Search a number
-
+
214521016971204 = 223240170192117131
BaseRepresentation
bin110000110001101100010001…
…000000110110111111000100
31001010120000020111220111001100
4300301230101000312333010
5211104203020321034304
62040125332242300100
763120426532115256
oct6061542100667704
91033500214814040
10214521016971204
116239794158aa19
122008773a657630
139291325638318
143ad8c30685cd6
1519c02b5c71439
hexc31b11036fc4

214521016971204 has 72 divisors (see below), whose sum is σ = 543691438224480. Its totient is φ = 71318488032000.

The previous prime is 214521016971203. The next prime is 214521016971223. The reversal of 214521016971204 is 402179610125412.

It is a happy number.

214521016971204 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 210 + 169 + 71 + 204 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 214521016971204.

It is not an unprimeable number, because it can be changed into a prime (214521016971203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100267719 + ... + 102384849.

It is an arithmetic number, because the mean of its divisors is an integer number (7551269975340).

Almost surely, 2214521016971204 is an apocalyptic number.

It is an amenable number.

214521016971204 is an abundant number, since it is smaller than the sum of its proper divisors (329170421253276).

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

214521016971204 is a wasteful number, since it uses less digits than its factorization.

214521016971204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124561 (or 2124556 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 214521016971204 in words is "two hundred fourteen trillion, five hundred twenty-one billion, sixteen million, nine hundred seventy-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 401 802 1203 1604 2406 3609 4812 7019 7218 14038 14436 21057 28076 42114 63171 84228 126342 252684 2117131 2814619 4234262 5629238 6351393 8443857 8468524 11258476 12702786 16887714 19054179 25331571 25405572 33775428 38108358 50663142 76216716 101326284 848969531 1697939062 2546908593 3395878124 5093817186 7640725779 10187634372 14860142489 15281451558 29720284978 30562903116 44580427467 59440569956 89160854934 133741282401 178321709868 267482564802 534965129604 5958917138089 11917834276178 17876751414267 23835668552356 35753502828534 53630254242801 71507005657068 107260508485602 214521016971204