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34441133475 = 3527259158843
BaseRepresentation
bin100000000100110110…
…011111110110100011
310021220021001212012010
4200010312133312203
51031013412232400
623453321004003
72326324542600
oct400466376643
9107807055163
1034441133475
1113674138381
126812323603
13332b4ca828
14194a1cd6a7
15d6898a450
hex804d9fda3

34441133475 has 72 divisors (see below), whose sum is σ = 67362563520. Its totient is φ = 15477564480.

The previous prime is 34441133453. The next prime is 34441133509. The reversal of 34441133475 is 57433114443.

It is a happy number.

34441133475 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34441133475 - 214 = 34441117091 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137404 + ... + 296246.

It is an arithmetic number, because the mean of its divisors is an integer number (935591160).

Almost surely, 234441133475 is an apocalyptic number.

34441133475 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34441133475 is a deficient number, since it is larger than the sum of its proper divisors (32921430045).

34441133475 is a wasteful number, since it uses less digits than its factorization.

34441133475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158929 (or 158917 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The spelling of 34441133475 in words is "thirty-four billion, four hundred forty-one million, one hundred thirty-three thousand, four hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 49 59 75 105 147 175 177 245 295 413 525 735 885 1225 1239 1475 2065 2891 3675 4425 6195 8673 10325 14455 30975 43365 72275 158843 216825 476529 794215 1111901 2382645 3335703 3971075 5559505 7783307 9371737 11913225 16678515 23349921 27797525 28115211 38916535 46858685 65602159 83392575 116749605 140576055 194582675 196806477 234293425 328010795 459215113 583748025 702880275 984032385 1377645339 1640053975 2296075565 4920161925 6888226695 11480377825 34441133475