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431253161352134 = 211271914519170707
BaseRepresentation
bin110001000001110001111001…
…1011111011001101111000110
32002112221101210022010111002022
41202003203303133121233012
5423011122433301232014
64125110544535043142
7156560004235143452
oct14203436337315706
92075841708114068
10431253161352134
11115457490922500
124044b9032104b2
1315682cc9c70c84
14786ca9b657662
1534ccd3ec9ea8e
hex18838f37d9bc6

431253161352134 has 48 divisors (see below), whose sum is σ = 712075236364800. Its totient is φ = 195736900737840.

The previous prime is 431253161352131. The next prime is 431253161352163.

431253161352134 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431253161352131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2526191609 + ... + 2526362315.

It is an arithmetic number, because the mean of its divisors is an integer number (14834900757600).

Almost surely, 2431253161352134 is an apocalyptic number.

431253161352134 is a deficient number, since it is larger than the sum of its proper divisors (280822075012666).

431253161352134 is a wasteful number, since it uses less digits than its factorization.

431253161352134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185969 (or 185958 counting only the distinct ones).

The product of its digits is 777600, while the sum is 44.

The spelling of 431253161352134 in words is "four hundred thirty-one trillion, two hundred fifty-three billion, one hundred sixty-one million, three hundred fifty-two thousand, one hundred thirty-four".

Divisors: 1 2 11 22 121 242 719 1438 7909 14519 15818 29038 86999 159709 170707 173998 319418 341414 1756799 1877777 3513598 3755554 10439161 20655547 20878322 41311094 114830771 122738333 229661542 245476666 1263138481 1350121663 2478494933 2526276962 2700243326 4956989866 14851338293 27263444263 29702676586 54526888526 299897886893 599795773786 1782037856827 3564075713654 19602416425097 39204832850194 215626580676067 431253161352134