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21544142544 = 24321481101021
BaseRepresentation
bin10100000100001000…
…011000011011010000
32001121110002211121100
4110010020120123100
5323110300030134
613521445424400
71361612122131
oct240410303320
961543084540
1021544142544
11915611a191
12421310b100
132054584152
1410853d9c88
158615d4999
hex5042186d0

21544142544 has 60 divisors (see below), whose sum is σ = 60334985412. Its totient is φ = 7176460800.

The previous prime is 21544142539. The next prime is 21544142549. The reversal of 21544142544 is 44524144512.

21544142544 is a `hidden beast` number, since 2 + 154 + 41 + 425 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (21544142539) and next prime (21544142549).

It can be written as a sum of positive squares in 2 ways, for example, as 3319142544 + 18225000000 = 57612^2 + 135000^2 .

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 = 21544142499 and 21544142508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21544142549) 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 11 ways as a sum of consecutive naturals, for example, 162754 + ... + 263774.

Almost surely, 221544142544 is an apocalyptic number.

21544142544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21544142544 is an abundant number, since it is smaller than the sum of its proper divisors (38790842868).

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

21544142544 is a wasteful number, since it uses less digits than its factorization.

21544142544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102516 (or 102507 counting only the distinct ones).

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

The spelling of 21544142544 in words is "twenty-one billion, five hundred forty-four million, one hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1481 2962 4443 5924 8886 11848 13329 17772 23696 26658 35544 53316 71088 101021 106632 202042 213264 303063 404084 606126 808168 909189 1212252 1616336 1818378 2424504 3636756 4849008 7273512 14547024 149612101 299224202 448836303 598448404 897672606 1196896808 1346508909 1795345212 2393793616 2693017818 3590690424 5386035636 7181380848 10772071272 21544142544