132135737584032
132,135,737,584,032 is an even composite number composed of six prime numbers multiplied together.
What does the number 132135737584032 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
132135737584032 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 132135737584032:
25 × 36 × 7 × 133 × 31 × 1092
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 13 × 31 × 109 × 109)See below for interesting mathematical facts about the number 132135737584032 from the Numbermatics database.
Names of 132135737584032
- Cardinal: 132135737584032 can be written as One hundred thirty-two trillion, one hundred thirty-five billion, seven hundred thirty-seven million, five hundred eighty-four thousand and thirty-two.
Scientific notation
- Scientific notation: 1.32135737584032 × 1014
Factors of 132135737584032
Divisors of 132135737584032
- Number of divisors d(n): 2016
-
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 52 54 56 62 63 72 78 81 84 91 93 96 104 108 109 112 117 124 126 144 156 162 168 169 182 186 189 208 216 217 218 224 234 243 248 252 273 279 288 312 324 327 336 338 351 364 372 378 403 416 432 434 436 468 486 496 504 507 546 558 567 624 648 651 654 672 676 702 728 729 744 756 763 806 819 837 864 868 872 936 972 981 992 1008 1014 1053 1092 1116 1134 1183 1209 1248 1296 1302 1308 1352 1404 1417 1456 1458 1488 1512 1521 1526 1612 1638 1674 1701 1736 1744 1872 1944 1953 1962 2016 2028 2106 2184 2197 2232 2268 2289 2366 2418 2457 2511 2592 2604 2616 2704 2808 2821 2834 2912 2916 2943 2976 3024 3042 3052 3159 3224 3276 3348 3379 3402 3472 3488 3549 3627 3744 3888 3906 3924 4056 4212 4251 4368 4394 4464 4536 4563 4578 4732 4836 4914 5022 5103 5208 5232 5239 5408 5616 5642 5668 5832 5859 5886 6048 6084 6104 6318 6448 6552 6591 6696 6758 6804 6867 6944 7098 7254 7371 7533 7776 7812 7848 8112 8424 8463 8502 8736 8788 8829 8928 9072 9126 9156 9464 9477 9672 9828 9919 10044 10137 10206 10416 10464 10478 10647 10881 11232 11284 11336 11664 11718 11772 11881 12168 12208 12636 12753 12896 13104 13182 13392 13516 13608 13689 13734 14196 14508 14742 15066 15379 15624 15696 15717 16224 16848 16926 17004 17576 17577 17658 18144 18252 18312 18421 18928 18954 19344 19656 19773 19838 20088 20274 20412 20601 20832 20956 21294 21762 22113 22568 22599 22672 23328 23436 23544 23653 23762 24336 24416 25272 25389 25506 26208 26364 26487 26784 27032 27216 27378 27468 28392 29016 29484 29757 30132 30411 30758 31248 31392 31434 31941 32643 33696 33852 34008 35152 35154 35316 35643 36504 36624 36673 36842 37856 37908 38259 38688 39312 39546 39676 40176 40548 40824 41067 41202 41912 42588 43524 43927 44226 45136 45198 45344 46137 46872 47088 47151 47306 47524 48672 50544 50778 51012 52728 52731 52974 54064 54432 54756 54936 55263 56784 58032 58968 59319 59514 60264 60822 61516 61803 62496 62868 63882 65286 66339 67704 68016 68107 70304 70308 70632 70959 71286 73008 73248 73346 73684 75816 76167 76518 78624 79092 79352 79461 80352 81096 81648 82134 82404 83167 83824 85176 87048 87854 88452 89271 90272 90396 91233 92274 93744 94176 94302 94612 95048 95823 97929 101088 101556 102024 105456 105462 105948 106929 108128 109512 109872 110019 110526 113568 114777 116064 117936 118638 119028 120528 121644 123032 123201 123606 125736 127764 128947 130572 131781 132678 135408 136032 136214 138411 140616 141264 141453 141918 142572 146016 146692 147368 151632 152334 153036 154453 158184 158193 158704 158922 162192 163296 164268 164808 165789 166334 167648 170352 174096 175708 176904 177957 178542 180792 182466 184548 185409 187488 188604 189224 190096 191646 195858 203112 204048 204321 210912 210924 211896 212877 213858 219024 219744 220038 221052 228501 229554 235872 237276 238056 239473 241056 243288 246064 246402 247212 249501 251472 255528 257894 261144 263562 265356 267813 270816 272428 273699 276822 281232 282528 282906 283836 285144 287469 293384 293787 294736 303264 304668 306072 307489 308906 316368 316386 317408 317844 320787 324384 328536 329616 330057 331578 332668 340704 344331 348192 351416 353808 355914 357084 361584 364932 368311 369096 370818 377208 378448 380192 383292 386841 391716 395343 406224 408096 408642 415233 421848 423792 424359 425754 427716 438048 440076 442104 457002 459108 463359 474552 476112 476749 478946 486576 492128 492804 494424 497367 499002 502944 511056 515788 522288 527124 530712 533871 535626 544856 547398 553644 556227 562464 565812 567672 570288 571051 574938 586768 587574 589472 609336 612144 612963 614978 617812 632736 632772 635688 638631 641574 657072 659232 660114 663156 665336 685503 688662 702832 707616 711828 714168 718419 723168 729864 736622 738192 741636 748503 754416 756896 766584 773682 783432 790686 803439 812448 817284 821097 830466 843696 847584 848718 851508 855432 862407 880152 884208 914004 918216 922467 926718 949104 952224 953498 957892 962361 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4129241799501 4262443147872 4719133485144 4893916206816 5082143753232 5505655732668 6292177980192 7340874310224 8258483599002 9438266970288 10164287506464 11011311465336 14681748620448 16516967198004 18876533940576 22022622930672 33033934396008 44045245861344 66067868792016 132135737584032
- Sum of all divisors σ(n): 503075348536320
- Sum of proper divisors (its aliquot sum) s(n): 370939610952288
- 132135737584032 is an abundant number, because the sum of its proper divisors (370939610952288) is greater than itself. Its abundance is 238803873368256
Bases of 132135737584032
- Binary: 111100000101101001111111011001101101001101000002
- Hexadecimal: 0x782D3FB369A0
- Base-36: 1AU6BIII00
Squares and roots of 132135737584032
- 132135737584032 squared (1321357375840322) is 17459853146876166844261377024
- 132135737584032 cubed (1321357375840323) is 2307070573671364506777822748088767234080768
-
The
square root of 132135737584032 is 11495030.9953489033 -
The
cube root of 132135737584032 is 50933.8804290723
Scales and comparisons
How big is 132135737584032?- 132,135,737,584,032 seconds is equal to 4,201,507 years, 38 weeks, 15 hours, 7 minutes, 12 seconds.
-
To count from 1 to 132,135,737,584,032 would take you about ten million, five hundred three thousand, seven hundred sixty-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 132135737584032 cubic inches would be around 4244.5 feet tall.
Recreational maths with 132135737584032
- 132135737584032 backwards is 230485737531231
- 132135737584032 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132135737584032's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 132135737584032 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 132135737584032 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/132135737584032/
Chicago style:
Numbermatics. 2024. "Number 132135737584032 - Facts about the integer". https://numbermatics.com/n/132135737584032/
The information we have on file for 132135737584032 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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