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23141744640 = 21632571959
BaseRepresentation
bin10101100011010110…
…110000000000000000
32012201210021102200100
4111203112300000000
5334343241312030
614344155522400
71446321404160
oct254326600000
965653242610
1023141744640
1198a5a032a3
12459a159400
13224a55a631
1411976685a0
159069ad360
hex5635b0000

23141744640 has 816 divisors, whose sum is σ = 98145964800. Its totient is φ = 4926210048.

The previous prime is 23141744629. The next prime is 23141744641. The reversal of 23141744640 is 4644714132.

23141744640 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 1 + 7 + 4 + 4 + 640 = 666.

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 = 23141744595 and 23141744604.

It is not an unprimeable number, because it can be changed into a prime (23141744641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392232931 + ... + 392232989.

Almost surely, 223141744640 is an apocalyptic number.

23141744640 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 23141744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49072982400).

23141744640 is an abundant number, since it is smaller than the sum of its proper divisors (75004220160).

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

23141744640 is an equidigital number, since it uses as much as digits as its factorization.

23141744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 23141744640 in words is "twenty-three billion, one hundred forty-one million, seven hundred forty-four thousand, six hundred forty".