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34041322304144 = 2423934925507219
BaseRepresentation
bin1111011110101110111001…
…11011000111001010010000
311110112022121021121000012022
413233113130323013022100
513430213112002213034
6200222211221351012
710112255462240261
oct757273473071220
9143468537530168
1034041322304144
11a934930a92401
123999529b68468
1315cc11023430c
14859874742968
153e075d8b4b2e
hex1ef5dcec7290

34041322304144 has 40 divisors (see below), whose sum is σ = 66420800880000. Its totient is φ = 16900878589056.

The previous prime is 34041322304071. The next prime is 34041322304159. The reversal of 34041322304144 is 44140322314043.

It is a super-2 number, since 2×340413223041442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11419034 + ... + 14088185.

It is an arithmetic number, because the mean of its divisors is an integer number (1660520022000).

Almost surely, 234041322304144 is an apocalyptic number.

It is an amenable number.

34041322304144 is a deficient number, since it is larger than the sum of its proper divisors (32379478575856).

34041322304144 is a wasteful number, since it uses less digits than its factorization.

34041322304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25507815 (or 25507809 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 34041322304144 its reverse (44140322314043), we get a palindrome (78181644618187).

The spelling of 34041322304144 in words is "thirty-four trillion, forty-one billion, three hundred twenty-two million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 239 349 478 698 956 1396 1912 2792 3824 5584 83411 166822 333644 667288 1334576 25507219 51014438 102028876 204057752 408115504 6096225341 8902019431 12192450682 17804038862 24384901364 35608077724 48769802728 71216155448 97539605456 142432310896 2127582644009 4255165288018 8510330576036 17020661152072 34041322304144