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14010340312332 = 223271319613136713
BaseRepresentation
bin1100101111100000100101…
…0110111000010100001100
31211121101010201001020122100
43023320021112320110030
53314021134104443312
645444132251515100
72644133202510540
oct313701126702414
954541121036570
1014010340312332
11451182a948361
1216a336a758a90
137a82282b4c60
14366165899a20
15194693ace5dc
hexcbe095b850c

14010340312332 has 288 divisors, whose sum is σ = 45890549752320. Its totient is φ = 3499892997120.

The previous prime is 14010340312301. The next prime is 14010340312349. The reversal of 14010340312332 is 23321304301041.

It is a happy number.

14010340312332 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 0 + 340 + 312 + 3 + 3 + 2 = 666.

It is a super-2 number, since 2×140103403123322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14010340312296 and 14010340312305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381599608 + ... + 381636320.

It is an arithmetic number, because the mean of its divisors is an integer number (159342186640).

Almost surely, 214010340312332 is an apocalyptic number.

14010340312332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14010340312332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22945274876160).

14010340312332 is an abundant number, since it is smaller than the sum of its proper divisors (31880209439988).

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

14010340312332 is a wasteful number, since it uses less digits than its factorization.

14010340312332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42893 (or 42888 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 14010340312332 its reverse (23321304301041), we get a palindrome (37331644613373).

The spelling of 14010340312332 in words is "fourteen trillion, ten billion, three hundred forty million, three hundred twelve thousand, three hundred thirty-two".