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21144145104 = 2432563260807
BaseRepresentation
bin10011101100010010…
…100000110011010000
32000120120102212021100
4103230102200303100
5321300400120404
613414040224400
71345654160625
oct235422406320
960516385240
1021144145104
118a70356195
12412116b100
131cbc743a84
14104823634c
1583b421d39
hex4ec4a0cd0

21144145104 has 60 divisors (see below), whose sum is σ = 59279571936. Its totient is φ = 7035502656.

The previous prime is 21144145091. The next prime is 21144145133. The reversal of 21144145104 is 40154144112.

It is a happy number.

21144145104 is a `hidden beast` number, since 2 + 1 + 144 + 1 + 4 + 510 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49332 + ... + 211475.

Almost surely, 221144145104 is an apocalyptic number.

21144145104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21144145104 is an abundant number, since it is smaller than the sum of its proper divisors (38135426832).

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

21144145104 is a wasteful number, since it uses less digits than its factorization.

21144145104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261384 (or 261375 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 21144145104 its reverse (40154144112), we get a palindrome (61298289216).

The spelling of 21144145104 in words is "twenty-one billion, one hundred forty-four million, one hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 563 1126 1689 2252 3378 4504 5067 6756 9008 10134 13512 20268 27024 40536 81072 260807 521614 782421 1043228 1564842 2086456 2347263 3129684 4172912 4694526 6259368 9389052 12518736 18778104 37556208 146834341 293668682 440503023 587337364 881006046 1174674728 1321509069 1762012092 2349349456 2643018138 3524024184 5286036276 7048048368 10572072552 21144145104