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33014145042 = 2329771877297
BaseRepresentation
bin11110101111110010…
…111110000000010010
310011012210221100001200
4132233302332000102
51020103110120132
623055543412030
72246056413504
oct365762760022
9104183840050
1033014145042
111300169589a
126494454016
13316198ca88
141852893d74
15cd3563d7c
hex7afcbe012

33014145042 has 24 divisors (see below), whose sum is σ = 71603900316. Its totient is φ = 10993445376.

The previous prime is 33014145037. The next prime is 33014145107. The reversal of 33014145042 is 24054141033.

It is a happy number.

33014145042 is a `hidden beast` number, since 3 + 30 + 141 + 450 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21987254961 + 11026890081 = 148281^2 + 105009^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33014144997 and 33014145015.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 921063 + ... + 956234.

Almost surely, 233014145042 is an apocalyptic number.

33014145042 is an abundant number, since it is smaller than the sum of its proper divisors (38589755274).

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

33014145042 is a wasteful number, since it uses less digits than its factorization.

33014145042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878282 (or 1878279 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 33014145042 its reverse (24054141033), we get a palindrome (57068286075).

The spelling of 33014145042 in words is "thirty-three billion, fourteen million, one hundred forty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 977 1954 2931 5862 8793 17586 1877297 3754594 5631891 11263782 16895673 33791346 1834119169 3668238338 5502357507 11004715014 16507072521 33014145042