Search a number
-
+
23304614420304 = 2432737673928463
BaseRepresentation
bin1010100110010000001110…
…10000111001111101010000
310001111220021122111122111200
411103020013100321331100
511023310322242422204
6121321554141511200
74623463033103640
oct523100720717520
9101456248448450
1023304614420304
117475482321308
122744710272500
13100080093b349
145a7d41068520
152a6316e29539
hex153207439f50

23304614420304 has 240 divisors, whose sum is σ = 76666139576832. Its totient is φ = 6468869578752.

The previous prime is 23304614420303. The next prime is 23304614420363. The reversal of 23304614420304 is 40302441640332.

23304614420304 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 4 + 614 + 4 + 2 + 0 + 30 + 4 = 666.

It is a super-2 number, since 2×233046144203042 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23304614420303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24635977 + ... + 25564439.

Almost surely, 223304614420304 is an apocalyptic number.

23304614420304 is a gapful number since it is divisible by the number (24) 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 23304614420304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38333069788416).

23304614420304 is an abundant number, since it is smaller than the sum of its proper divisors (53361525156528).

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

23304614420304 is a wasteful number, since it uses less digits than its factorization.

23304614420304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929194 (or 929185 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 23304614420304 in words is "twenty-three trillion, three hundred four billion, six hundred fourteen million, four hundred twenty thousand, three hundred four".