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23404127040 = 263557193173
BaseRepresentation
bin10101110010111111…
…101010001101000000
32020102001222211200000
4111302333222031000
5340412424031130
614430211400000
71455655540350
oct256277521500
966361884600
1023404127040
119a20024058
124651bb3000
13228ca170a8
1411c0448b60
1591ea3b260
hex572fea340

23404127040 has 1344 divisors, whose sum is σ = 105089187840. Its totient is φ = 4837294080.

The previous prime is 23404126919. The next prime is 23404127083. The reversal of 23404127040 is 4072140432.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 23404126995 and 23404127013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 320604444 + ... + 320604516.

It is an arithmetic number, because the mean of its divisors is an integer number (78191360).

Almost surely, 223404127040 is an apocalyptic number.

23404127040 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 23404127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52544593920).

23404127040 is an abundant number, since it is smaller than the sum of its proper divisors (81685060800).

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

23404127040 is a wasteful number, since it uses less digits than its factorization.

23404127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 23404127040 its reverse (4072140432), we get a palindrome (27476267472).

The spelling of 23404127040 in words is "twenty-three billion, four hundred four million, one hundred twenty-seven thousand, forty".