133538648068800
133,538,648,068,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 133538648068800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3528 divisors.
133538648068800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, five hundred twenty-eight divisors.
Prime factorization of 133538648068800:
26 × 36 × 52 × 133 × 31 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 31 × 41 × 41)See below for interesting mathematical facts about the number 133538648068800 from the Numbermatics database.
Names of 133538648068800
- Cardinal: 133538648068800 can be written as One hundred thirty-three trillion, five hundred thirty-eight billion, six hundred forty-eight million, sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.335386480688 × 1014
Factors of 133538648068800
Divisors of 133538648068800
- Number of divisors d(n): 3528
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 31 32 36 39 40 41 45 48 50 52 54 60 62 64 65 72 75 78 80 81 82 90 93 96 100 104 108 117 120 123 124 130 135 144 150 155 156 160 162 164 169 180 186 192 195 200 205 208 216 225 234 240 243 246 248 260 270 279 288 300 310 312 320 324 325 328 338 351 360 369 372 390 400 403 405 410 416 432 450 465 468 480 486 492 496 507 520 533 540 558 576 585 600 615 620 624 648 650 656 675 676 702 720 729 738 744 775 780 800 806 810 820 832 837 845 864 900 930 936 960 972 975 984 992 1014 1025 1040 1053 1066 1080 1107 1116 1170 1200 1209 1215 1230 1240 1248 1271 1296 1300 1312 1350 1352 1395 1404 1440 1458 1476 1488 1521 1550 1560 1599 1600 1612 1620 1640 1674 1681 1690 1728 1755 1800 1845 1860 1872 1944 1950 1968 1984 2015 2025 2028 2050 2080 2106 2132 2160 2197 2214 2232 2325 2340 2400 2418 2430 2460 2480 2496 2511 2535 2542 2592 2600 2624 2665 2700 2704 2790 2808 2880 2916 2925 2952 2976 3042 3075 3100 3120 3159 3198 3224 3240 3280 3321 3348 3362 3380 3510 3600 3627 3645 3690 3720 3744 3813 3888 3900 3936 4030 4050 4056 4100 4160 4185 4212 4225 4264 4320 4394 4428 4464 4563 4650 4680 4797 4800 4836 4860 4920 4960 5022 5043 5070 5084 5184 5200 5239 5265 5330 5400 5408 5535 5580 5616 5832 5850 5904 5952 6045 6075 6084 6150 6200 6240 6318 6355 6396 6448 6480 6560 6591 6642 6696 6724 6760 6929 6975 7020 7200 7254 7290 7380 7440 7488 7533 7605 7626 7776 7800 7872 7995 8060 8100 8112 8200 8370 8405 8424 8450 8528 8640 8775 8788 8856 8928 9126 9225 9300 9360 9477 9594 9672 9720 9840 9920 9963 10044 10075 10086 10140 10168 10400 10478 10530 10660 10800 10816 10881 10985 11070 11160 11232 11439 11664 11700 11808 12090 12150 12168 12300 12400 12480 12555 12636 12675 12710 12792 12896 12960 13120 13182 13284 13325 13392 13448 13520 13689 13858 13950 14040 14391 14400 14508 14580 14760 14880 15066 15129 15210 15252 15552 15600 15717 15795 15990 16120 16200 16224 16400 16523 16605 16740 16810 16848 16900 17056 17550 17576 17712 17856 18135 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342406789920 358974860400 361893355200 370940689080 380451988800 395084757600 407130024600 410888147904 412156321200 417308275215 428008487400 430769832480 445128826896 463675861350 478633147200 494587585440 513610184880 538462290600 542840032800 549541761600 556411033620 570677983200 593505102528 618234481800 642012731100 651408039360 667693240344 684813579840 695513792025 717949720800 741881378160 790169515200 814260049200 824312642400 834616550430 856016974800 861539664960 890257653792 927351722700 989175170880 1027220369760 1076924581200 1085680065600 1112822067240 1141355966400 1236468963600 1284025462200 1335386480688 1391027584050 1435899441600 1483762756320 1628520098400 1648625284800 1669233100860 1712033949600 1780515307584 1854703445400 2054440739520 2086541376075 2153849162400 2225644134480 2472937927200 2568050924400 2670772961376 2782055168100 2967525512640 3257040196800 3338466201720 3424067899200 3709406890800 4173082752150 4307698324800 4451288268960 4945875854400 5136101848800 5341545922752 5564110336200 6676932403440 7418813781600 8346165504300 8902576537920 10272203697600 11128220672400 13353864806880 14837627563200 16692331008600 22256441344800 26707729613760 33384662017200 44512882689600 66769324034400 133538648068800
- Sum of all divisors σ(n): 564673997578880
- Sum of proper divisors (its aliquot sum) s(n): 431135349510080
- 133538648068800 is an abundant number, because the sum of its proper divisors (431135349510080) is greater than itself. Its abundance is 297596701441280
Bases of 133538648068800
- Binary: 111100101110011111000111010111010010010110000002
- Hexadecimal: 0x7973E3AE92C0
- Base-36: 1BC2T37000
Squares and roots of 133538648068800
- 133538648068800 squared (1335386480688002) is 17832570528042821969533440000
- 133538648068800 cubed (1335386480688003) is 2381337359906365384245538919893020672000000
-
The
square root of 133538648068800 is 11555892.3527696465 -
The
cube root of 133538648068800 is 51113.5044811743
Scales and comparisons
How big is 133538648068800?- 133,538,648,068,800 seconds is equal to 4,246,115 years, 49 weeks, 1 day, 12 hours.
-
To count from 1 to 133,538,648,068,800 would take you about ten million, six hundred fifteen thousand, two hundred eighty-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 133538648068800 cubic inches would be around 4259.5 feet tall.
Recreational maths with 133538648068800
- 133538648068800 backwards is 008860846835331
- The number of decimal digits it has is: 15
- The sum of 133538648068800's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 133538648068800 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 133538648068800 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/133538648068800/
Chicago style:
Numbermatics. 2024. "Number 133538648068800 - Facts about the integer". https://numbermatics.com/n/133538648068800/
The information we have on file for 133538648068800 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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