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31414414000 = 245315707207
BaseRepresentation
bin11101010000011100…
…011110101010110000
310000002022202120121211
4131100130132222300
51003314042222000
622233115525504
72161323053554
oct352034365260
9100068676554
1031414414000
1112360688222
126108759894
132c6841c568
14174022d864
15c3cdb97ba
hex75071eab0

31414414000 has 40 divisors (see below), whose sum is σ = 75960057888. Its totient is φ = 12565764800.

The previous prime is 31414413967. The next prime is 31414414039. The reversal of 31414414000 is 41441413.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 7851604 + ... + 7855603.

Almost surely, 231414414000 is an apocalyptic number.

It is an amenable number.

31414414000 is an abundant number, since it is smaller than the sum of its proper divisors (44545643888).

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

31414414000 is a wasteful number, since it uses less digits than its factorization.

31414414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15707230 (or 15707214 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 31414414000 its reverse (41441413), we get a palindrome (31455855413).

The spelling of 31414414000 in words is "thirty-one billion, four hundred fourteen million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 15707207 31414414 62828828 78536035 125657656 157072070 251315312 314144140 392680175 628288280 785360350 1256576560 1570720700 1963400875 3141441400 3926801750 6282882800 7853603500 15707207000 31414414000