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17142030444 = 2237211173147107
BaseRepresentation
bin11111111011011111…
…01010000001101100
31122020122202101001110
433331233222001230
5240101324433234
611512553112020
71144536566100
oct177557520154
948218671043
1017142030444
1172a7258210
1233a49b8610
1318025619a6
14b888d1900
156a4dd01e9
hex3fdbea06c

17142030444 has 576 divisors, whose sum is σ = 57187565568. Its totient is φ = 3932006400.

The previous prime is 17142030439. The next prime is 17142030511. The reversal of 17142030444 is 44403024171.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160205839 + ... + 160205945.

It is an arithmetic number, because the mean of its divisors is an integer number (99283968).

Almost surely, 217142030444 is an apocalyptic number.

17142030444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17142030444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28593782784).

17142030444 is an abundant number, since it is smaller than the sum of its proper divisors (40045535124).

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

17142030444 is a wasteful number, since it uses less digits than its factorization.

17142030444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 17142030444 in words is "seventeen billion, one hundred forty-two million, thirty thousand, four hundred forty-four".