133131301875
133,131,301,875 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 133131301875 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
133131301875 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 133131301875:
32 × 54 × 11 × 13 × 19 × 31 × 281
(3 × 3 × 5 × 5 × 5 × 5 × 11 × 13 × 19 × 31 × 281)See below for interesting mathematical facts about the number 133131301875 from the Numbermatics database.
Names of 133131301875
- Cardinal: 133131301875 can be written as One hundred thirty-three billion, one hundred thirty-one million, three hundred one thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 1.33131301875 × 1011
Factors of 133131301875
Divisors of 133131301875
- Number of divisors d(n): 480
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Complete list of divisors:
1 3 5 9 11 13 15 19 25 31 33 39 45 55 57 65 75 93 95 99 117 125 143 155 165 171 195 209 225 247 275 279 281 285 325 341 375 403 429 465 475 495 585 589 625 627 715 741 775 825 843 855 975 1023 1045 1125 1209 1235 1287 1375 1395 1405 1425 1625 1705 1767 1875 1881 2015 2145 2223 2325 2375 2475 2529 2717 2925 2945 3069 3091 3135 3575 3627 3653 3705 3875 4125 4215 4275 4433 4875 5115 5225 5301 5339 5625 6045 6175 6435 6479 6875 6975 7025 7125 7657 8125 8151 8525 8711 8835 9273 9405 10075 10725 10959 11115 11625 11875 12375 12645 13299 13585 14625 14725 15345 15455 15675 16017 17875 18135 18265 18525 19375 19437 20625 21075 21375 22165 22971 24375 24453 25575 26125 26133 26505 26695 27819 30225 30875 32175 32395 32877 34875 35125 35625 38285 39897 40183 40755 42625 43555 44175 46365 47025 48051 50375 53625 54795 55575 58125 58311 58729 61875 63225 66495 67925 68913 69407 73125 73625 76725 77275 78375 78399 80085 84227 89375 90675 91325 92625 95821 97185 105375 106875 110825 113243 114855 120549 122265 127875 130625 130665 132525 133475 139095 151125 154375 160875 161975 164385 165509 174375 175625 176187 191425 199485 200915 203775 208221 213125 217775 220875 231825 235125 240255 251875 252681 268125 273975 277875 287463 291555 293645 316125 332475 339625 339729 344565 347035 361647 368125 383625 386375 391875 391995 400425 421135 453375 456625 463125 479105 485925 496527 526875 528561 554125 566215 574275 602745 611325 624663 639375 653325 662625 667375 695475 755625 758043 763477 804375 809875 821925 827545 862389 880935 957125 997425 1004575 1018875 1019187 1041105 1088875 1104375 1159125 1175625 1201275 1245673 1263405 1369875 1389375 1437315 1457775 1468225 1489581 1580625 1662375 1698125 1698645 1722825 1735175 1808235 1820599 1918125 1931875 1959975 2002125 2105675 2151617 2266875 2283125 2290431 2395525 2429625 2482635 2642805 2770625 2831075 2871375 3013725 3056625 3123315 3266625 3313125 3336875 3477375 3737019 3790215 3817385 4049375 4109625 4137725 4311945 4404675 4785625 4987125 5022875 5094375 5095935 5205525 5444375 5461797 5795625 6006375 6228365 6317025 6454851 6849375 6871293 7186575 7288875 7341125 7447905 8311875 8493225 8614125 8675875 9041175 9102995 9799875 10010625 10528375 10758085 11211057 11452155 11977625 12148125 12413175 13214025 14155375 14356875 15068625 15283125 15616575 16333125 16385391 17386875 18685095 18951075 19086925 19364553 20548125 20688625 21559725 22023375 23667787 24935625 25114375 25479675 26027625 27308985 30031875 31141825 31585125 32274255 34356465 35932875 36444375 36705625 37239525 42466125 43070625 43379375 45205875 45514975 48999375 52641875 53790425 56055285 57260775 59888125 62065875 66070125 70776875 71003361 75343125 78082875 81926955 93425475 94755375 95434625 96822765 103443125 107798625 110116875 118338935 127398375 130138125 136544925 155709125 157925625 161371275 171782325 179664375 186197625 212330625 213010083 226029375 227574875 268952125 280276425 286303875 310329375 330350625 355016805 390414375 409634775 467127375 473776875 477173125 484113825 538993125 591694675 636991875 682724625 778545625 806856375 858911625 930988125 1065050415 1137874375 1344760625 1401382125 1431519375 1775084025 2048173875 2335636875 2420569125 2958473375 3413623125 4034281875 4294558125 5325252075 7006910625 8875420125 10240869375 12102845625 14792366875 26626260375 44377100625 133131301875
- Sum of all divisors σ(n): 307845457920
- Sum of proper divisors (its aliquot sum) s(n): 174714156045
- 133131301875 is an abundant number, because the sum of its proper divisors (174714156045) is greater than itself. Its abundance is 41582854170
Bases of 133131301875
- Binary: 11110111111110011111001110011111100112
- Hexadecimal: 0x1EFF3E73F3
- Base-36: 1P5QXTYR
Squares and roots of 133131301875
- 133131301875 squared (1331313018752) is 17723943538932378515625
- 133131301875 cubed (1331313018753) is 2359611677697062299375436279296875
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The
square root of 133131301875 is 364871.6238281623 -
The
cube root of 133131301875 is 5106.1479347299
Scales and comparisons
How big is 133131301875?- 133,131,301,875 seconds is equal to 4,233 years, 8 weeks, 3 days, 13 hours, 11 minutes, 15 seconds.
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To count from 1 to 133,131,301,875 would take you about eight thousand, four hundred sixty-six 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 133131301875 cubic inches would be around 425.5 feet tall.
Recreational maths with 133131301875
- 133131301875 backwards is 578103131331
- The number of decimal digits it has is: 12
- The sum of 133131301875's digits is 36
- More coming soon!
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