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423052311144400 = 245272311619112121
BaseRepresentation
bin110000000110000111000101…
…0101110100010011111010000
32001110220101221221122100222021
41200030032022232202133100
5420422242113123110100
64055431314310021224
7155052343435422400
oct14014161256423720
92043811857570867
10423052311144400
11112885528765453
123b546457047814
131520987ab78c62
147667bac01c800
1533d9864e21a1a
hex180c38aba27d0

423052311144400 has 360 divisors, whose sum is σ = 1188051762231360. Its totient is φ = 144345261312000.

The previous prime is 423052311144329. The next prime is 423052311144403. The reversal of 423052311144400 is 4441113250324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423052311144403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3773120340 + ... + 3773232460.

It is an arithmetic number, because the mean of its divisors is an integer number (3300143783976).

Almost surely, 2423052311144400 is an apocalyptic number.

423052311144400 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 423052311144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594025881115680).

423052311144400 is an abundant number, since it is smaller than the sum of its proper divisors (764999451086960).

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

423052311144400 is a wasteful number, since it uses less digits than its factorization.

423052311144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113083 (or 113065 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 423052311144400 its reverse (4441113250324), we get a palindrome (427493424394724).

The spelling of 423052311144400 in words is "four hundred twenty-three trillion, fifty-two billion, three hundred eleven million, one hundred forty-four thousand, four hundred".