213843864000
213,843,864,000 is an even composite number composed of seven prime numbers multiplied together.
213843864000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 213843864000:
26 × 3 × 53 × 13 × 41 × 73 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 41 × 73 × 229)See below for interesting mathematical facts about the number 213843864000 from the Numbermatics database.
Names of 213843864000
- Cardinal: 213843864000 can be written as Two hundred thirteen billion, eight hundred forty-three million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 2.13843864 × 1011
Factors of 213843864000
Divisors of 213843864000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 41 48 50 52 60 64 65 73 75 78 80 82 96 100 104 120 123 125 130 146 150 156 160 164 192 195 200 205 208 219 229 240 246 250 260 292 300 312 320 325 328 365 375 390 400 410 416 438 458 480 492 500 520 533 584 600 615 624 650 656 687 730 750 780 800 820 832 876 916 949 960 975 984 1000 1025 1040 1066 1095 1145 1168 1200 1230 1248 1300 1312 1374 1460 1500 1560 1599 1600 1625 1640 1752 1825 1832 1898 1950 1968 2000 2050 2080 2132 2190 2290 2336 2400 2460 2496 2600 2624 2665 2748 2847 2920 2977 2993 3000 3075 3120 3198 3250 3280 3435 3504 3650 3664 3796 3900 3936 4000 4100 4160 4264 4380 4580 4672 4745 4800 4875 4920 5125 5200 5330 5475 5496 5694 5725 5840 5954 5986 6000 6150 6240 6396 6500 6560 6870 7008 7300 7328 7592 7800 7872 7995 8000 8200 8528 8760 8931 8979 9125 9160 9389 9490 9750 9840 10250 10400 10660 10950 10992 11388 11450 11680 11908 11972 12000 12300 12480 12792 13000 13120 13325 13740 14016 14235 14600 14656 14885 14965 15184 15375 15600 15990 16400 16717 17056 17175 17520 17862 17958 18250 18320 18778 18980 19500 19680 20500 20800 21320 21900 21984 22776 22900 23360 23725 23816 23944 24000 24600 25584 26000 26650 27375 27480 28167 28470 28625 29200 29770 29930 30368 30750 31200 31980 32800 33434 34112 34350 35040 35724 35916 36500 36640 37556 37960 38909 39000 39360 39975 41000 42640 43800 43968 44655 44895 45552 45800 46945 47450 47632 47888 49200 50151 51168 52000 53300 54750 54960 56334 56940 57250 58400 59540 59860 60736 61500 62400 63960 65600 66625 66868 68700 70080 71175 71448 71832 73000 73280 74425 74825 75112 75920 77818 78000 79950 82000 83585 85280 85875 87600 89310 89790 91104 91600 93890 94900 95264 95776 98400 100302 102336 104000 106600 109500 109920 112668 113880 114500 116727 116800 118625 119080 119720 122057 123000 127920 133250 133736 137400 140835 142350 142896 143664 146000 148850 149650 150224 151840 155636 156000 159900 164000 167170 170560 171750 175200 178620 179580 182208 183200 187780 189800 190528 191552 194545 196800 199875 200604 213200 217321 219000 219840 223275 224475 225336 227760 229000 233454 234725 237250 238160 239440 244114 246000 250755 255840 266500 267472 274800 281670 284700 285792 287328 292000 297700 299300 300448 303680 311272 312000 319800 328000 334340 343500 350400 355875 357240 359160 366171 366400 372125 374125 375560 379600 389090 399750 401208 417925 426400 434642 438000 446550 448950 450672 455520 458000 466908 469450 474500 476320 478880 488228 492000 501510 511680 533000 534944 549600 563340 569400 571584 574656 583635 584000 595400 598600 600896 610285 622544 639600 651963 668680 685397 687000 704175 711750 714480 718320 732342 744250 748250 751120 759200 778180 799500 802416 835850 852800 869284 876000 893100 897900 901344 911040 916000 933816 938900 949000 952640 957760 972725 976456 984000 1003020 1066000 1069888 1086605 1099200 1116375 1122375 1126680 1138800 1167270 1173625 1190800 1197200 1220570 1245088 1253775 1279200 1303926 1337360 1370794 1374000 1408350 1423500 1428960 1436640 1464684 1488500 1496500 1502240 1518400 1556360 1599000 1604832 1671700 1738568 1752000 1786200 1795800 1802688 1830855 1832000 1867632 1877800 1898000 1945450 1952912 2006040 2056191 2089625 2132000 2173210 2232750 2244750 2253360 2277600 2334540 2347250 2381600 2394400 2441140 2490176 2507550 2558400 2607852 2674720 2741588 2748000 2816700 2847000 2857920 2873280 2918175 2929368 2977000 2993000 3004480 3051425 3112720 3198000 3209664 3259815 