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31434142104 = 23323114083397
BaseRepresentation
bin11101010001100111…
…101111000110011000
310000010200212212111100
4131101213233012120
51003334120021404
622235102431400
72161652541111
oct352147570630
9100120785440
1031434142104
1112370832242
126113292560
132c6c538cb1
141742ac7208
15c3e9b4d39
hex7519ef198

31434142104 has 48 divisors (see below), whose sum is σ = 87880403520. Its totient is φ = 10140045120.

The previous prime is 31434142063. The next prime is 31434142163. The reversal of 31434142104 is 40124143413.

31434142104 is a `hidden beast` number, since 3 + 1 + 434 + 14 + 210 + 4 = 666.

It is a congruent number.

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, 7039467 + ... + 7043930.

It is an arithmetic number, because the mean of its divisors is an integer number (1830841740).

Almost surely, 231434142104 is an apocalyptic number.

It is an amenable number.

31434142104 is an abundant number, since it is smaller than the sum of its proper divisors (56446261416).

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

31434142104 is a wasteful number, since it uses less digits than its factorization.

31434142104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14083440 (or 14083433 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31434142104 its reverse (40124143413), we get a palindrome (71558285517).

The spelling of 31434142104 in words is "thirty-one billion, four hundred thirty-four million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 14083397 28166794 42250191 56333588 84500382 112667176 126750573 169000764 253501146 338001528 436585307 507002292 873170614 1014004584 1309755921 1746341228 2619511842 3492682456 3929267763 5239023684 7858535526 10478047368 15717071052 31434142104