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34419095945 = 5134173176921
BaseRepresentation
bin100000000011100010…
…011011100110001001
310021211201121020101022
4200003202123212021
51030442242032240
623451212402225
72325636326333
oct400342334611
9107751536338
1034419095945
1113662756243
126806a76375
133326a82b80
1419472d4453
15d66a859b5
hex80389b989

34419095945 has 32 divisors (see below), whose sum is σ = 46189380384. Its totient is φ = 24457420800.

The previous prime is 34419095923. The next prime is 34419096001. The reversal of 34419095945 is 54959091443.

It can be written as a sum of positive squares in 16 ways, for example, as 21273097609 + 13145998336 = 145853^2 + 114656^2 .

It is not a de Polignac number, because 34419095945 - 210 = 34419094921 is a prime.

It is a super-2 number, since 2×344190959452 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106085 + ... + 283005.

It is an arithmetic number, because the mean of its divisors is an integer number (1443418137).

Almost surely, 234419095945 is an apocalyptic number.

It is an amenable number.

34419095945 is a deficient number, since it is larger than the sum of its proper divisors (11770284439).

34419095945 is a wasteful number, since it uses less digits than its factorization.

34419095945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177053.

The product of its (nonzero) digits is 3499200, while the sum is 53.

The spelling of 34419095945 in words is "thirty-four billion, four hundred nineteen million, ninety-five thousand, nine hundred forty-five".

Divisors: 1 5 13 41 65 73 205 365 533 949 2665 2993 4745 14965 38909 176921 194545 884605 2299973 7253761 11499865 12915233 36268805 64576165 94298893 167898029 471494465 529524553 839490145 2647622765 6883819189 34419095945