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144105136200424 = 23717151370941387
BaseRepresentation
bin100000110001000000010111…
…011101000001101011101000
3200220020022112201020121012101
4200301000113131001223220
5122342004304331403144
61230252552522423144
742232152420202030
oct4061002735015350
9626208481217171
10144105136200424
1141a09710632353
12141b465a661ab4
1362540961541c9
142782a238848c0
15119d78a58d6d4
hex831017741ae8

144105136200424 has 32 divisors (see below), whose sum is σ = 326961233398080. Its totient is φ = 58126441492224.

The previous prime is 144105136200391. The next prime is 144105136200551. The reversal of 144105136200424 is 424002631501441.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 75685469742 + ... + 75685471645.

It is an arithmetic number, because the mean of its divisors is an integer number (10217538543690).

Almost surely, 2144105136200424 is an apocalyptic number.

144105136200424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144105136200424 is an abundant number, since it is smaller than the sum of its proper divisors (182856097197656).

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

144105136200424 is a wasteful number, since it uses less digits than its factorization.

144105136200424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151370941417 (or 151370941413 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 144105136200424 its reverse (424002631501441), we get a palindrome (568107767701865).

The spelling of 144105136200424 in words is "one hundred forty-four trillion, one hundred five billion, one hundred thirty-six million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 151370941387 302741882774 605483765548 1059596589709 1210967531096 2119193179418 2573306003579 4238386358836 5146612007158 8476772717672 10293224014316 18013142025053 20586448028632 36026284050106 72052568100212 144105136200424