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34431404102232 = 2331784390696329
BaseRepresentation
bin1111101010000101011111…
…00111000101001001011000
311111220121110202022111221120
413311002233213011021120
514003111003422232412
6201121322500205240
710152405201641604
oct765025747051130
9144817422274846
1034431404102232
11aa75304a99915
123a41053699820
131629b37ac4b17
148706bb596504
153ea98e6abb8c
hex1f50af9c5258

34431404102232 has 32 divisors (see below), whose sum is σ = 91141952036400. Its totient is φ = 10802009129984.

The previous prime is 34431404102219. The next prime is 34431404102309. The reversal of 34431404102232 is 23220140413443.

It is a junction number, because it is equal to n+sod(n) for n = 34431404102193 and 34431404102202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42195347757 + ... + 42195348572.

Almost surely, 234431404102232 is an apocalyptic number.

It is an amenable number.

34431404102232 is an abundant number, since it is smaller than the sum of its proper divisors (56710547934168).

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

34431404102232 is a wasteful number, since it uses less digits than its factorization.

34431404102232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84390696355 (or 84390696351 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 34431404102232 its reverse (23220140413443), we get a palindrome (57651544515675).

The spelling of 34431404102232 in words is "thirty-four trillion, four hundred thirty-one billion, four hundred four million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 84390696329 168781392658 253172088987 337562785316 506344177974 675125570632 1012688355948 1434641837593 2025376711896 2869283675186 4303925512779 5738567350372 8607851025558 11477134700744 17215702051116 34431404102232