213164134400
213,164,134,400 is an even composite number composed of six prime numbers multiplied together.
213164134400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 213164134400:
212 × 52 × 7 × 31 × 53 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 31 × 53 × 181)See below for interesting mathematical facts about the number 213164134400 from the Numbermatics database.
Names of 213164134400
- Cardinal: 213164134400 can be written as Two hundred thirteen billion, one hundred sixty-four million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 2.131641344 × 1011
Factors of 213164134400
Divisors of 213164134400
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 53 56 62 64 70 80 100 106 112 124 128 140 155 160 175 181 200 212 217 224 248 256 265 280 310 320 350 362 371 400 424 434 448 496 512 530 560 620 640 700 724 742 775 800 848 868 896 905 992 1024 1060 1085 1120 1240 1267 1280 1325 1400 1448 1484 1550 1600 1643 1696 1736 1792 1810 1855 1984 2048 2120 2170 2240 2480 2534 2560 2650 2800 2896 2968 3100 3200 3286 3392 3472 3584 3620 3710 3968 4096 4240 4340 4480 4525 4960 5068 5120 5300 5425 5600 5611 5792 5936 6200 6335 6400 6572 6784 6944 7168 7240 7420 7936 8215 8480 8680 8960 9050 9275 9593 9920 10136 10240 10600 10850 11200 11222 11501 11584 11872 12400 12670 12800 13144 13568 13888 14336 14480 14840 15872 16430 16960 17360 17920 18100 18550 19186 19840 20272 20480 21200 21700 22400 22444 23002 23168 23744 24800 25340 25600 26288 27136 27776 28055 28672 28960 29680 31675 31744 32860 33920 34720 35840 36200 37100 38372 39277 39680 40544 41075 42400 43400 44800 44888 46004 46336 47488 47965 49600 50680 51200 52576 54272 55552 56110 57505 57920 59360 63350 63488 65720 67151 67840 69440 71680 72400 74200 76744 78554 79360 81088 82150 84800 86800 89600 89776 92008 92672 94976 95930 99200 101360 102400 105152 108544 111104 112220 115010 115840 118720 126700 126976 131440 134302 135680 138880 140275 143360 144800 148400 153488 157108 158720 162176 164300 169600 173600 179200 179552 184016 185344 189952 191860 196385 198400 202720 210304 217088 222208 224440 230020 231680 237440 239825 253400 262880 268604 271360 277760 280550 287525 289600 296800 297383 306976 314216 317440 324352 328600 335755 339200 347200 358400 359104 368032 370688 379904 383720 392770 396800 405440 420608 444416 448880 460040 463360 474880 479650 506800 525760 537208 542720 555520 561100 575050 579200 593600 594766 613952 628432 634880 648704 657200 671510 678400 694400 716800 718208 736064 741376 759808 767440 785540 793600 810880 841216 888832 897760 920080 926720 949760 959300 981925 1013600 1051520 1074416 1085440 1111040 1122200 1150100 1158400 1187200 1189532 1227904 1256864 1297408 1314400 1343020 1356800 1388800 1436416 1472128 1486915 1519616 1534880 1571080 1587200 1621760 1678775 1682432 1795520 1840160 1853440 1899520 1918600 1963850 2027200 2081681 2103040 2148832 2222080 2244400 2300200 2316800 2374400 2379064 2455808 2513728 2594816 2628800 2686040 2713600 2777600 2872832 2944256 2973830 3069760 3142160 3174400 3243520 3357550 3364864 3591040 3680320 3706880 3799040 3837200 3927700 4054400 4163362 4206080 4297664 4444160 4488800 4600400 4633600 4748800 4758128 4911616 5027456 5189632 5257600 5372080 5427200 5555200 5745664 5888512 5947660 6139520 6284320 6487040 6715100 6729728 7182080 7360640 7434575 7598080 7674400 7855400 8108800 8326724 8412160 8595328 8977600 9200800 9267200 9497600 9516256 9823232 10054912 10408405 10515200 10744160 11110400 11491328 11777024 11895320 12279040 12568640 12974080 13430200 14364160 14721280 14869150 15348800 15710800 16217600 16653448 16824320 17190656 17955200 18401600 18534400 18995200 19032512 19646464 20109824 20816810 21030400 21488320 22220800 22982656 23554048 23790640 24558080 25137280 25948160 26860400 28728320 29442560 29738300 30697600 31421600 32435200 33306896 33648640 34381312 35910400 36803200 37990400 38065024 39292928 40219648 41633620 42060800 42976640 47108096 47581280 49116160 50274560 52042025 53720800 57456640 58885120 59476600 61395200 62843200 64870400 66613792 68762624 71820800 73606400 76130048 80439296 83267240 84121600 85953280 95162560 98232320 100549120 104084050 107441600 114913280 117770240 118953200 122790400 125686400 129740800 133227584 137525248 143641600 147212800 152260096 160878592 166534480 168243200 171906560 190325120 196464640 201098240 208168100 214883200 235540480 237906400 245580800 251372800 266455168 275050496 287283200 294425600 304520192 333068960 343813120 380650240 402196480 416336200 429766400 475812800 491161600 502745600 532910336 574566400 588851200 609040384 666137920 687626240 761300480 804392960 832672400 859532800 951625600 982323200 1005491200 1065820672 1177702400 1218080768 1332275840 1375252480 1522600960 1665344800 1719065600 1903251200 2010982400 2131641344 2664551680 3045201920 3330689600 3438131200 3806502400 4021964800 4263282688 5329103360 6090403840 6661379200 6876262400 7613004800 8526565376 10658206720 13322758400 15226009600 21316413440 26645516800 30452019200 42632826880 53291033600 106582067200 213164134400
- Sum of all divisors σ(n): 638857110528
- Sum of proper divisors (its aliquot sum) s(n): 425692976128
- 213164134400 is an abundant number, because the sum of its proper divisors (425692976128) is greater than itself. Its abundance is 212528841728
Bases of 213164134400
- Binary: 110001101000011001001010010000000000002
- Hexadecimal: 0x31A1929000
- Base-36: 2PXCF6RK
Squares and roots of 213164134400
- 213164134400 squared (2131641344002) is 45438948194501263360000
- 213164134400 cubed (2131641344003) is 9685954059927304643840835584000000
-
The
square root of 213164134400 is 461697.0158014885 -
The
cube root of 213164134400 is 5973.6262257175
Scales and comparisons
How big is 213164134400?- 213,164,134,400 seconds is equal to 6,777 years, 49 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 213,164,134,400 would take you about thirteen thousand, five hundred fifty-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 213164134400 cubic inches would be around 497.8 feet tall.
Recreational maths with 213164134400
- 213164134400 backwards is 004431461312
- The number of decimal digits it has is: 12
- The sum of 213164134400's digits is 29
- More coming soon!
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The information we have on file for 213164134400 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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