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423240442001400 = 2335216722391920611
BaseRepresentation
bin110000000111011110101100…
…0001100110011011111111000
32001111120101120010001010011210
41200032331120030303133320
5420433332411123021100
64100053550323123120
7155102053464343062
oct14016753014633770
92044511503033153
10423240442001400
11112948299721861
123b5769bb8134a0
131522153018c19a
147672d37a26732
1533de6c6372c50
hex180ef583337f8

423240442001400 has 384 divisors, whose sum is σ = 1327327845580800. Its totient is φ = 111558256473600.

The previous prime is 423240442001359. The next prime is 423240442001437. The reversal of 423240442001400 is 4100244042324.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20534677095 + ... + 20534697705.

It is an arithmetic number, because the mean of its divisors is an integer number (3456582931200).

Almost surely, 2423240442001400 is an apocalyptic number.

423240442001400 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 423240442001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663663922790400).

423240442001400 is an abundant number, since it is smaller than the sum of its proper divisors (904087403579400).

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

423240442001400 is a wasteful number, since it uses less digits than its factorization.

423240442001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21939 (or 21930 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 423240442001400 its reverse (4100244042324), we get a palindrome (427340686043724).

The spelling of 423240442001400 in words is "four hundred twenty-three trillion, two hundred forty billion, four hundred forty-two million, one thousand, four hundred".