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31434404124 = 22310144515827
BaseRepresentation
bin11101010001101000…
…101111000100011100
310000010201101011220210
4131101220233010130
51003334201412444
622235112212420
72161655012034
oct352150570434
9100121334823
1031434404124
11123709a1092
12611339a110
132c6c5cb336
141742b548c4
15c3ea177b9
hex751a2f11c

31434404124 has 48 divisors (see below), whose sum is σ = 74102507136. Its totient is φ = 10370280000.

The previous prime is 31434404117. The next prime is 31434404171. The reversal of 31434404124 is 42140443413.

It is a junction number, because it is equal to n+sod(n) for n = 31434404091 and 31434404100.

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 15 ways as a sum of consecutive naturals, for example, 5391699 + ... + 5397525.

It is an arithmetic number, because the mean of its divisors is an integer number (1543802232).

Almost surely, 231434404124 is an apocalyptic number.

It is an amenable number.

31434404124 is an abundant number, since it is smaller than the sum of its proper divisors (42668103012).

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

31434404124 is a wasteful number, since it uses less digits than its factorization.

31434404124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10386 (or 10384 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 31434404124 its reverse (42140443413), we get a palindrome (73574847537).

The spelling of 31434404124 in words is "thirty-one billion, four hundred thirty-four million, four hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 4451 5827 8902 11654 13353 17481 17804 23308 26706 34962 53412 69924 449551 588527 899102 1177054 1348653 1765581 1798204 2354108 2697306 3531162 5394612 7062324 25935977 51871954 77807931 103743908 155615862 311231724 2619533677 5239067354 7858601031 10478134708 15717202062 31434404124