Search a number
-
+
421774307136 = 263271319423509
BaseRepresentation
bin1100010001100111011…
…01010010111101000000
31111022200011202210001200
412020303231102331000
523402243210312021
6521432131101200
742320650313010
oct6106355227500
91438604683050
10421774307136
11152967667656
12698ab441800
1330a087ab650
14165b1d93c40
15ae882e5126
hex6233b52f40

421774307136 has 336 divisors, whose sum is σ = 1566241622400. Its totient is φ = 105382342656.

The previous prime is 421774307107. The next prime is 421774307161. The reversal of 421774307136 is 631703477124.

It is a happy number.

421774307136 is a `hidden beast` number, since 42 + 177 + 4 + 307 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×4217743071363 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 421774307091 and 421774307100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784150 + ... + 1207658.

It is an arithmetic number, because the mean of its divisors is an integer number (4661433400).

Almost surely, 2421774307136 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 421774307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783120811200).

421774307136 is an abundant number, since it is smaller than the sum of its proper divisors (1144467315264).

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

421774307136 is a wasteful number, since it uses less digits than its factorization.

421774307136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423566 (or 423553 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 421774307136 in words is "four hundred twenty-one billion, seven hundred seventy-four million, three hundred seven thousand, one hundred thirty-six".