Search a number
-
+
23450653440 = 28345226183
BaseRepresentation
bin10101110101110001…
…001001001100000000
32020112022112121220000
4111311301021030000
5341011331402230
614434552520000
71460062160004
oct256561111400
966468477800
1023450653440
119a44312025
1246656b0000
1322995573c6
1411c66ba704
15923b7bb60
hex575c49300

23450653440 has 180 divisors, whose sum is σ = 83911097424. Its totient is φ = 6253479936.

The previous prime is 23450653433. The next prime is 23450653459. The reversal of 23450653440 is 4435605432.

23450653440 is a `hidden beast` number, since 2 + 34 + 50 + 6 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 23450653395 and 23450653404.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9412 + ... + 216771.

Almost surely, 223450653440 is an apocalyptic number.

23450653440 is a gapful number since it is divisible by the number (20) 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 23450653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41955548712).

23450653440 is an abundant number, since it is smaller than the sum of its proper divisors (60460443984).

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

23450653440 is an equidigital number, since it uses as much as digits as its factorization.

23450653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226216 (or 226193 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 23450653440 in words is "twenty-three billion, four hundred fifty million, six hundred fifty-three thousand, four hundred forty".