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21244414032 = 24321131305581
BaseRepresentation
bin10011110010010001…
…000000100001010000
32000211120010001101100
4103302101000201100
5322002032222112
613432021304400
71351312353102
oct236221004120
960746101340
1021244414032
119011a10776
12414a865100
13200744caba
141057697572
1584512b2dc
hex4f2440850

21244414032 has 60 divisors (see below), whose sum is σ = 59981048244. Its totient is φ = 7018798080.

The previous prime is 21244414003. The next prime is 21244414091. The reversal of 21244414032 is 23041444212.

21244414032 is a `hidden beast` number, since 2 + 1 + 244 + 414 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 859427856 + 20384986176 = 29316^2 + 142776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21244413987 and 21244414005.

It is a congruent number.

It is an unprimeable number.

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, 636519 + ... + 669062.

Almost surely, 221244414032 is an apocalyptic number.

It is an amenable number.

21244414032 is an abundant number, since it is smaller than the sum of its proper divisors (38736634212).

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

21244414032 is a wasteful number, since it uses less digits than its factorization.

21244414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305708 (or 1305699 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21244414032 its reverse (23041444212), we get a palindrome (44285858244).

The spelling of 21244414032 in words is "twenty-one billion, two hundred forty-four million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 1305581 2611162 3916743 5222324 7833486 10444648 11750229 15666972 20889296 23500458 31333944 47000916 62667888 94001832 147530653 188003664 295061306 442591959 590122612 885183918 1180245224 1327775877 1770367836 2360490448 2655551754 3540735672 5311103508 7081471344 10622207016 21244414032