213313132800
213,313,132,800 is an even composite number composed of five prime numbers multiplied together.
213313132800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 213313132800:
28 × 33 × 52 × 31 × 39821
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 31 × 39821)See below for interesting mathematical facts about the number 213313132800 from the Numbermatics database.
Names of 213313132800
- Cardinal: 213313132800 can be written as Two hundred thirteen billion, three hundred thirteen million, one hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 2.133131328 × 1011
Factors of 213313132800
Divisors of 213313132800
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 90 93 96 100 108 120 124 128 135 144 150 155 160 180 186 192 200 216 225 240 248 256 270 279 288 300 310 320 360 372 384 400 432 450 465 480 496 540 558 576 600 620 640 675 720 744 768 775 800 837 864 900 930 960 992 1080 1116 1152 1200 1240 1280 1350 1395 1440 1488 1550 1600 1674 1728 1800 1860 1920 1984 2160 2232 2304 2325 2400 2480 2700 2790 2880 2976 3100 3200 3348 3456 3600 3720 3840 3968 4185 4320 4464 4650 4800 4960 5400 5580 5760 5952 6200 6400 6696 6912 6975 7200 7440 7936 8370 8640 8928 9300 9600 9920 10800 11160 11520 11904 12400 13392 13950 14400 14880 16740 17280 17856 18600 19200 19840 20925 21600 22320 23808 24800 26784 27900 28800 29760 33480 34560 35712 37200 39680 39821 41850 43200 44640 49600 53568 55800 57600 59520 66960 71424 74400 79642 83700 86400 89280 99200 107136 111600 119040 119463 133920 148800 159284 167400 172800 178560 198400 199105 214272 223200 238926 267840 297600 318568 334800 357120 358389 398210 446400 477852 535680 595200 597315 637136 669600 716778 796420 892800 955704 995525 1071360 1075167 1194630 1234451 1274272 1339200 1433556 1592840 1785600 1791945 1911408 1991050 2150334 2389260 2468902 2548544 2678400 2867112 2986575 3185680 3583890 3703353 3822816 3982100 4300668 4778520 4937804 5097088 5356800 5375835 5734224 5973150 6172255 6371360 7167780 7406706 7645632 7964200 8601336 8959725 9557040 9875608 10194176 10751670 11110059 11468448 11946300 12344510 12742720 14335560 14813412 15291264 15928400 17202672 17919450 18516765 19114080 19751216 21503340 22220118 22936896 23892600 24689020 25485440 26879175 28671120 29626824 30582528 30861275 31856800 33330177 34405344 35838900 37033530 38228160 39502432 43006680 44440236 45873792 47785200 49378040 50970880 53758350 55550295 57342240 59253648 61722550 63713600 66660354 68810688 71677800 74067060 76456320 79004864 86013360 88880472 91747584 92583825 95570400 98756080 107516700 111100590 114684480 118507296 123445100 127427200 133320708 137621376 143355600 148134120 152912640 158009728 166650885 172026720 177760944 185167650 191140800 197512160 215033400 222201180 229368960 237014592 246890200 254854400 266641416 275242752 277751475 286711200 296268240 316019456 333301770 344053440 355521888 370335300 382281600 395024320 430066800 444402360 458737920 474029184 493780400 533282832 555502950 573422400 592536480 666603540 688106880 711043776 740670600 764563200 790048640 833254425 860133600 888804720 948058368 987560800 1066565664 1111005900 1146844800 1185072960 1333207080 1376213760 1422087552 1481341200 1580097280 1666508850 1720267200 1777609440 1975121600 2133131328 2222011800 2293689600 2370145920 2666414160 2844175104 2962682400 3333017700 3440534400 3555218880 3950243200 4266262656 4444023600 4740291840 5332828320 5925364800 6666035400 6881068800 7110437760 7900486400 8532525312 8888047200 10665656640 11850729600 13332070800 14220875520 17776094400 21331313280 23701459200 26664141600 35552188800 42662626560 53328283200 71104377600 106656566400 213313132800
- Sum of all divisors σ(n): 807449986560
- Sum of proper divisors (its aliquot sum) s(n): 594136853760
- 213313132800 is an abundant number, because the sum of its proper divisors (594136853760) is greater than itself. Its abundance is 380823720960
Bases of 213313132800
- Binary: 110001101010100111010000011001000000002
- Hexadecimal: 0x31AA741900
- Base-36: 2PZT4QO0
Squares and roots of 213313132800
- 213313132800 squared (2133131328002) is 45502492624950435840000
- 213313132800 cubed (2133131328003) is 9706279252037072913755799552000000
-
The
square root of 213313132800 is 461858.3471152169 -
The
cube root of 213313132800 is 5975.0177253607
Scales and comparisons
How big is 213313132800?- 213,313,132,800 seconds is equal to 6,782 years, 36 weeks, 2 days.
-
To count from 1 to 213,313,132,800 would take you about thirteen thousand, five hundred sixty-five 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 213313132800 cubic inches would be around 497.9 feet tall.
Recreational maths with 213313132800
- 213313132800 backwards is 008231313312
- 213313132800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 213313132800's digits is 27
- More coming soon!
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