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2144036900424 = 23317471995031117
BaseRepresentation
bin11111001100110010100…
…011101100111001001000
321120222010121200112000210
4133030302203230321020
5240111441421303144
64320542411401120
7310621142646246
oct37146243547110
97528117615023
102144036900424
1175730aa31a71
122a76417531a0
13127249597833
1475ab42b9796
153ab88312ab9
hex1f3328ece48

2144036900424 has 256 divisors, whose sum is σ = 5842077696000. Its totient is φ = 653131911168.

The previous prime is 2144036900351. The next prime is 2144036900443. The reversal of 2144036900424 is 4240096304412.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1919459514 + ... + 1919460630.

It is an arithmetic number, because the mean of its divisors is an integer number (22820616000).

Almost surely, 22144036900424 is an apocalyptic number.

2144036900424 is a gapful number since it is divisible by the number (24) 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 2144036900424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921038848000).

2144036900424 is an abundant number, since it is smaller than the sum of its proper divisors (3698040795576).

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

2144036900424 is a wasteful number, since it uses less digits than its factorization.

2144036900424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 2144036900424 in words is "two trillion, one hundred forty-four billion, thirty-six million, nine hundred thousand, four hundred twenty-four".