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42858230941440 = 283451722362189
BaseRepresentation
bin10011011111010101101011…
…01000011000011100000000
312121202012120210200220220000
421233222311220120130000
521104142124110111230
6231052444404520000
712012255626143305
oct1157526550303400
9177665523626800
1042858230941440
111272408a066842
1249822669b0000
131abb68ab89c65
14a824c6c430ac
154e4c93298b60
hex26fab5a18700

42858230941440 has 1080 divisors, whose sum is σ = 169991691297120. Its totient is φ = 10288732962816.

The previous prime is 42858230941397. The next prime is 42858230941481. The reversal of 42858230941440 is 4414903285824.

42858230941440 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 82 + 30 + 94 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 689129866 + ... + 689192054.

It is an arithmetic number, because the mean of its divisors is an integer number (157399714164).

Almost surely, 242858230941440 is an apocalyptic number.

42858230941440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42858230941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84995845648560).

42858230941440 is an abundant number, since it is smaller than the sum of its proper divisors (127133460355680).

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

42858230941440 is a wasteful number, since it uses less digits than its factorization.

42858230941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62279 (or 62239 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 42858230941440 in words is "forty-two trillion, eight hundred fifty-eight billion, two hundred thirty million, nine hundred forty-one thousand, four hundred forty".