Search a number
-
+
369042498144 = 253819711303
BaseRepresentation
bin1010101111011001010…
…01011010001001100000
31022021120012120100000000
411113230221122021200
522021244334420034
6441311421300000
735443134322365
oct5275451321140
91267505510000
10369042498144
11132567962021
125b633704600
1328a53a989c8
1413c0c91046c
1598edbd5599
hex55eca5a260

369042498144 has 432 divisors, whose sum is σ = 1164179278080. Its totient is φ = 114810151680.

The previous prime is 369042498113. The next prime is 369042498179. The reversal of 369042498144 is 441894240963.

369042498144 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 4 + 2 + 498 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283224597 + ... + 283225899.

It is an arithmetic number, because the mean of its divisors is an integer number (2694859440).

Almost surely, 2369042498144 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 369042498144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582089639040).

369042498144 is an abundant number, since it is smaller than the sum of its proper divisors (795136779936).

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

369042498144 is an equidigital number, since it uses as much as digits as its factorization.

369042498144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 369042498144 in words is "three hundred sixty-nine billion, forty-two million, four hundred ninety-eight thousand, one hundred forty-four".