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21144430240 = 255349378661
BaseRepresentation
bin10011101100010011…
…100110011010100000
32000120120222100101221
4103230103212122200
5321300433231430
613414050304424
71345656456133
oct235423463240
960516870357
1021144430240
118a7053043a
124121288114
131cbc8137ab
1410482ac21a
1583b47b57a
hex4ec4e66a0

21144430240 has 48 divisors (see below), whose sum is σ = 50096982600. Its totient is φ = 8433515520.

The previous prime is 21144430157. The next prime is 21144430247. The reversal of 21144430240 is 4203444112.

It can be written as a sum of positive squares in 4 ways, for example, as 21005284624 + 139145616 = 144932^2 + 11796^2 .

It is not an unprimeable number, because it can be changed into a prime (21144430247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133491 + ... + 245170.

Almost surely, 221144430240 is an apocalyptic number.

21144430240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21144430240 is an abundant number, since it is smaller than the sum of its proper divisors (28952552360).

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

21144430240 is a wasteful number, since it uses less digits than its factorization.

21144430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379025 (or 379017 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 21144430240 its reverse (4203444112), we get a palindrome (25347874352).

The spelling of 21144430240 in words is "twenty-one billion, one hundred forty-four million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 349 698 1396 1745 2792 3490 5584 6980 11168 13960 27920 55840 378661 757322 1514644 1893305 3029288 3786610 6058576 7573220 12117152 15146440 30292880 60585760 132152689 264305378 528610756 660763445 1057221512 1321526890 2114443024 2643053780 4228886048 5286107560 10572215120 21144430240