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42314111141324 = 22118218867132103
BaseRepresentation
bin10011001111100000001011…
…00100000100010111001100
312112211012010011022010211112
421213300011210010113030
521021233244423010244
6225554500113111152
711625044056150031
oct1147600544042714
9175735104263745
1042314111141324
111253434a681520
1248b49122584b8
131a7c2852b12a9
14a6402a235388
154d5a4914239e
hex267c059045cc

42314111141324 has 48 divisors (see below), whose sum is σ = 80889612685056. Its totient is φ = 19207947844800.

The previous prime is 42314111141321. The next prime is 42314111141327.

42314111141324 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42314111141321) and next prime (42314111141327).

It is not an unprimeable number, because it can be changed into a prime (42314111141321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320245457 + ... + 320377559.

It is an arithmetic number, because the mean of its divisors is an integer number (1685200264272).

Almost surely, 242314111141324 is an apocalyptic number.

42314111141324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42314111141324 is a deficient number, since it is larger than the sum of its proper divisors (38575501543732).

42314111141324 is a wasteful number, since it uses less digits than its factorization.

42314111141324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141806 (or 141804 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 4231411 and 1141324, that added together give a palindrome (5372735).

The spelling of 42314111141324 in words is "forty-two trillion, three hundred fourteen billion, one hundred eleven million, one hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 821 1642 3284 8867 9031 17734 18062 35468 36124 97537 132103 195074 264206 390148 528412 1453133 2906266 5812532 7279807 14559614 29119228 80077877 108456563 160155754 216913126 320311508 433826252 1171357301 1193022193 2342714602 2386044386 4685429204 4772088772 12884930311 25769860622 51539721244 961684344121 1923368688242 3846737376484 10578527785331 21157055570662 42314111141324