Search a number
-
+
214172660763 = 3410348615281
BaseRepresentation
bin1100011101110110101…
…1110111010000011011
3202110211001122110010000
43013131223313100123
512002111200121023
6242220051224043
721321253402455
oct3073553672033
9673731573100
10214172660763
1182914979a86
1235611ba8023
1317272632489
14a51a4a12d5
155887811243
hex31ddaf741b

214172660763 has 40 divisors (see below), whose sum is σ = 323170761056. Its totient is φ = 141339686400.

The previous prime is 214172660761. The next prime is 214172660773. The reversal of 214172660763 is 367066271412.

214172660763 is a `hidden beast` number, since 2 + 1 + 4 + 17 + 26 + 607 + 6 + 3 = 666.

It is not a de Polignac number, because 214172660763 - 21 = 214172660761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214172660761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40552683 + ... + 40557963.

Almost surely, 2214172660763 is an apocalyptic number.

214172660763 is a deficient number, since it is larger than the sum of its proper divisors (108998100293).

214172660763 is a wasteful number, since it uses less digits than its factorization.

214172660763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10257 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 214172660763 in words is "two hundred fourteen billion, one hundred seventy-two million, six hundred sixty thousand, seven hundred sixty-three".

Divisors: 1 3 9 27 81 103 309 927 2781 4861 5281 8343 14583 15843 43749 47529 131247 142587 393741 427761 500683 543943 1502049 1631829 4506147 4895487 13518441 14686461 25670941 40555323 44059383 77012823 231038469 693115407 2079346221 2644106923 7932320769 23796962307 71390886921 214172660763