3343400 3426985 3477136 3520875 3572400 3591600 3661710 3735264 3755600 3796000 3890900 3905824 4012080 4112382 4179250 4264000 4346420 4465500 4489500 4506720 4555200 4669080 4694500 4763200 4788800 4863625 4882280 5015100 5215704 5349440 5433025 5483176 5496000 5633400 5694000 5836350 5858736 5954000 5986000 6102850 6225440 6268875 6396000 6519630 6686800 6853970 6954272 7041750 7144800 7183200 7323420 7470528 7511200 7592000 7781800 7811648 8024160 8224764 8358500 8692840 8910161 8931000 8979000 9013440 9154275 9338160 9389000 9727250 9764560 10030200 10280955 10431408 10866050 10966352 11266800 11388000 11672700 11717472 11908000 11972000 12205700 12450880 12537750 12792000 13039260 13373600 13707940 13908544 14083500 14289600 14366400 14590875 14646840 15022400 15257125 15563600 16048320 16299075 16449528 16717000 17134925 17385680 17820322 17862000 17958000 18308550 18676320 18778000 19454500 19529120 20060400 20561910 20862816 21732100 21932704 22533600 22776000 23345400 23434944 23816000 23944000 24411400 25075500 26078520 26730483 26747200 27165125 27415880 28167000 29181750 29293680 30514250 31127200 32598150 32899056 33434000 34269850 34771360 35640644 35724000 35916000 36617100 37352640 37556000 38909000 39058240 40120800 41123820 41725632 43464200 43865408 44550805 45067200 45771375 46690800 48822800 50151000 51404775 52157040 53460966 54330250 54831760 56334000 58363500 58587360 61028500 62254400 65196300 65798112 66868000 68539700 69542720 71281288 71448000 71832000 73234200 75112000 77818000 80241600 81495375 82247640 85674625 86928400 89101610 91542750 93381600 97645600 100302000 102809550 104314080 106921932 108660500 109663520 112668000 116727000 117174720 122057000 130392600 131596224 133652415 133736000 137079400 142562576 146468400 155636000 162990750 164495280 171349250 173856800 178203220 183085500 186763200 195291200 200604000 205619100 208628160 213843864 217321000 219327040 222754025 225336000 233454000 244114000 257023875 260785200 267304830 274158800 285125152 292936800 311272000 325981500 328990560 342698500 347713600 356406440 366171000 401208000 411238200 427687728 434642000 445508050 466908000 488228000 514047750 521570400 534609660 548317600 570250304 585873600 651963000 657981120 668262075 685397000 712812880 732342000 822476400 855375456 869284000 891016100 933816000 976456000 1028095500 1043140800 1069219320 1096635200 1113770125 1303926000 1336524150 1370794000 1425625760 1464684000 1644952800 1710750912 1738568000 1782032200 2056191000 2138438640 2227540250 2607852000 2673048300 2741588000 2851251520 2929368000 3289905600 3341310375 3564064400 4112382000 4276877280 4455080500 5215704000 5346096600 5483176000 6682620750 7128128800 8224764000 8553754560 8910161000 10692193200 13365241500 14256257600 16449528000 17820322000 21384386400 26730483000 35640644000 42768772800 53460966000 71281288000 106921932000 213843864000
- Sum of all divisors σ(n): 793094964480
- Sum of proper divisors (its aliquot sum) s(n): 579251100480
- 213843864000 is an abundant number, because the sum of its proper divisors (579251100480) is greater than itself. Its abundance is 365407236480
Bases of 213843864000
- Binary: 110001110010100001011001101001110000002
- Hexadecimal: 0x31CA1669C0
- Base-36: 2Q8L45HC
Squares and roots of 213843864000
- 213843864000 squared (2138438640002) is 45729198170450496000000
- 213843864000 cubed (2138438640003) is 9778908434390864685356544000000000
-
The
square root of 213843864000 is 462432.5507574051 -
The
cube root of 213843864000 is 5979.9689785605
Scales and comparisons
How big is 213843864000?- 213,843,864,000 seconds is equal to 6,799 years, 29 weeks, 5 days, 17 hours, 20 minutes.
-
To count from 1 to 213,843,864,000 would take you about thirteen thousand, five hundred ninety-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 213843864000 cubic inches would be around 498.3 feet tall.
Recreational maths with 213843864000
- 213843864000 backwards is 000468348312
- 213843864000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 213843864000's digits is 39
- More coming soon!
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