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42502521040 = 24576197101127
BaseRepresentation
bin100111100101010110…
…010000000011010000
311001201001222202222221
4213211112100003100
51144021121133130
631305252310424
73033152316340
oct474526200320
9131631882887
1042502521040
1117030624151
1282a2012414
134014685345
1420b2ab6d20
15118b55e87a
hex9e55900d0

42502521040 has 320 divisors, whose sum is σ = 118040444928. Its totient is φ = 13934592000.

The previous prime is 42502521013. The next prime is 42502521043. The reversal of 42502521040 is 4012520524.

It is a junction number, because it is equal to n+sod(n) for n = 42502520996 and 42502521014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42502521043) 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, 334665457 + ... + 334665583.

Almost surely, 242502521040 is an apocalyptic number.

42502521040 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 42502521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59020222464).

42502521040 is an abundant number, since it is smaller than the sum of its proper divisors (75537923888).

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

42502521040 is a wasteful number, since it uses less digits than its factorization.

42502521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 42502521040 in words is "forty-two billion, five hundred two million, five hundred twenty-one thousand, forty".