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34091142642 = 2327331183423
BaseRepresentation
bin11111101111111111…
…011000110111110010
310020222212111111000200
4133233333120313302
51024304313031032
623354455300030
72314544634264
oct375777306762
9106885444020
1034091142642
111350461a057
12673507a616
1332a3b4886b
141915925b34
15d47da447c
hex7effd8df2

34091142642 has 48 divisors (see below), whose sum is σ = 75117639168. Its totient is φ = 11171874240.

The previous prime is 34091142637. The next prime is 34091142677. The reversal of 34091142642 is 24624119043.

34091142642 is a `hidden beast` number, since 3 + 4 + 0 + 9 + 1 + 1 + 4 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34091142597 and 34091142606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366943 + ... + 450365.

It is an arithmetic number, because the mean of its divisors is an integer number (1564950816).

Almost surely, 234091142642 is an apocalyptic number.

34091142642 is an abundant number, since it is smaller than the sum of its proper divisors (41026496526).

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

34091142642 is a wasteful number, since it uses less digits than its factorization.

34091142642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83815 (or 83812 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 34091142642 in words is "thirty-four billion, ninety-one million, one hundred forty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 73 146 219 311 438 622 657 933 1314 1866 2799 5598 22703 45406 68109 83423 136218 166846 204327 250269 408654 500538 750807 1501614 6089879 12179758 18269637 25944553 36539274 51889106 54808911 77833659 109617822 155667318 233500977 467001954 1893952369 3787904738 5681857107 11363714214 17045571321 34091142642