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42144000025 = 521799162353
BaseRepresentation
bin100111001111111110…
…100110100000011001
311000210002101000121211
4213033332212200121
51142302331000100
631205524103121
73021240042511
oct471776464031
9130702330554
1042144000025
1116967209a96
128201b34aa1
133c8830782a
14207b22c841
151169d411ba
hex9cffa6819

42144000025 has 12 divisors (see below), whose sum is σ = 55332593532. Its totient is φ = 31731952640.

The previous prime is 42144000023. The next prime is 42144000029. The reversal of 42144000025 is 52000044124.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 736633881 + 41407366144 = 27141^2 + 203488^2 .

It is not a de Polignac number, because 42144000025 - 21 = 42144000023 is a prime.

It is a super-2 number, since 2×421440000252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42144000023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49580752 + ... + 49581601.

It is an arithmetic number, because the mean of its divisors is an integer number (4611049461).

Almost surely, 242144000025 is an apocalyptic number.

It is an amenable number.

42144000025 is a deficient number, since it is larger than the sum of its proper divisors (13188593507).

42144000025 is a wasteful number, since it uses less digits than its factorization.

42144000025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99162380 (or 99162375 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 42144000025 its reverse (52000044124), we get a palindrome (94144044149).

The spelling of 42144000025 in words is "forty-two billion, one hundred forty-four million, twenty-five", and thus it is an aban number.

Divisors: 1 5 17 25 85 425 99162353 495811765 1685760001 2479058825 8428800005 42144000025