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421332114240 = 2634561266477
BaseRepresentation
bin1100010000110010101…
…10011101101101000000
31111021112100201001110000
412020121112131231000
523400342010123430
6521320213240000
742304000610622
oct6103126355500
91437470631400
10421332114240
1115275aaa3584
12697a7333000
1330967cb634b
141656d368c12
15ae5e599e60
hex621959db40

421332114240 has 280 divisors, whose sum is σ = 1523327882472. Its totient is φ = 110512926720.

The previous prime is 421332114199. The next prime is 421332114257. The reversal of 421332114240 is 42411233124.

421332114240 is a `hidden beast` number, since 4 + 21 + 3 + 3 + 211 + 424 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24794911296 + 396537202944 = 157464^2 + 629712^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1447882 + ... + 1714358.

Almost surely, 2421332114240 is an apocalyptic number.

421332114240 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 421332114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761663941236).

421332114240 is an abundant number, since it is smaller than the sum of its proper divisors (1101995768232).

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

421332114240 is a wasteful number, since it uses less digits than its factorization.

421332114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266567 (or 266548 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 421332114240 its reverse (42411233124), we get a palindrome (463743347364).

The spelling of 421332114240 in words is "four hundred twenty-one billion, three hundred thirty-two million, one hundred fourteen thousand, two hundred forty".