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34311467205642 = 23111576415165801
BaseRepresentation
bin1111100110100110000101…
…10100001000010000001010
311111111010220010212220001110
413303103002310020100022
513444124341101040032
6200550245340231150
710140631100100264
oct763230264102012
9144433803786043
1034311467205642
11aa29458815280
123a21960b3b4b6
13161b732a03163
14868980798b34
153e77c001d7cc
hex1f34c2d0840a

34311467205642 has 64 divisors (see below), whose sum is σ = 75455754000768. Its totient is φ = 10315069440000.

The previous prime is 34311467205599. The next prime is 34311467205647. The reversal of 34311467205642 is 24650276411343.

It is a junction number, because it is equal to n+sod(n) for n = 34311467205591 and 34311467205600.

It is not an unprimeable number, because it can be changed into a prime (34311467205647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4059142 + ... + 9224942.

It is an arithmetic number, because the mean of its divisors is an integer number (1178996156262).

Almost surely, 234311467205642 is an apocalyptic number.

34311467205642 is an abundant number, since it is smaller than the sum of its proper divisors (41144286795126).

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

34311467205642 is a wasteful number, since it uses less digits than its factorization.

34311467205642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166615.

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 34311467205642 in words is "thirty-four trillion, three hundred eleven billion, four hundred sixty-seven million, two hundred five thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 157 314 471 641 942 1282 1727 1923 3454 3846 5181 7051 10362 14102 21153 42306 100637 201274 301911 603822 1107007 2214014 3321021 5165801 6642042 10331602 15497403 30994806 56823811 113647622 170471433 340942866 811030757 1622061514 2433092271 3311278441 4866184542 6622556882 8921338327 9933835323 17842676654 19867670646 26764014981 36424062851 53528029962 72848125702 109272188553 218544377106 519870715237 1039741430474 1559612145711 3119224291422 5718577867607 11437155735214 17155733602821 34311467205642