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14205053412 = 223211296591877
BaseRepresentation
bin11010011101010111…
…11110100111100100
31100122222022110222100
431032223332213210
5213042443202122
610305315332100
71012004650614
oct151653764744
940588273870
1014205053412
11602a422970
1229052b1030
131454c45364
1498a812a44
15582139aac
hex34eafe9e4

14205053412 has 144 divisors (see below), whose sum is σ = 40605364800. Its totient is φ = 4147610880.

The previous prime is 14205053411. The next prime is 14205053417. The reversal of 14205053412 is 21435050241.

14205053412 is a `hidden beast` number, since 142 + 0 + 505 + 3 + 4 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (14205053411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7567018 + ... + 7568894.

It is an arithmetic number, because the mean of its divisors is an integer number (281981700).

Almost surely, 214205053412 is an apocalyptic number.

14205053412 is a gapful number since it is divisible by the number (12) 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 14205053412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20302682400).

14205053412 is an abundant number, since it is smaller than the sum of its proper divisors (26400311388).

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

14205053412 is a wasteful number, since it uses less digits than its factorization.

14205053412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 14205053412 in words is "fourteen billion, two hundred five million, fifty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 659 957 1044 1276 1318 1877 1914 1977 2636 2871 3754 3828 3954 5631 5742 5931 7249 7508 7908 11262 11484 11862 14498 16893 19111 20647 21747 22524 23724 28996 33786 38222 41294 43494 54433 57333 61941 65241 67572 76444 82588 86988 108866 114666 123882 130482 163299 171999 185823 210221 217732 229332 247764 260964 326598 343998 371646 420442 489897 598763 630663 653196 687996 743292 840884 979794 1197526 1236943 1261326 1796289 1891989 1959588 2395052 2473886 2522652 3592578 3710829 3783978 4947772 5388867 7185156 7421658 7567956 10777734 11132487 13606373 14843316 21555468 22264974 27212746 35871347 40819119 44529948 54425492 71742694 81638238 107614041 122457357 143485388 163276476 215228082 244914714 322842123 394584817 430456164 489829428 645684246 789169634 1183754451 1291368492 1578339268 2367508902 3551263353 4735017804 7102526706 14205053412