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24142611624142 = 2112113957875443
BaseRepresentation
bin1010111110101001000111…
…10010100011000011001110
310011111000022010002100011011
411133110203302203003032
511131023032033433032
6123202543534115434
75041150264600624
oct537244362430316
9104430263070134
1024142611624142
117768907957700
12285abbb94bb7a
13106183ba5428b
145d67199b5514
152bd010e8c247
hex15f523ca30ce

24142611624142 has 24 divisors (see below), whose sum is σ = 39805775093448. Its totient is φ = 10973805540720.

The previous prime is 24142611624127. The next prime is 24142611624211.

24142611624142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24142611624095 and 24142611624104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27139873 + ... + 28015315.

It is an arithmetic number, because the mean of its divisors is an integer number (1658573962227).

Almost surely, 224142611624142 is an apocalyptic number.

24142611624142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24142611624142 is a deficient number, since it is larger than the sum of its proper divisors (15663163469306).

24142611624142 is a wasteful number, since it uses less digits than its factorization.

24142611624142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989424 (or 989413 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The spelling of 24142611624142 in words is "twenty-four trillion, one hundred forty-two billion, six hundred eleven million, six hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 11 22 121 242 113957 227914 875443 1253527 1750886 2507054 9629873 13788797 19259746 27577594 105928603 211857206 99762857951 199525715902 1097391437461 2194782874922 12071305812071 24142611624142