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13423422432431 = 1119354716077193
BaseRepresentation
bin1100001101010110001001…
…0100110110010010101111
31202112021012101111202012202
43003111202110312102233
53224412132120314211
644314345104452115
72553544631033414
oct303254224662257
952467171452182
1013423422432431
114305929019270
12160967101a03b
13764a91a4c81b
143459a8c3a10b
151842924d553b
hexc35625364af

13423422432431 has 32 divisors (see below), whose sum is σ = 14757745356288. Its totient is φ = 12108465008640.

The previous prime is 13423422432383. The next prime is 13423422432467.

13423422432431 is nontrivially palindromic in base 10.

13423422432431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13423422432431 is a prime.

It is a super-2 number, since 2×134234224324312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13423422432631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866174971 + ... + 1866182163.

It is an arithmetic number, because the mean of its divisors is an integer number (461179542384).

Almost surely, 213423422432431 is an apocalyptic number.

13423422432431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13423422432431 is a deficient number, since it is larger than the sum of its proper divisors (1334322923857).

13423422432431 is a wasteful number, since it uses less digits than its factorization.

13423422432431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9551.

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 1342342 and 2432431, that added together give a palindrome (3774773).

The spelling of 13423422432431 in words is "thirteen trillion, four hundred twenty-three billion, four hundred twenty-two million, four hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 11 193 547 1607 2123 6017 7193 17677 79123 105571 310151 879029 1161281 1388249 3411661 3934571 9669319 11559151 15270739 43280281 127150661 169652597 759372203 1866178567 2230916143 6322855597 8353094233 24540077573 69551411567 1220311130221 13423422432431