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31434043104 = 2532109145983
BaseRepresentation
bin11101010001100111…
…010110111011100000
310000010200200211200200
4131101213112323200
51003334103334404
622235100345200
72161651646352
oct352147267340
9100120624620
1031434043104
1112370774922
126113245200
132c6c502c09
141742a9d0d2
15c3e995839
hex7519d6ee0

31434043104 has 36 divisors (see below), whose sum is σ = 89390560896. Its totient is φ = 10478014272.

The previous prime is 31434043087. The next prime is 31434043129. The reversal of 31434043104 is 40134043413.

31434043104 is a `hidden beast` number, since 3 + 1 + 4 + 340 + 4 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 54572704 + ... + 54573279.

It is an arithmetic number, because the mean of its divisors is an integer number (2483071136).

Almost surely, 231434043104 is an apocalyptic number.

It is an amenable number.

31434043104 is an abundant number, since it is smaller than the sum of its proper divisors (57956517792).

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

31434043104 is a wasteful number, since it uses less digits than its factorization.

31434043104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109145999 (or 109145988 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31434043104 its reverse (40134043413), we get a palindrome (71568086517).

The spelling of 31434043104 in words is "thirty-one billion, four hundred thirty-four million, forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 109145983 218291966 327437949 436583932 654875898 873167864 982313847 1309751796 1746335728 1964627694 2619503592 3492671456 3929255388 5239007184 7858510776 10478014368 15717021552 31434043104