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42437220000 = 253547791279
BaseRepresentation
bin100111100001011101…
…001001011010100000
311001112112010010210220
4213201131021122200
51143402412020000
631255000523040
73031430263320
oct474135113240
9131475103726
1042437220000
1116aa778254a
128284180480
134003ca0586
1420a8159280
1511859611a0
hex9e17496a0

42437220000 has 480 divisors, whose sum is σ = 161228390400. Its totient is φ = 9569664000.

The previous prime is 42437219941. The next prime is 42437220019. The reversal of 42437220000 is 2273424.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33179361 + ... + 33180639.

It is an arithmetic number, because the mean of its divisors is an integer number (335892480).

Almost surely, 242437220000 is an apocalyptic number.

42437220000 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 42437220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80614195200).

42437220000 is an abundant number, since it is smaller than the sum of its proper divisors (118791170400).

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

42437220000 is a wasteful number, since it uses less digits than its factorization.

42437220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

Adding to 42437220000 its reverse (2273424), we get a palindrome (42439493424).

The spelling of 42437220000 in words is "forty-two billion, four hundred thirty-seven million, two hundred twenty thousand".