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34045835170416 = 2431574945037033
BaseRepresentation
bin1111011110110111010011…
…11010010101001001110000
311110112202020210100100220120
413233123221322111021300
513430301332300423131
6200224235112010240
710112505351045636
oct757335172251160
9143482223310816
1034045835170416
11a936837420653
12399a389390980
1315cc67c1941a4
14859b81c3b356
153e0924b95496
hex1ef6e9e95270

34045835170416 has 40 divisors (see below), whose sum is σ = 87957327402000. Its totient is φ = 11347890878976.

The previous prime is 34045835170411. The next prime is 34045835170453. The reversal of 34045835170416 is 61407153854043.

It is a super-2 number, since 2×340458351704162 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34045835170411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21762565 + ... + 23274468.

It is an arithmetic number, because the mean of its divisors is an integer number (2198933185050).

Almost surely, 234045835170416 is an apocalyptic number.

It is an amenable number.

34045835170416 is an abundant number, since it is smaller than the sum of its proper divisors (53911492231584).

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

34045835170416 is a wasteful number, since it uses less digits than its factorization.

34045835170416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45052793 (or 45052787 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 34045835170416 in words is "thirty-four trillion, forty-five billion, eight hundred thirty-five million, one hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 15749 31498 47247 62996 94494 125992 188988 251984 377976 755952 45037033 90074066 135111099 180148132 270222198 360296264 540444396 720592528 1080888792 2161777584 709288232717 1418576465434 2127864698151 2837152930868 4255729396302 5674305861736 8511458792604 11348611723472 17022917585208 34045835170416