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421242421320 = 233457175232089
BaseRepresentation
bin1100010000101000000…
…00010100000001001000
31111021022002221011220000
412020110000110001020
523400201024440240
6521303251003000
742301531334340
oct6102400240110
91437262834800
10421242421320
111527144019a6
1269781299460
1330952541106
141656149bd20
15ae5677e430
hex6214014048

421242421320 has 640 divisors, whose sum is σ = 1717386105600. Its totient is φ = 90403651584.

The previous prime is 421242421319. The next prime is 421242421321. The reversal of 421242421320 is 23124242124.

It is a happy number.

421242421320 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 424 + 213 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (421242421319) and next prime (421242421321).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (421242421321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 201646836 + ... + 201648924.

It is an arithmetic number, because the mean of its divisors is an integer number (2683415790).

Almost surely, 2421242421320 is an apocalyptic number.

421242421320 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 421242421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858693052800).

421242421320 is an abundant number, since it is smaller than the sum of its proper divisors (1296143684280).

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

421242421320 is a wasteful number, since it uses less digits than its factorization.

421242421320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 421242421320 its reverse (23124242124), we get a palindrome (444366663444).

The spelling of 421242421320 in words is "four hundred twenty-one billion, two hundred forty-two million, four hundred twenty-one thousand, three hundred twenty".