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21214143240 = 2335618932563
BaseRepresentation
bin10011110000011101…
…100010001100001000
32000202110011010122220
4103300131202030020
5321421310040430
613425020414040
71350464146053
oct236035421410
960673133586
1021214143240
118aa6915894
1241406a7320
1320010b17a4
141053657a9a
1584264c110
hex4f0762308

21214143240 has 128 divisors (see below), whose sum is σ = 65414563200. Its totient is φ = 5501675520.

The previous prime is 21214143233. The next prime is 21214143259. The reversal of 21214143240 is 4234141212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21214143240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635199 + ... + 667761.

It is an arithmetic number, because the mean of its divisors is an integer number (511051275).

Almost surely, 221214143240 is an apocalyptic number.

21214143240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21214143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32707281600).

21214143240 is an abundant number, since it is smaller than the sum of its proper divisors (44200419960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21214143240 is a wasteful number, since it uses less digits than its factorization.

21214143240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32727 (or 32723 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21214143240 its reverse (4234141212), we get a palindrome (25448284452).

The spelling of 21214143240 in words is "twenty-one billion, two hundred fourteen million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 89 120 122 178 183 244 267 305 356 366 445 488 534 610 712 732 890 915 1068 1220 1335 1464 1780 1830 2136 2440 2670 3560 3660 5340 5429 7320 10680 10858 16287 21716 27145 32563 32574 43432 54290 65126 65148 81435 97689 108580 130252 130296 162815 162870 195378 217160 260504 325630 325740 390756 488445 651260 651480 781512 976890 1302520 1953780 1986343 2898107 3907560 3972686 5796214 5959029 7945372 8694321 9931715 11592428 11918058 14490535 15890744 17388642 19863430 23184856 23836116 28981070 29795145 34777284 39726860 43471605 47672232 57962140 59590290 69554568 79453720 86943210 115924280 119180580 173886420 176784527 238361160 347772840 353569054 530353581 707138108 883922635 1060707162 1414276216 1767845270 2121414324 2651767905 3535690540 4242828648 5303535810 7071381080 10607071620 21214143240