feet tall.
Recreational maths with 138725433008448
- 138725433008448 backwards is 844800334527831
- The number of decimal digits it has is: 15
- The sum of 138725433008448's digits is 60
- More coming soon!
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Cite this page
MLA style:
"Number 138725433008448 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 138725433008448 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138725433008448/
Chicago style:
Numbermatics. 2024. "Number 138725433008448 - Facts about the integer". https://numbermatics.com/n/138725433008448/
The information we have on file for 138725433008448 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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