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21431396304 = 24325312722111
BaseRepresentation
bin10011111101011010…
…010010011111010000
32001022120221201211200
4103331122102133100
5322342414140204
613502341111200
71356042601653
oct237532223720
961276851750
1021431396304
1190a851227a
1241a13b8500
1320370c9ab6
14107444b89a
15856763539
hex4fd6927d0

21431396304 has 120 divisors (see below), whose sum is σ = 61593772032. Its totient is φ = 6953506560.

The previous prime is 21431396293. The next prime is 21431396323. The reversal of 21431396304 is 40369313412.

21431396304 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 13 + 9 + 630 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 958209 + ... + 980319.

Almost surely, 221431396304 is an apocalyptic number.

21431396304 is a gapful number since it is divisible by the number (24) 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 21431396304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30796886016).

21431396304 is an abundant number, since it is smaller than the sum of its proper divisors (40162375728).

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

21431396304 is a wasteful number, since it uses less digits than its factorization.

21431396304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22305 (or 22296 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 21431396304 in words is "twenty-one billion, four hundred thirty-one million, three hundred ninety-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 127 144 159 212 254 318 381 424 477 508 636 762 848 954 1016 1143 1272 1524 1908 2032 2286 2544 3048 3816 4572 6096 6731 7632 9144 13462 18288 20193 22111 26924 40386 44222 53848 60579 66333 80772 88444 107696 121158 132666 161544 176888 198999 242316 265332 323088 353776 397998 484632 530664 795996 969264 1061328 1171883 1591992 2343766 2808097 3183984 3515649 4687532 5616194 7031298 8424291 9375064 10546947 11232388 14062596 16848582 18750128 21093894 22464776 25272873 28125192 33697164 42187788 44929552 50545746 56250384 67394328 84375576 101091492 134788656 148829141 168751152 202182984 297658282 404365968 446487423 595316564 892974846 1190633128 1339462269 1785949692 2381266256 2678924538 3571899384 5357849076 7143798768 10715698152 21431396304