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23027148144 = 2432711131071493
BaseRepresentation
bin10101011100100001…
…100110010101110000
32012102210122022211200
4111130201212111300
5334124422220034
614324543411200
71443430346460
oct253441462560
965383568750
1023027148144
119847252250
1245678b3b00
13222c8a6060
141186357ba0
158eb8c3a99
hex55c866570

23027148144 has 480 divisors, whose sum is σ = 87393406464. Its totient is φ = 5465733120.

The previous prime is 23027148143. The next prime is 23027148187. The reversal of 23027148144 is 44184172032.

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 = 23027148099 and 23027148108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23027148143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15422662 + ... + 15424154.

Almost surely, 223027148144 is an apocalyptic number.

23027148144 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 23027148144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43696703232).

23027148144 is an abundant number, since it is smaller than the sum of its proper divisors (64366258320).

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

23027148144 is a wasteful number, since it uses less digits than its factorization.

23027148144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

It can be divided in two parts, 23027 and 148144, that added together give a palindrome (171171).

The spelling of 23027148144 in words is "twenty-three billion, twenty-seven million, one hundred forty-eight thousand, one hundred forty-four".