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14024400520 = 2351394128661
BaseRepresentation
bin11010000111110101…
…10101111010001000
31100012101101100210111
431003322311322020
5212210221304040
610235343324104
71004352303034
oct150372657210
940171340714
1014024400520
115a47454759
1228748b0634
1314266a3260
149708291c4
15571352dea
hex343eb5e88

14024400520 has 64 divisors (see below), whose sum is σ = 34019501040. Its totient is φ = 5172556800.

The previous prime is 14024400497. The next prime is 14024400539. The reversal of 14024400520 is 2500442041.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8787562564 + 5236837956 = 93742^2 + 72366^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14024400491 and 14024400500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474990 + ... + 503650.

Almost surely, 214024400520 is an apocalyptic number.

14024400520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14024400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17009750520).

14024400520 is an abundant number, since it is smaller than the sum of its proper divisors (19995100520).

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

14024400520 is a wasteful number, since it uses less digits than its factorization.

14024400520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29626 (or 29622 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 14024400520 its reverse (2500442041), we get a palindrome (16524842561).

The spelling of 14024400520 in words is "fourteen billion, twenty-four million, four hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 941 1882 3764 4705 7528 9410 12233 18820 24466 28661 37640 48932 57322 61165 97864 114644 122330 143305 229288 244660 286610 372593 489320 573220 745186 1146440 1490372 1862965 2980744 3725930 7451860 14903720 26970001 53940002 107880004 134850005 215760008 269700010 350610013 539400020 701220026 1078800040 1402440052 1753050065 2804880104 3506100130 7012200260 14024400520