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423024255222400 = 275213173221326561
BaseRepresentation
bin110000000101111010000001…
…0011101101100001010000000
32001110210201112200110212021001
41200023310002131230022000
5420421312133314104100
64055410354322141344
7155050331253134416
oct14013640235541200
92043721480425231
10423024255222400
11112874640942a57
123b540b271b1854
13152070294ab490
1476666a9c732b6
1533d8c71d10d6a
hex180bd0276c280

423024255222400 has 384 divisors, whose sum is σ = 1132446117403440. Its totient is φ = 155214702182400.

The previous prime is 423024255222383. The next prime is 423024255222407. The reversal of 423024255222400 is 4222552420324.

It can be written as a sum of positive squares in 24 ways, for example, as 81477485614144 + 341546769608256 = 9026488^2 + 18480984^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 423024255222400.

It is not an unprimeable number, because it can be changed into a prime (423024255222407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15926505120 + ... + 15926531680.

Almost surely, 2423024255222400 is an apocalyptic number.

423024255222400 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 423024255222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566223058701720).

423024255222400 is an abundant number, since it is smaller than the sum of its proper divisors (709421862181040).

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

423024255222400 is a wasteful number, since it uses less digits than its factorization.

423024255222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28984 (or 28967 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 37.

The spelling of 423024255222400 in words is "four hundred twenty-three trillion, twenty-four billion, two hundred fifty-five million, two hundred twenty-two thousand, four hundred".