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23988142080 = 2173257283
BaseRepresentation
bin10110010101110011…
…100000000000000000
32021220202220212200200
4112111303200000000
5343111431021310
615004153045200
71506306562200
oct262563400000
967822825620
1023988142080
11a19a754211
1247956b6800
132353a06c16
141237c30400
15955e4c9c0
hex595ce0000

23988142080 has 648 divisors, whose sum is σ = 97900973352. Its totient is φ = 5416943616.

The previous prime is 23988142051. The next prime is 23988142081. The reversal of 23988142080 is 8024188932.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23988142081) 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 35 ways as a sum of consecutive naturals, for example, 289013719 + ... + 289013801.

It is an arithmetic number, because the mean of its divisors is an integer number (151081749).

Almost surely, 223988142080 is an apocalyptic number.

23988142080 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 23988142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48950486676).

23988142080 is an abundant number, since it is smaller than the sum of its proper divisors (73912831272).

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

23988142080 is an frugal number, since it uses more digits than its factorization.

23988142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

It can be divided in two parts, 239881 and 42080, that added together give a square (281961 = 5312).

The spelling of 23988142080 in words is "twenty-three billion, nine hundred eighty-eight million, one hundred forty-two thousand, eighty".