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423742869256320 = 273253116314558969
BaseRepresentation
bin110000001011001000101001…
…1001100101011100010000000
32001120100102102010120011012200
41200112101103030223202000
5421020100344012200240
64101120441534553200
7155153261215502415
oct14026212314534200
92046312363504180
10423742869256320
11113021383817859
123b638259668800
1315259a20149273
14768d39b36210c
1533ec7d0112930
hex181645332b880

423742869256320 has 384 divisors, whose sum is σ = 1519704888998400. Its totient is φ = 108682113761280.

The previous prime is 423742869256307. The next prime is 423742869256361. The reversal of 423742869256320 is 23652968247324.

423742869256320 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 4 + 2 + 8 + 69 + 2 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 21825796 + ... + 36384764.

It is an arithmetic number, because the mean of its divisors is an integer number (3957564815100).

Almost surely, 2423742869256320 is an apocalyptic number.

423742869256320 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 423742869256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759852444499200).

423742869256320 is an abundant number, since it is smaller than the sum of its proper divisors (1095962019742080).

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

423742869256320 is a wasteful number, since it uses less digits than its factorization.

423742869256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14559188 (or 14559173 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 423742869256320 in words is "four hundred twenty-three trillion, seven hundred forty-two billion, eight hundred sixty-nine million, two hundred fifty-six thousand, three hundred twenty".