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42252525440 = 27566019571
BaseRepresentation
bin100111010110011100…
…100101111110000000
311001001122120200111122
4213112130211332000
51143013121303230
631224402131412
73024025353236
oct472634457600
9131048520448
1042252525440
1116a124a3814
128232350b68
133ca4944958
14208b7dc956
15117462bbe5
hex9d6725f80

42252525440 has 32 divisors (see below), whose sum is σ = 101009945160. Its totient is φ = 16901009920.

The previous prime is 42252525437. The next prime is 42252525449. The reversal of 42252525440 is 4452525224.

It is a happy number.

42252525440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 42252525440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42252525449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33009146 + ... + 33010425.

Almost surely, 242252525440 is an apocalyptic number.

42252525440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42252525440 is an abundant number, since it is smaller than the sum of its proper divisors (58757419720).

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

42252525440 is an equidigital number, since it uses as much as digits as its factorization.

42252525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66019590 (or 66019578 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

The spelling of 42252525440 in words is "forty-two billion, two hundred fifty-two million, five hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 66019571 132039142 264078284 330097855 528156568 660195710 1056313136 1320391420 2112626272 2640782840 4225252544 5281565680 8450505088 10563131360 21126262720 42252525440