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422743389120 = 263351331317383
BaseRepresentation
bin1100010011011010111…
…10000011001111000000
31111102011201021020122000
412021231132003033000
523411234301422440
6522112225544000
742353655342633
oct6115536031700
91442151236560
10422743389120
11153314693258
1269b1baa5000
1330b314b1a40
1416664973c1a
15aee341a730
hex626d7833c0

422743389120 has 896 divisors, whose sum is σ = 1667444244480. Its totient is φ = 100123361280.

The previous prime is 422743389109. The next prime is 422743389137. The reversal of 422743389120 is 21983347224.

422743389120 is a `hidden beast` number, since 4 + 227 + 4 + 338 + 91 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1103768449 + ... + 1103768831.

It is an arithmetic number, because the mean of its divisors is an integer number (1860986880).

Almost surely, 2422743389120 is an apocalyptic number.

422743389120 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 422743389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833722122240).

422743389120 is an abundant number, since it is smaller than the sum of its proper divisors (1244700855360).

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

422743389120 is a wasteful number, since it uses less digits than its factorization.

422743389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 422743389120 in words is "four hundred twenty-two billion, seven hundred forty-three million, three hundred eighty-nine thousand, one hundred twenty".