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114012014450431 = 4013413772710781
BaseRepresentation
bin11001111011000101111101…
…100111110001011011111111
3112221200102221022112210122211
4121323011331213301123333
5104420433101144403211
61042252221341121251
733005045000623156
oct3173057547613377
9487612838483584
10114012014450431
1133367250963239
1210954360b59227
134b80396220b56
1420222d4b8059d
15d2aaaa344e21
hex67b17d9f16ff

114012014450431 has 16 divisors (see below), whose sum is σ = 114355224482688. Its totient is φ = 113669114944000.

The previous prime is 114012014450413. The next prime is 114012014450471. The reversal of 114012014450431 is 134054410210411.

It is a cyclic number.

It is not a de Polignac number, because 114012014450431 - 225 = 114011980895999 is a prime.

It is a super-2 number, since 2×1140120144504312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114012014450393 and 114012014450402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114012014450401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10575267261 + ... + 10575278041.

It is an arithmetic number, because the mean of its divisors is an integer number (7147201530168).

Almost surely, 2114012014450431 is an apocalyptic number.

114012014450431 is a deficient number, since it is larger than the sum of its proper divisors (343210032257).

114012014450431 is a wasteful number, since it uses less digits than its factorization.

114012014450431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22322.

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 114012014450431 its reverse (134054410210411), we get a palindrome (248066424660842).

The spelling of 114012014450431 in words is "one hundred fourteen trillion, twelve billion, fourteen million, four hundred fifty thousand, four hundred thirty-one".

Divisors: 1 401 3413 7727 10781 1368613 3098527 4323181 26372251 36795553 83304787 10575272651 14755016753 33405219587 284319238031 114012014450431