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21443422240 = 255541247729
BaseRepresentation
bin10011111110001000…
…001010100000100000
32001100102120201022201
4103332020022200200
5322404004002430
613503450542544
71356250040002
oct237610124040
961312521281
1021443422240
119104286569
1241a5437a54
13203974a836
141075c9c372
1585783b8ca
hex4fe20a820

21443422240 has 48 divisors (see below), whose sum is σ = 50753931480. Its totient is φ = 8561479680.

The previous prime is 21443422229. The next prime is 21443422283. The reversal of 21443422240 is 4222434412.

It can be written as a sum of positive squares in 4 ways, for example, as 20354158224 + 1089264016 = 142668^2 + 33004^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21443422199 and 21443422208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37305 + ... + 210424.

Almost surely, 221443422240 is an apocalyptic number.

21443422240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21443422240 is an abundant number, since it is smaller than the sum of its proper divisors (29310509240).

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

21443422240 is a wasteful number, since it uses less digits than its factorization.

21443422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248285 (or 248277 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 21443422240 its reverse (4222434412), we get a palindrome (25665856652).

The spelling of 21443422240 in words is "twenty-one billion, four hundred forty-three million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 541 1082 2164 2705 4328 5410 8656 10820 17312 21640 43280 86560 247729 495458 990916 1238645 1981832 2477290 3963664 4954580 7927328 9909160 19818320 39636640 134021389 268042778 536085556 670106945 1072171112 1340213890 2144342224 2680427780 4288684448 5360855560 10721711120 21443422240