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23412771144 = 2333731729641
BaseRepresentation
bin10101110011100000…
…101000100101001000
32020102200021000011000
4111303200220211020
5340422132134034
614431120535000
71456122162000
oct256340504510
966380230130
1023412771144
119a24998544
124654a81460
132291752749
1411c1659000
15920697599
hex573828948

23412771144 has 512 divisors, whose sum is σ = 83203200000. Its totient is φ = 6069288960.

The previous prime is 23412771139. The next prime is 23412771157. The reversal of 23412771144 is 44117721432.

23412771144 is a `hidden beast` number, since 2 + 341 + 277 + 1 + 1 + 44 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23412771099 and 23412771108.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36525064 + ... + 36525704.

It is an arithmetic number, because the mean of its divisors is an integer number (162506250).

Almost surely, 223412771144 is an apocalyptic number.

23412771144 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 23412771144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41601600000).

23412771144 is an abundant number, since it is smaller than the sum of its proper divisors (59790428856).

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

23412771144 is a wasteful number, since it uses less digits than its factorization.

23412771144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 699 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The spelling of 23412771144 in words is "twenty-three billion, four hundred twelve million, seven hundred seventy-one thousand, one hundred forty-four".