213013862400
213,013,862,400 is an even composite number composed of six prime numbers multiplied together.
213013862400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 213013862400:
211 × 3 × 52 × 17 × 292 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 29 × 29 × 97)See below for interesting mathematical facts about the number 213013862400 from the Numbermatics database.
Names of 213013862400
- Cardinal: 213013862400 can be written as Two hundred thirteen billion, thirteen million, eight hundred sixty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.130138624 × 1011
Factors of 213013862400
Divisors of 213013862400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 29 30 32 34 40 48 50 51 58 60 64 68 75 80 85 87 96 97 100 102 116 120 128 136 145 150 160 170 174 192 194 200 204 232 240 255 256 272 290 291 300 320 340 348 384 388 400 408 425 435 464 480 485 493 510 512 544 580 582 600 640 680 696 725 768 776 800 816 841 850 870 928 960 970 986 1020 1024 1088 1160 1164 1200 1275 1280 1360 1392 1450 1455 1479 1536 1552 1600 1632 1649 1682 1700 1740 1856 1920 1940 1972 2040 2048 2175 2176 2320 2328 2400 2425 2465 2523 2550 2560 2720 2784 2813 2900 2910 2958 3072 3104 3200 3264 3298 3364 3400 3480 3712 3840 3880 3944 4080 4205 4350 4352 4640 4656 4800 4850 4930 4947 5046 5100 5120 5440 5568 5626 5800 5820 5916 6144 6208 6400 6528 6596 6728 6800 6960 7275 7395 7424 7680 7760 7888 8160 8245 8410 8439 8700 8704 9280 9312 9600 9700 9860 9894 10092 10200 10240 10880 11136 11252 11600 11640 11832 12325 12416 12615 12800 13056 13192 13456 13600 13920 14065 14297 14550 14790 14848 15360 15520 15776 16320 16490 16820 16878 17400 17408 18560 18624 19200 19400 19720 19788 20184 20400 21025 21760 22272 22504 23200 23280 23664 24650 24735 24832 25230 25600 26112 26384 26912 27200 27840 28130 28594 29100 29580 29696 30720 31040 31552 32640 32980 33640 33756 34800 34816 36975 37120 37248 38400 38800 39440 39576 40368 40800 41225 42050 42195 42891 43520 44544 45008 46400 46560 47328 47821 49300 49470 49664 50460 51200 52224 52768 53824 54400 55680 56260 57188 58200 59160 59392 62080 63075 63104 65280 65960 67280 67512 69600 70325 71485 73950 74240 74496 76800 77600 78880 79152 80736 81577 81600 82450 84100 84390 85782 87040 89088 90016 92800 93120 94656 95642 98600 98940 99328 100920 104448 105536 107648 108800 111360 112520 114376 116400 118320 123675 124160 126150 126208 130560 131920 134560 135024 139200 140650 142970 143463 147900 148480 148992 153600 155200 157760 158304 161472 163154 163200 164900 168200 168780 171564 174080 178176 180032 185600 186240 189312 191284 197200 197880 198656 201840 210975 211072 214455 215296 217600 222720 225040 228752 232800 236640 239105 244731 247350 248320 252300 252416 261120 263840 269120 270048 278400 281300 285940 286926 295800 296960 297984 310400 315520 316608 322944 326308 326400 329800 336400 337560 343128 357425 360064 371200 372480 378624 382568 394400 395760 403680 407885 421950 422144 428910 430592 435200 445440 450080 457504 465600 473280 478210 489462 494700 496640 504600 504832 522240 527680 538240 540096 556800 562600 571880 573852 591600 595968 620800 631040 633216 645888 652616 652800 659600 672800 675120 686256 714850 717315 720128 742400 744960 757248 765136 788800 791520 807360 815770 843900 844288 857820 861184 870400 890880 900160 915008 931200 946560 956420 978924 989400 993280 1009200 1009664 1055360 1072275 1076480 1080192 1113600 1125200 1143760 1147704 1183200 1195525 1223655 1241600 1262080 1266432 1291776 1305232 1305600 1319200 1345600 1350240 1372512 1386809 1429700 1434630 1440256 1484800 1489920 1514496 1530272 1577600 1583040 1614720 1631540 1687800 1688576 1715640 1722368 1800320 1830016 1862400 1893120 1912840 1957848 1978800 2018400 2039425 2110720 2144550 2152960 2160384 2227200 2250400 2287520 2295408 2366400 2391050 2447310 2483200 2524160 2532864 2583552 2610464 2611200 2638400 2691200 2700480 2745024 2773618 2859400 2869260 2880512 2979840 3028992 3060544 3155200 3166080 3229440 3263080 