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34040552112 = 24327113298853
BaseRepresentation
bin11111101100111110…
…011001101010110000
310020212100022012212100
4133230332121222300
51024203340131422
623345451100400
72313361630110
oct375476315260
9106770265770
1034040552112
11134890056a6
126720141700
133296514738
14190cd17040
15d4370e7ac
hex7ecf99ab0

34040552112 has 120 divisors (see below), whose sum is σ = 109839603744. Its totient is φ = 9639770112.

The previous prime is 34040552093. The next prime is 34040552131. The reversal of 34040552112 is 21125504043.

34040552112 is a `hidden beast` number, since 3 + 40 + 405 + 5 + 211 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34040552093) and next prime (34040552131).

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, 35523 + ... + 263330.

Almost surely, 234040552112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34040552112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54919801872).

34040552112 is an abundant number, since it is smaller than the sum of its proper divisors (75799051632).

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

34040552112 is a wasteful number, since it uses less digits than its factorization.

34040552112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298987 (or 298978 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 34040552112 in words is "thirty-four billion, forty million, five hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 113 126 144 168 226 252 336 339 452 504 678 791 904 1008 1017 1356 1582 1808 2034 2373 2712 3164 4068 4746 5424 6328 7119 8136 9492 12656 14238 16272 18984 28476 37968 56952 113904 298853 597706 896559 1195412 1793118 2091971 2390824 2689677 3586236 4183942 4781648 5379354 6275913 7172472 8367884 10758708 12551826 14344944 16735768 18827739 21517416 25103652 33471536 33770389 37655478 43034832 50207304 67540778 75310956 100414608 101311167 135081556 150621912 202622334 236392723 270163112 301243824 303933501 405244668 472785446 540326224 607867002 709178169 810489336 945570892 1215734004 1418356338 1620978672 1891141784 2127534507 2431468008 2836712676 3782283568 4255069014 4862936016 5673425352 8510138028 11346850704 17020276056 34040552112