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23141718144 = 27356591129
BaseRepresentation
bin10101100011010110…
…101001100010000000
32012201210020002100000
4111203112221202000
5334343234440034
614344155200000
71446321234006
oct254326514200
965653202300
1023141718144
1198a59953a6
12459a146000
13224a54b55c
14119765ca76
159069a5599
hex5635a9880

23141718144 has 192 divisors, whose sum is σ = 69225156000. Its totient is φ = 7695378432.

The previous prime is 23141718143. The next prime is 23141718151. The reversal of 23141718144 is 44181714132.

23141718144 is a `hidden beast` number, since 23 + 1 + 417 + 181 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 23141718099 and 23141718108.

It is not an unprimeable number, because it can be changed into a prime (23141718143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20496972 + ... + 20498100.

Almost surely, 223141718144 is an apocalyptic number.

23141718144 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 23141718144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34612578000).

23141718144 is an abundant number, since it is smaller than the sum of its proper divisors (46083437856).

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

23141718144 is an equidigital number, since it uses as much as digits as its factorization.

23141718144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1793 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The spelling of 23141718144 in words is "twenty-three billion, one hundred forty-one million, seven hundred eighteen thousand, one hundred forty-four".