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14130442032 = 24374122609
BaseRepresentation
bin11010010100011110…
…10110111100110000
31100110202220211101220
431022033112330300
5212414343121112
610254052225040
71010110530000
oct151217267460
940422824356
1014130442032
115aa12a2273
1228a430b180
131442650905
14980950000
1557a7ec98c
hex34a3d6f30

14130442032 has 100 divisors (see below), whose sum is σ = 42585395640. Its totient is φ = 4037236224.

The previous prime is 14130442031. The next prime is 14130442057. The reversal of 14130442032 is 23024403141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14130441993 and 14130442011.

It is not an unprimeable number, because it can be changed into a prime (14130442031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53944 + ... + 176552.

Almost surely, 214130442032 is an apocalyptic number.

14130442032 is a gapful number since it is divisible by the number (12) 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 14130442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21292697820).

14130442032 is an abundant number, since it is smaller than the sum of its proper divisors (28454953608).

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

14130442032 is an equidigital number, since it uses as much as digits as its factorization.

14130442032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122648 (or 122621 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14130442032 its reverse (23024403141), we get a palindrome (37154845173).

The spelling of 14130442032 in words is "fourteen billion, one hundred thirty million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2401 2744 4116 4802 5488 7203 8232 9604 14406 16464 19208 28812 38416 57624 115248 122609 245218 367827 490436 735654 858263 980872 1471308 1716526 1961744 2574789 2942616 3433052 5149578 5885232 6007841 6866104 10299156 12015682 13732208 18023523 20598312 24031364 36047046 41196624 42054887 48062728 72094092 84109774 96125456 126164661 144188184 168219548 252329322 288376368 294384209 336439096 504658644 588768418 672878192 883152627 1009317288 1177536836 1766305254 2018634576 2355073672 3532610508 4710147344 7065221016 14130442032