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422104250040 = 23351119137122849
BaseRepresentation
bin1100010010001110101…
…11111011011010111000
31111100112011121121122020
412021013113323122320
523403432142000130
6521524554554440
742332064632454
oct6110727733270
91440464547566
10422104250040
11153016932640
1269981a38a20
1330a5bc61435
1416603b1d664
15aea726ae10
hex62475fb6b8

422104250040 has 256 divisors, whose sum is σ = 1464765120000. Its totient is φ = 96234209280.

The previous prime is 422104250023. The next prime is 422104250047. The reversal of 422104250040 is 40052401224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422104250047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3374536 + ... + 3497384.

It is an arithmetic number, because the mean of its divisors is an integer number (5721738750).

Almost surely, 2422104250040 is an apocalyptic number.

422104250040 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 422104250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732382560000).

422104250040 is an abundant number, since it is smaller than the sum of its proper divisors (1042660869960).

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

422104250040 is a wasteful number, since it uses less digits than its factorization.

422104250040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123030 (or 123026 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 422104250040 its reverse (40052401224), we get a palindrome (462156651264).

The spelling of 422104250040 in words is "four hundred twenty-two billion, one hundred four million, two hundred fifty thousand, forty".