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34142431024 = 2413612690923
BaseRepresentation
bin11111110011000011…
…000010011100110000
310021010110000012110101
4133303003002130300
51024410430243044
623403530442144
72316036606142
oct376303023460
9107113005411
1034142431024
111353056a849
12674a293354
1332b1665510
14191c676c92
15d4c635cd4
hex7f30c2730

34142431024 has 40 divisors (see below), whose sum is σ = 72407382992. Its totient is φ = 15499710720.

The previous prime is 34142431019. The next prime is 34142431027. The reversal of 34142431024 is 42013424143.

It is a junction number, because it is equal to n+sod(n) for n = 34142430983 and 34142431001.

It is not an unprimeable number, because it can be changed into a prime (34142431027) by changing a digit.

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, 1332774 + ... + 1358149.

Almost surely, 234142431024 is an apocalyptic number.

It is an amenable number.

34142431024 is an abundant number, since it is smaller than the sum of its proper divisors (38264951968).

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

34142431024 is a wasteful number, since it uses less digits than its factorization.

34142431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691005 (or 2690999 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34142431024 its reverse (42013424143), we get a palindrome (76155855167).

The spelling of 34142431024 in words is "thirty-four billion, one hundred forty-two million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 793 976 1586 3172 6344 12688 2690923 5381846 10763692 21527384 34981999 43054768 69963998 139927996 164146303 279855992 328292606 559711984 656585212 1313170424 2133901939 2626340848 4267803878 8535607756 17071215512 34142431024