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14141438370 = 2325198269847
BaseRepresentation
bin11010010101110010…
…10011100110100010
31100111112121111112200
431022321103212202
5212430202011440
610255124034030
71010303146203
oct151271234642
940445544480
1014141438370
115aa7522a54
1228a7b32916
131444a00b17
149821b35aa
1557b770c30
hex34ae539a2

14141438370 has 48 divisors (see below), whose sum is σ = 38702888640. Its totient is φ = 3572573472.

The previous prime is 14141438359. The next prime is 14141438431. The reversal of 14141438370 is 7383414141.

14141438370 is a `hidden beast` number, since 14 + 141 + 438 + 3 + 70 = 666.

14141438370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4133214 + ... + 4136633.

It is an arithmetic number, because the mean of its divisors is an integer number (806310180).

Almost surely, 214141438370 is an apocalyptic number.

14141438370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14141438370 is an abundant number, since it is smaller than the sum of its proper divisors (24561450270).

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

14141438370 is a wasteful number, since it uses less digits than its factorization.

14141438370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269879 (or 8269876 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14141438370 in words is "fourteen billion, one hundred forty-one million, four hundred thirty-eight thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 8269847 16539694 24809541 41349235 49619082 74428623 82698470 124047705 148857246 157127093 248095410 314254186 372143115 471381279 744286230 785635465 942762558 1414143837 1571270930 2356906395 2828287674 4713812790 7070719185 14141438370