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422886801120 = 253572131137251
BaseRepresentation
bin1100010011101100000…
…01000111111011100000
31111102112201010022220120
412021312001013323200
523412033010113440
6522134351440240
742360346333500
oct6116601077340
91442481108816
10422886801120
11153388635873
1269b5bb26080
1330b55115104
1416679a25a00
15b000ce7dd0
hex6276047ee0

422886801120 has 288 divisors, whose sum is σ = 1561418280576. Its totient is φ = 95921280000.

The previous prime is 422886801119. The next prime is 422886801133. The reversal of 422886801120 is 21108688224.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3012495 + ... + 3149745.

It is an arithmetic number, because the mean of its divisors is an integer number (5421591252).

Almost surely, 2422886801120 is an apocalyptic number.

422886801120 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 422886801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780709140288).

422886801120 is an abundant number, since it is smaller than the sum of its proper divisors (1138531479456).

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

422886801120 is a wasteful number, since it uses less digits than its factorization.

422886801120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137414 (or 137399 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 422886801120 in words is "four hundred twenty-two billion, eight hundred eighty-six million, eight hundred one thousand, one hundred twenty".