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34141220434044 = 22322773833893219
BaseRepresentation
bin1111100001101000111110…
…10100001111000001111100
311110212212110100112210221100
413300310133110033001330
513433332204412342134
6200340132105133100
710122423161314353
oct760643724170174
9143785410483840
1034141220434044
11a973234969a39
1239b496978a190
1316086708c6c99
1486063004699a
153e3158bca999
hex1f0d1f50f07c

34141220434044 has 72 divisors (see below), whose sum is σ = 86635669433040. Its totient is φ = 11336351277312.

The previous prime is 34141220433907. The next prime is 34141220434063. The reversal of 34141220434044 is 44043402214143.

34141220434044 is a `hidden beast` number, since 3 + 4 + 1 + 41 + 2 + 204 + 3 + 404 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 37776067 + ... + 38669285.

It is an arithmetic number, because the mean of its divisors is an integer number (1203273186570).

Almost surely, 234141220434044 is an apocalyptic number.

It is an amenable number.

34141220434044 is an abundant number, since it is smaller than the sum of its proper divisors (52494448998996).

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

34141220434044 is a wasteful number, since it uses less digits than its factorization.

34141220434044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897339 (or 897334 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 34141220434044 its reverse (44043402214143), we get a palindrome (78184622648187).

The spelling of 34141220434044 in words is "thirty-four trillion, one hundred forty-one billion, two hundred twenty million, four hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 277 554 831 1108 1662 2493 3324 3833 4986 7666 9972 11499 15332 22998 34497 45996 68994 137988 893219 1061741 1786438 2123482 2679657 3185223 3572876 4246964 5359314 6370446 8038971 9555669 10718628 12740892 16077942 19111338 32155884 38222676 247421663 494843326 742264989 989686652 1484529978 2226794967 2969059956 3423708427 4453589934 6847416854 8907179868 10271125281 13694833708 20542250562 30813375843 41084501124 61626751686 123253503372 948367234279 1896734468558 2845101702837 3793468937116 5690203405674 8535305108511 11380406811348 17070610217022 34141220434044