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24114065130 = 23253741239739
BaseRepresentation
bin10110011101010011…
…110110111011101010
32022020112212102122100
4112131103312323222
5343341200041010
615024452034230
71512366112611
oct263523667352
968215772570
1024114065130
11a254841051
12480b902976
132373b25abc
14124a84c878
159620232c0
hex59d4f6eea

24114065130 has 192 divisors, whose sum is σ = 66327206400. Its totient is φ = 6070256640.

The previous prime is 24114065119. The next prime is 24114065141. The reversal of 24114065130 is 3156041142.

It is a happy number.

24114065130 is a `hidden beast` number, since 2 + 4 + 1 + 1 + 4 + 0 + 651 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (24114065119) and next prime (24114065141).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 24114065094 and 24114065103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32630301 + ... + 32631039.

It is an arithmetic number, because the mean of its divisors is an integer number (345454200).

Almost surely, 224114065130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24114065130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33163603200).

24114065130 is an abundant number, since it is smaller than the sum of its proper divisors (42213141270).

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

24114065130 is a wasteful number, since it uses less digits than its factorization.

24114065130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 24114065130 in words is "twenty-four billion, one hundred fourteen million, sixty-five thousand, one hundred thirty".