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34148446002 = 23211215678809
BaseRepresentation
bin11111110011011001…
…111110111100110010
310021010212022210110100
4133303121332330302
51024414000233002
623404303413230
72316142000416
oct376331767462
9107125283410
1034148446002
11135339a8a00
1267502b4216
1332b2990288
14191d3a0d46
15d4ce2311c
hex7f367ef32

34148446002 has 36 divisors (see below), whose sum is σ = 81325987470. Its totient is φ = 10348013280.

The previous prime is 34148445959. The next prime is 34148446043. The reversal of 34148446002 is 20064484143.

34148446002 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 8 + 44 + 600 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30670867161 + 3477578841 = 175131^2 + 58971^2 .

It is a super-2 number, since 2×341484460022 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7837227 + ... + 7841582.

Almost surely, 234148446002 is an apocalyptic number.

34148446002 is an abundant number, since it is smaller than the sum of its proper divisors (47177541468).

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

34148446002 is a wasteful number, since it uses less digits than its factorization.

34148446002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15678839 (or 15678825 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 34148446002 in words is "thirty-four billion, one hundred forty-eight million, four hundred forty-six thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 15678809 31357618 47036427 94072854 141109281 172466899 282218562 344933798 517400697 1034801394 1552202091 1897135889 3104404182 3794271778 5691407667 11382815334 17074223001 34148446002