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14242302224 = 2431127311727
BaseRepresentation
bin11010100001110100…
…00100100100010000
31100202120101220201222
431100322010210100
5213132012132344
610313125544212
71012636400003
oct152072044420
940676356658
1014242302224
116049454507
122915875068
13145c887887
1499174b53a
155855465ee
hex350e84910

14242302224 has 80 divisors (see below), whose sum is σ = 28840820736. Its totient is φ = 6805814400.

The previous prime is 14242302203. The next prime is 14242302251. The reversal of 14242302224 is 42220324241.

It is a junction number, because it is equal to n+sod(n) for n = 14242302193 and 14242302202.

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, 19590149 + ... + 19590875.

Almost surely, 214242302224 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 14242302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14420410368).

14242302224 is an abundant number, since it is smaller than the sum of its proper divisors (14598518512).

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

14242302224 is a wasteful number, since it uses less digits than its factorization.

14242302224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 14242302224 its reverse (42220324241), we get a palindrome (56462626465).

The spelling of 14242302224 in words is "fourteen billion, two hundred forty-two million, three hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 127 248 254 311 496 508 622 727 1016 1244 1454 2032 2488 2908 3937 4976 5816 7874 9641 11632 15748 19282 22537 31496 38564 39497 45074 62992 77128 78994 90148 92329 154256 157988 180296 184658 226097 315976 360592 369316 452194 631952 738632 904388 1224407 1477264 1808776 2448814 2862199 3617552 4897628 5724398 7009007 9795256 11448796 14018014 19590512 22897592 28036028 28714319 45795184 56072056 57428638 112144112 114857276 229714552 459429104 890143889 1780287778 3560575556 7121151112 14242302224