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34100244420431 = 7399417622217
BaseRepresentation
bin1111100000011100101001…
…11101001001011101001111
311110201221200122221122110112
413300032110331021131033
513432144300032423211
6200305234103030235
710116442563044000
oct760162475113517
9143657618848415
1034100244420431
11a957917a90482
1239a8a32a3b37b
131604840585297
1485c663db31a7
153e205b69e88b
hex1f0394f4974f

34100244420431 has 8 divisors (see below), whose sum is σ = 39767048887200. Its totient is φ = 29228780931504.

The previous prime is 34100244420391. The next prime is 34100244420439. The reversal of 34100244420431 is 13402444200143.

It is a de Polignac number, because none of the positive numbers 2k-34100244420431 is a prime.

It is a super-2 number, since 2×341002444204312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34100244420439) 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, 49708810766 + ... + 49708811451.

It is an arithmetic number, because the mean of its divisors is an integer number (4970881110900).

Almost surely, 234100244420431 is an apocalyptic number.

34100244420431 is a deficient number, since it is larger than the sum of its proper divisors (5666804466769).

34100244420431 is an frugal number, since it uses more digits than its factorization.

34100244420431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99417622238 (or 99417622224 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 34100244420431 its reverse (13402444200143), we get a palindrome (47502688620574).

The spelling of 34100244420431 in words is "thirty-four trillion, one hundred billion, two hundred forty-four million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 7 49 343 99417622217 695923355519 4871463488633 34100244420431