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104034314112 = 2731715936629
BaseRepresentation
bin110000011100011101…
…1011010011110000000
3100221112022220201210220
41200320323122132000
53201030241022422
6115443120223040
710342032036141
oct1407073323600
9327468821726
10104034314112
1140136726aa3
12181b4a6aa80
139a6c586961
14506cb87ac8
152a8d4dbe5c
hex1838eda780

104034314112 has 64 divisors (see below), whose sum is σ = 292596526800. Its totient is φ = 32638214144.

The previous prime is 104034314107. The next prime is 104034314159. The reversal of 104034314112 is 211413430401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1040343141123 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 7961787 + ... + 7974842.

Almost surely, 2104034314112 is an apocalyptic number.

104034314112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104034314112 is an abundant number, since it is smaller than the sum of its proper divisors (188562212688).

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

104034314112 is a wasteful number, since it uses less digits than its factorization.

104034314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15936663 (or 15936651 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 104034314112 its reverse (211413430401), we get a palindrome (315447744513).

The spelling of 104034314112 in words is "one hundred four billion, thirty-four million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 15936629 31873258 47809887 63746516 95619774 127493032 191239548 254986064 270922693 382479096 509972128 541845386 764958192 812768079 1019944256 1083690772 1529916384 1625536158 2039888512 2167381544 3059832768 3251072316 4334763088 6119665536 6502144632 8669526176 13004289264 17339052352 26008578528 34678104704 52017157056 104034314112