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34412332441432 = 231117106272164571
BaseRepresentation
bin1111101001100001111101…
…10110011101111101011000
311111211210020121121202200011
413310300332312131331120
514002302424101111212
6201104450212251304
710151131451334151
oct764607666357530
9144753217552604
1034412332441432
11aa68208598880
123a39410610b34
1316280b885692a
1486d7cc6c6928
153ea2251b94a7
hex1f4c3ed9df58

34412332441432 has 64 divisors (see below), whose sum is σ = 74536430739840. Its totient is φ = 14720461324800.

The previous prime is 34412332441373. The next prime is 34412332441433. The reversal of 34412332441432 is 23414423321443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412332441433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14815707 + ... + 16980277.

It is an arithmetic number, because the mean of its divisors is an integer number (1164631730310).

Almost surely, 234412332441432 is an apocalyptic number.

It is an amenable number.

34412332441432 is an abundant number, since it is smaller than the sum of its proper divisors (40124098298408).

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

34412332441432 is a wasteful number, since it uses less digits than its factorization.

34412332441432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175232 (or 2175228 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

Adding to 34412332441432 its reverse (23414423321443), we get a palindrome (57826755762875).

The spelling of 34412332441432 in words is "thirty-four trillion, four hundred twelve billion, three hundred thirty-two million, four hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1496 10627 21254 42508 85016 116897 180659 233794 361318 467588 722636 935176 1445272 1987249 2164571 3974498 4329142 7948996 8658284 15897992 17316568 23810281 36797707 47620562 73595414 95241124 147190828 190482248 294381656 404774777 809549554 1619099108 3238198216 23002896017 46005792034 92011584068 184023168136 253031856187 391049232289 506063712374 782098464578 1012127424748 1564196929156 2024254849496 3128393858312 4301541555179 8603083110358 17206166220716 34412332441432