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34121599974 = 2337112746023
BaseRepresentation
bin11111110001110011…
…100100101111100110
310021001222210212122000
4133301303210233212
51024340112144344
623401504150130
72315364546210
oct376163445746
9107058725560
1034121599974
111351a832100
126743308346
1332aa250a57
1419199b35b0
15d4a8bda69
hex7f1ce4be6

34121599974 has 96 divisors (see below), whose sum is σ = 95252344320. Its totient is φ = 8862741360.

The previous prime is 34121599961. The next prime is 34121599979. The reversal of 34121599974 is 47999512143.

34121599974 is a `hidden beast` number, since 3 + 41 + 2 + 1 + 599 + 9 + 7 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34121599974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121599979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327274 + ... + 418749.

It is an arithmetic number, because the mean of its divisors is an integer number (992211920).

Almost surely, 234121599974 is an apocalyptic number.

34121599974 is an abundant number, since it is smaller than the sum of its proper divisors (61130744346).

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

34121599974 is a wasteful number, since it uses less digits than its factorization.

34121599974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746063 (or 746046 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 34121599974 in words is "thirty-four billion, one hundred twenty-one million, five hundred ninety-nine thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 121 126 154 189 198 231 242 297 363 378 462 594 693 726 847 1089 1386 1694 2079 2178 2541 3267 4158 5082 6534 7623 15246 22869 45738 746023 1492046 2238069 4476138 5222161 6714207 8206253 10444322 13428414 15666483 16412506 20142621 24618759 31332966 40285242 46999449 49237518 57443771 73856277 90268783 93998898 114887542 140998347 147712554 172331313 180537566 221568831 270806349 281996694 344662626 443137662 516993939 541612698 631881481 812419047 1033987878 1263762962 1550981817 1624838094 1895644443 2437257141 3101963634 3791288886 4874514282 5686933329 11373866658 17060799987 34121599974