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14688114272 = 25132310714347
BaseRepresentation
bin11011010110111101…
…01101011001100000
31101220122021111220022
431223132231121200
5220040124124042
610425253133012
71026661624406
oct155336553140
941818244808
1014688114272
11625806a717
122a1b02a168
1315010492a0
149d4a39476
155ae758cd2
hex36b7ad660

14688114272 has 96 divisors (see below), whose sum is σ = 32801594112. Its totient is φ = 6423335424.

The previous prime is 14688114239. The next prime is 14688114347. The reversal of 14688114272 is 27241188641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1016603 + ... + 1030949.

It is an arithmetic number, because the mean of its divisors is an integer number (341683272).

Almost surely, 214688114272 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 14688114272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400797056).

14688114272 is an abundant number, since it is smaller than the sum of its proper divisors (18113479840).

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

14688114272 is a wasteful number, since it uses less digits than its factorization.

14688114272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14500 (or 14492 counting only the distinct ones).

The product of its digits is 172032, while the sum is 44.

The spelling of 14688114272 in words is "fourteen billion, six hundred eighty-eight million, one hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 107 184 208 214 299 368 416 428 598 736 856 1196 1391 1712 2392 2461 2782 3424 4784 4922 5564 9568 9844 11128 14347 19688 22256 28694 31993 39376 44512 57388 63986 78752 114776 127972 186511 229552 255944 329981 373022 459104 511888 659962 746044 1023776 1319924 1492088 1535129 2639848 2984176 3070258 4289753 5279696 5968352 6140516 8579506 10559392 12281032 17159012 19956677 24562064 34318024 35307967 39913354 49124128 68636048 70615934 79826708 137272096 141231868 159653416 282463736 319306832 459003571 564927472 638613664 918007142 1129854944 1836014284 3672028568 7344057136 14688114272