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42015224153430 = 23551148713192447
BaseRepresentation
bin10011000110110011011101…
…00000101100010101010110
312111202121122012200222200000
421203121232200230111112
521001334134340402210
6225205305535432130
711564333264523543
oct1143315640542526
9174677565628600
1042015224153430
1112429613777740
1248669b9685646
131a5a031c3ac38
14a53794c5bbca
154ccda4539ac0
hex26366e82c556

42015224153430 has 384 divisors, whose sum is σ = 123982474936320. Its totient is φ = 10152737043840.

The previous prime is 42015224153411. The next prime is 42015224153477. The reversal of 42015224153430 is 3435142251024.

It is a happy number.

42015224153430 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 52 + 2 + 41 + 534 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17170094467 + ... + 17170096913.

It is an arithmetic number, because the mean of its divisors is an integer number (322871028480).

Almost surely, 242015224153430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42015224153430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61991237468160).

42015224153430 is an abundant number, since it is smaller than the sum of its proper divisors (81967250782890).

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

42015224153430 is a wasteful number, since it uses less digits than its factorization.

42015224153430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42015224153430 in words is "forty-two trillion, fifteen billion, two hundred twenty-four million, one hundred fifty-three thousand, four hundred thirty".