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42922367040 = 26357171792099
BaseRepresentation
bin100111111110010111…
…110101100001000000
311002210100000011102210
4213332113311201000
51200401111221130
631415051142120
73046441046220
oct477627654100
9132710004383
1042922367040
1117226614713
12839a744940
134080654c27
142112766080
1511b33435b0
hex9fe5f5840

42922367040 has 448 divisors, whose sum is σ = 165908736000. Its totient is φ = 9177759744.

The previous prime is 42922367029. The next prime is 42922367053. The reversal of 42922367040 is 4076322924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 42922367040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20447911 + ... + 20450009.

It is an arithmetic number, because the mean of its divisors is an integer number (370332000).

Almost surely, 242922367040 is an apocalyptic number.

42922367040 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 42922367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82954368000).

42922367040 is an abundant number, since it is smaller than the sum of its proper divisors (122986368960).

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

42922367040 is a wasteful number, since it uses less digits than its factorization.

42922367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

Adding to 42922367040 its reverse (4076322924), we get a palindrome (46998689964).

The spelling of 42922367040 in words is "forty-two billion, nine hundred twenty-two million, three hundred sixty-seven thousand, forty".