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107144141444 = 2240965491529
BaseRepresentation
bin110001111001001001…
…0011101101010000100
3101020120001121022220222
41203302102131222010
53223412400011234
6121115450443512
710512063114134
oct1436222355204
9336501538828
10107144141444
114149209032a
1218922433598
13a146942a82
145285bbcac4
152bc152742e
hex18f249da84

107144141444 has 12 divisors (see below), whose sum is σ = 187960691100. Its totient is φ = 53441086848.

The previous prime is 107144141431. The next prime is 107144141453. The reversal of 107144141444 is 444141441701.

It can be written as a sum of positive squares in 2 ways, for example, as 52335712900 + 54808428544 = 228770^2 + 234112^2 .

It is a super-2 number, since 2×1071441414442 (a number of 23 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 32744129 + ... + 32747400.

It is an arithmetic number, because the mean of its divisors is an integer number (15663390925).

Almost surely, 2107144141444 is an apocalyptic number.

It is an amenable number.

107144141444 is a deficient number, since it is larger than the sum of its proper divisors (80816549656).

107144141444 is a wasteful number, since it uses less digits than its factorization.

107144141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65491942 (or 65491940 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The spelling of 107144141444 in words is "one hundred seven billion, one hundred forty-four million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 409 818 1636 65491529 130983058 261966116 26786035361 53572070722 107144141444