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421314937020 = 22325233110132503
BaseRepresentation
bin1100010000110000101…
…00111100000010111100
31111021111011101100201200
412020120110330002330
523400323110441040
6521314401135500
742303401606355
oct6103024740274
91437434340650
10421314937020
1115275133102a
12697a162a590
1330964580a03
141656ad76d2c
15ae5cd05630
hex621853c0bc

421314937020 has 288 divisors, whose sum is σ = 1390243405824. Its totient is φ = 102966336000.

The previous prime is 421314937009. The next prime is 421314937103. The reversal of 421314937020 is 20739413124.

It is a happy number.

421314937020 is a `hidden beast` number, since 421 + 3 + 149 + 3 + 70 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12946089 + ... + 12978591.

It is an arithmetic number, because the mean of its divisors is an integer number (4827234048).

Almost surely, 2421314937020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421314937020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695121702912).

421314937020 is an abundant number, since it is smaller than the sum of its proper divisors (968928468804).

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

421314937020 is a wasteful number, since it uses less digits than its factorization.

421314937020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32673 (or 32668 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 421314937020 in words is "four hundred twenty-one billion, three hundred fourteen million, nine hundred thirty-seven thousand, twenty".