3375600 3377152 3431280 3586575 3600640 3660032 3724800 3786240 3825680 3915696 3957600 4036800 4078850 4160427 4221440 4289100 4305920 4320768 4454400 4500800 4575040 4590816 4732800 4782100 4894620 4966400 5048320 5065728 5167104 5220928 5276800 5382400 5400960 5490048 5547236 5718800 5738520 5761024 6118275 6121088 6310400 6332160 6458880 6526160 6751200 6862560 6934045 7173150 7201280 7320064 7449600 7572480 7651360 7831392 7915200 8073600 8157700 8320854 8442880 8578200 8611840 8641536 9001600 9150080 9181632 9465600 9564200 9789240 10131456 10441856 10553600 10764800 10801920 10980096 11094472 11437600 11477040 12236550 12242176 12620800 12664320 12917760 13052320 13502400 13725120 13868090 14346300 14402560 14640128 14899200 15144960 15302720 15662784 15830400 16147200 16315400 16641708 16885760 17156400 17283072 18003200 18300160 18363264 18931200 19128400 19578480 20802135 20883712 21107200 21529600 21603840 21960192 22188944 22875200 22954080 24473100 24484352 25241600 25328640 25835520 26104640 27004800 27450240 27736180 28692600 28805120 29280256 30605440 31325568 31660800 32294400 32630800 33283416 34312800 34670225 36006400 36600320 36726528 37862400 38256800 39156960 41604270 41767424 42214400 43059200 43207680 43920384 44377888 45750400 45908160 48946200 48968704 50657280 52209280 54009600 54900480 55472360 57385200 61210880 62651136 63321600 64588800 65261600 66566832 68625600 69340450 72012800 73200640 73453056 75724800 76513600 78313920 83208540 83534848 84428800 86415360 87840768 88755776 91500800 91816320 97892400 97937408 104010675 104418560 108019200 109800960 110944720 114770400 122421760 125302272 126643200 129177600 130523200 133133664 137251200 138680900 144025600 146401280 146906112 153027200 156627840 166417080 167069696 177511552 183001600 183632640 195784800 208021350 208837120 216038400 219601920 221889440 229540800 244843520 250604544 253286400 261046400 266267328 274502400 277361800 293812224 306054400 313255680 332834160 355023104 366003200 367265280 391569600 416042700 417674240 432076800 439203840 443778880 459081600 489687040 501209088 522092800 532534656 549004800 554723600 612108800 626511360 665668320 710046208 732006400 734530560 783139200 832085400 835348480 887557760 918163200 1044185600 1065069312 1098009600 1109447200 1224217600 1253022720 1331336640 1420092416 1469061120 1566278400 1664170800 1775115520 1836326400 2088371200 2130138624 2196019200 2218894400 2448435200 2506045440 2662673280 2840184832 3132556800 3328341600 3550231040 3672652800 4176742400 4260277248 4437788800 5325346560 6265113600 6656683200 7100462080 7345305600 8520554496 8875577600 10650693120 12530227200 13313366400 14200924160 17751155200 21301386240 26626732800 35502310400 42602772480 53253465600 71004620800 106506931200 213013862400
- Sum of all divisors σ(n): 780175534320
- Sum of proper divisors (its aliquot sum) s(n): 567161671920
- 213013862400 is an abundant number, because the sum of its proper divisors (567161671920) is greater than itself. Its abundance is 354147809520
Bases of 213013862400
- Binary: 110001100110001001110110011000000000002
- Hexadecimal: 0x31989D9800
- Base-36: 2PUUYC5C
Squares and roots of 213013862400
- 213013862400 squared (2130138624002) is 45374905574566133760000
- 213013862400 cubed (2130138624003) is 9665483892473623356452634624000000
-
The
square root of 213013862400 is 461534.2483500005 -
The
cube root of 213013862400 is 5972.2221749765
Scales and comparisons
How big is 213013862400?- 213,013,862,400 seconds is equal to 6,773 years, 9 weeks, 3 days, 5 hours, 20 minutes.
-
To count from 1 to 213,013,862,400 would take you about thirteen thousand, five hundred forty-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 213013862400 cubic inches would be around 497.7 feet tall.
Recreational maths with 213013862400
- 213013862400 backwards is 004268310312
- 213013862400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 213013862400's digits is 30
- More coming soon!
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