Search a number
-
+
23451405120 = 2636511131937
BaseRepresentation
bin10101110101110100…
…000000101101000000
32020112100221211000000
4111311310000231000
5341012024430440
614435021000000
71460101440333
oct256564005500
966470854000
1023451405120
119a44785850
1246659b3000
13229975b5a0
1411c683461a
15923c79730
hex575d00b40

23451405120 has 1568 divisors, whose sum is σ = 106340330880. Its totient is φ = 4837294080.

The previous prime is 23451405119. The next prime is 23451405161. The reversal of 23451405120 is 2150415432.

23451405120 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 140 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 633821742 + ... + 633821778.

Almost surely, 223451405120 is an apocalyptic number.

23451405120 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 23451405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53170165440).

23451405120 is an abundant number, since it is smaller than the sum of its proper divisors (82888925760).

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

23451405120 is a wasteful number, since it uses less digits than its factorization.

23451405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 23451405120 in words is "twenty-three billion, four hundred fifty-one million, four hundred five thousand, one hundred twenty".