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42272158832640 = 2113351113899463
BaseRepresentation
bin10011001110010010000010…
…00000101101100000000000
312112200011211102122001022000
421213021001000231200000
521020041340130121030
6225523321153344000
711622030334335132
oct1147110100554000
9175604742561260
1042272158832640
11125185816a0030
1248a8764568000
131a7832a911cb9
14a61daa665052
154d48e1068860
hex26724102d800

42272158832640 has 384 divisors, whose sum is σ = 163924718630400. Its totient is φ = 10247795343360.

The previous prime is 42272158832633. The next prime is 42272158832669. The reversal of 42272158832640 is 4623885127224.

42272158832640 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 21 + 588 + 32 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3908452 + ... + 9991011.

It is an arithmetic number, because the mean of its divisors is an integer number (426887288100).

Almost surely, 242272158832640 is an apocalyptic number.

42272158832640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42272158832640 is an abundant number, since it is smaller than the sum of its proper divisors (121652559797760).

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

42272158832640 is a wasteful number, since it uses less digits than its factorization.

42272158832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13899510 (or 13899484 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 42272158832640 in words is "forty-two trillion, two hundred seventy-two billion, one hundred fifty-eight million, eight hundred thirty-two thousand, six hundred forty".