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42131010431025 = 3252235779443757
BaseRepresentation
bin10011001010001011000111…
…11010010010100000110001
312112011200111120000022200200
421211011203322102200301
521010233302132243100
6225334415145305413
711605602466613145
oct1145054372224061
9175150446008620
1042131010431025
111247373004284a
124885332195269
131a67c25153629
14a5921a6d9225
154d0dce5eee00
hex265163e92831

42131010431025 has 36 divisors (see below), whose sum is σ = 75493337689692. Its totient is φ = 22460338696320.

The previous prime is 42131010430997. The next prime is 42131010431071. The reversal of 42131010431025 is 52013401013124.

42131010431025 is a `hidden beast` number, since 4 + 2 + 1 + 310 + 10 + 4 + 310 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6710705793009 + 35420304638016 = 2590503^2 + 5951496^2 .

It is not a de Polignac number, because 42131010431025 - 221 = 42131008333873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42131010431025.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39191554 + ... + 40252203.

It is an arithmetic number, because the mean of its divisors is an integer number (2097037158047).

Almost surely, 242131010431025 is an apocalyptic number.

42131010431025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42131010431025 is a deficient number, since it is larger than the sum of its proper divisors (33362327258667).

42131010431025 is a wasteful number, since it uses less digits than its factorization.

42131010431025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79446130 (or 79446122 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 42131010431025 its reverse (52013401013124), we get a palindrome (94144411444149).

The spelling of 42131010431025 in words is "forty-two trillion, one hundred thirty-one billion, ten million, four hundred thirty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2357 7071 11785 21213 35355 58925 106065 176775 530325 79443757 238331271 397218785 714993813 1191656355 1986093925 3574969065 5958281775 17874845325 187248935249 561746805747 936244676245 1685240417241 2808734028735 4681223381225 8426202086205 14043670143675 42131010431025