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21424455144 = 2332317938681
BaseRepresentation
bin10011111100111111…
…110011110111101000
32001022002220002100200
4103330333303313220
5322334130031034
613501532232200
71355626602231
oct237477636750
961262802320
1021424455144
1190a4601284
12419b00b660
1320358395c1
141073562088
15855d41a99
hex4fcff3de8

21424455144 has 48 divisors (see below), whose sum is σ = 58207670820. Its totient is φ = 7118949120.

The previous prime is 21424455131. The next prime is 21424455161. The reversal of 21424455144 is 44155442412.

21424455144 is a `hidden beast` number, since 21 + 4 + 2 + 44 + 551 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19248232644 + 2176222500 = 138738^2 + 46650^2 .

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 = 21424455099 and 21424455108.

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, 446517 + ... + 492164.

Almost surely, 221424455144 is an apocalyptic number.

21424455144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21424455144 is an abundant number, since it is smaller than the sum of its proper divisors (36783215676).

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

21424455144 is a wasteful number, since it uses less digits than its factorization.

21424455144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939010 (or 939003 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

Adding to 21424455144 its reverse (44155442412), we get a palindrome (65579897556).

The spelling of 21424455144 in words is "twenty-one billion, four hundred twenty-four million, four hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 317 634 951 1268 1902 2536 2853 3804 5706 7608 11412 22824 938681 1877362 2816043 3754724 5632086 7509448 8448129 11264172 16896258 22528344 33792516 67585032 297561877 595123754 892685631 1190247508 1785371262 2380495016 2678056893 3570742524 5356113786 7141485048 10712227572 21424455144