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214119508158 = 2343735722307
BaseRepresentation
bin1100011101101010000…
…1000110100010111110
3202110200100122000110000
43013122201012202332
512002004043230113
6242210512055130
721320036534553
oct3073241064276
9673610560400
10214119508158
1182897975706
12355b82344a6
131726461212a
14a5133c6a2a
155882d12373
hex31da8468be

214119508158 has 40 divisors (see below), whose sum is σ = 492753516552. Its totient is φ = 69444162864.

The previous prime is 214119508157. The next prime is 214119508217. The reversal of 214119508158 is 851805911412.

214119508158 is a `hidden beast` number, since 2 + 14 + 119 + 508 + 15 + 8 = 666.

214119508158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214119508151) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 17855160 + ... + 17867147.

Almost surely, 2214119508158 is an apocalyptic number.

214119508158 is an abundant number, since it is smaller than the sum of its proper divisors (278634008394).

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

214119508158 is a wasteful number, since it uses less digits than its factorization.

214119508158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35722358 (or 35722349 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

It can be divided in two parts, 21411 and 9508158, that added together give a square (9529569 = 30872).

The spelling of 214119508158 in words is "two hundred fourteen billion, one hundred nineteen million, five hundred eight thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1998 2997 5994 35722307 71444614 107166921 214333842 321500763 643001526 964502289 1321725359 1929004578 2643450718 2893506867 3965176077 5787013734 7930352154 11895528231 23791056462 35686584693 71373169386 107059754079 214119508158