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42541034844 = 2237112913112119
BaseRepresentation
bin100111100111101001…
…001010110101011100
311001210202110111000010
4213213221022311130
51144111001103334
631313150003220
73034130554440
oct474751126534
9131722414003
1042541034844
111705033a140
1282b2aa6510
13401c64b589
1420b7c60820
15118eb1b0e9
hex9e7a4ad5c

42541034844 has 192 divisors, whose sum is σ = 129011097600. Its totient is φ = 10586284800.

The previous prime is 42541034843. The next prime is 42541034891. The reversal of 42541034844 is 44843014524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42541034843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3504217 + ... + 3516335.

It is an arithmetic number, because the mean of its divisors is an integer number (671932800).

Almost surely, 242541034844 is an apocalyptic number.

42541034844 is a gapful number since it is divisible by the number (44) 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 42541034844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64505548800).

42541034844 is an abundant number, since it is smaller than the sum of its proper divisors (86470062756).

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

42541034844 is a wasteful number, since it uses less digits than its factorization.

42541034844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12304 (or 12302 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The spelling of 42541034844 in words is "forty-two billion, five hundred forty-one million, thirty-four thousand, eight hundred forty-four".