Search a number
-
+
14444301717460 = 2257152201194863
BaseRepresentation
bin1101001000110001001101…
…1110010000111111010100
31220010212021012222202020201
43102030103132100333110
53343123412214424320
650415342014510244
73020365155550516
oct322142336207724
956125235882221
1014444301717460
11466988083701a
12175349b505384
1380a126915994
1437d172251bb6
151a0ae1ca170a
hexd2313790fd4

14444301717460 has 48 divisors (see below), whose sum is σ = 30761006556672. Its totient is φ = 5696205984000.

The previous prime is 14444301717383. The next prime is 14444301717463. The reversal of 14444301717460 is 6471710344441.

It is a happy number.

14444301717460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14444301717460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444301717463) 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, 74027989 + ... + 74222851.

It is an arithmetic number, because the mean of its divisors is an integer number (640854303264).

Almost surely, 214444301717460 is an apocalyptic number.

14444301717460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444301717460 is an abundant number, since it is smaller than the sum of its proper divisors (16316704839212).

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

14444301717460 is a wasteful number, since it uses less digits than its factorization.

14444301717460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247144 (or 247142 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 14444301717460 in words is "fourteen trillion, four hundred forty-four billion, three hundred one million, seven hundred seventeen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 52201 104402 194863 208804 261005 389726 522010 779452 974315 1044020 1948630 3706271 3897260 7412542 13835273 14825084 18531355 27670546 37062710 55341092 69176365 74125420 138352730 276705460 10172043463 20344086926 40688173852 50860217315 101720434630 203440869260 722215085873 1444430171746 2888860343492 3611075429365 7222150858730 14444301717460