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34044434102424 = 23343320809157433
BaseRepresentation
bin1111011110110100101100…
…11001101011100010011000
311110112121122010222201221110
413233122112121223202120
513430241000112234144
6200223444102140320
710112425546134414
oct757322631534230
9143477563881843
1034044434102424
11a936188572519
12399a0581216a0
1315cc4b7b30585
14859a8bb2bd44
153e0891b8e0b9
hex1ef69666b898

34044434102424 has 64 divisors (see below), whose sum is σ = 85312288101600. Its totient is φ = 11321320513536.

The previous prime is 34044434102411. The next prime is 34044434102431. The reversal of 34044434102424 is 42420143444043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216168412 + ... + 216325844.

Almost surely, 234044434102424 is an apocalyptic number.

It is an amenable number.

34044434102424 is an abundant number, since it is smaller than the sum of its proper divisors (51267853999176).

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

34044434102424 is a wasteful number, since it uses less digits than its factorization.

34044434102424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178684 (or 178680 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 34044434102424 its reverse (42420143444043), we get a palindrome (76464577546467).

The spelling of 34044434102424 in words is "thirty-four trillion, forty-four billion, four hundred thirty-four million, one hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 433 866 1299 1732 2598 3464 5196 10392 20809 41618 62427 83236 124854 157433 166472 249708 314866 472299 499416 629732 944598 1259464 1889196 3778392 9010297 18020594 27030891 36041188 54061782 68168489 72082376 108123564 136336978 204505467 216247128 272673956 409010934 545347912 818021868 1636043736 3276023297 6552046594 9828069891 13104093188 19656139782 26208186376 39312279564 78624559128 1418518087601 2837036175202 4255554262803 5674072350404 8511108525606 11348144700808 17022217051212 34044434102424