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14334425360 = 2451983113621
BaseRepresentation
bin11010101100110010…
…11111100100010000
31100222222202020220222
431112121133210100
5213324103102420
610330220252212
71015135414403
oct152631374420
940888666828
1014334425360
116096455a32
1229406a1068
1314759a0cc8
1499da8bd3a
1558d692225
hex35665f910

14334425360 has 80 divisors (see below), whose sum is σ = 35504602560. Its totient is φ = 5366499840.

The previous prime is 14334425269. The next prime is 14334425383. The reversal of 14334425360 is 6352443341.

14334425360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×143344253602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14334425360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69350 + ... + 182970.

It is an arithmetic number, because the mean of its divisors is an integer number (443807532).

Almost surely, 214334425360 is an apocalyptic number.

14334425360 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 14334425360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17752301280).

14334425360 is an abundant number, since it is smaller than the sum of its proper divisors (21170177200).

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

14334425360 is a wasteful number, since it uses less digits than its factorization.

14334425360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113736 (or 113730 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

The spelling of 14334425360 in words is "fourteen billion, three hundred thirty-four million, four hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 83 95 152 166 190 304 332 380 415 664 760 830 1328 1520 1577 1660 3154 3320 6308 6640 7885 12616 15770 25232 31540 63080 113621 126160 227242 454484 568105 908968 1136210 1817936 2158799 2272420 4317598 4544840 8635196 9089680 9430543 10793995 17270392 18861086 21587990 34540784 37722172 43175980 47152715 75444344 86351960 94305430 150888688 172703920 179180317 188610860 358360634 377221720 716721268 754443440 895901585 1433442536 1791803170 2866885072 3583606340 7167212680 14334425360