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14024124224 = 2611311574093
BaseRepresentation
bin11010000111110011…
…10010011101000000
31100012100212022210022
431003321302131000
5212210133433344
610235333353012
71004350042355
oct150371623500
940170768708
1014024124224
115a47286110
122874798768
131426607576
1497079662c
155712eb0ee
hex343e72740

14024124224 has 112 divisors (see below), whose sum is σ = 31545678336. Its totient is φ = 6128179200.

The previous prime is 14024124221. The next prime is 14024124227. The reversal of 14024124224 is 42242142041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14024124221) and next prime (14024124227).

It is a junction number, because it is equal to n+sod(n) for n = 14024124193 and 14024124202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14024124221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3424322 + ... + 3428414.

Almost surely, 214024124224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14024124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772839168).

14024124224 is an abundant number, since it is smaller than the sum of its proper divisors (17521554112).

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

14024124224 is a wasteful number, since it uses less digits than its factorization.

14024124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 14024124224 its reverse (42242142041), we get a palindrome (56266266265).

The spelling of 14024124224 in words is "fourteen billion, twenty-four million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 157 176 248 314 341 352 496 628 682 704 992 1256 1364 1727 1984 2512 2728 3454 4093 4867 5024 5456 6908 8186 9734 10048 10912 13816 16372 19468 21824 27632 32744 38936 45023 53537 55264 65488 77872 90046 107074 110528 126883 130976 155744 180092 214148 253766 261952 311488 360184 428296 507532 642601 720368 856592 1015064 1285202 1395713 1440736 1713184 2030128 2570404 2791426 2881472 3426368 4060256 5140808 5582852 7068611 8120512 10281616 11165704 14137222 19920631 20563232 22331408 28274444 39841262 41126464 44662816 56548888 79682524 89325632 113097776 159365048 219126941 226195552 318730096 438253882 452391104 637460192 876507764 1274920384 1753015528 3506031056 7012062112 14024124224