Search a number
-
+
214677353104384 = 2104578712
BaseRepresentation
bin110000110011111101110111…
…010111111000010000000000
31001011002221202211220220122011
4300303331313113320100000
5211114233204343320014
62040325225312222304
763134632636246102
oct6063756727702000
91034087684826564
10214677353104384
1162448177222775
12200b1aab23a994
1392a2cab7c2ac1
143b02621743572
1519c43b5c337c4
hexc33f775f8400

214677353104384 has 33 divisors (see below), whose sum is σ = 429145997620111. Its totient is φ = 107338442122240.

The previous prime is 214677353104369. The next prime is 214677353104393. The reversal of 214677353104384 is 483401353776412.

The square root of 214677353104384 is 14651872.

It is a perfect power (a square), and thus also a powerful number.

214677353104384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 468630969 + ... + 469088839.

Almost surely, 2214677353104384 is an apocalyptic number.

214677353104384 is the 14651872-nd square number.

It is an amenable number.

214677353104384 is a deficient number, since it is larger than the sum of its proper divisors (214468644515727).

214677353104384 is an frugal number, since it uses more digits than its factorization.

214677353104384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915762 (or 457873 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 58.

The spelling of 214677353104384 in words is "two hundred fourteen trillion, six hundred seventy-seven billion, three hundred fifty-three million, one hundred four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 457871 915742 1831484 3662968 7325936 14651872 29303744 58607488 117214976 234429952 468859904 209645852641 419291705282 838583410564 1677166821128 3354333642256 6708667284512 13417334569024 26834669138048 53669338276096 107338676552192 214677353104384