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14123335044 = 22371364120177
BaseRepresentation
bin11010010011101000…
…01111110110000100
31100110021112202110010
431021310033312010
5212411033210134
610253240030220
71006663236630
oct151164176604
940407482403
1014123335044
115a98288725
1228a1a62370
131441032ab0
1497da1ddc0
15579d96ce9
hex349d0fd84

14123335044 has 96 divisors (see below), whose sum is σ = 40624609536. Its totient is φ = 3718840320.

The previous prime is 14123335033. The next prime is 14123335073. The reversal of 14123335044 is 44053332141.

14123335044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 689884 + ... + 710060.

It is an arithmetic number, because the mean of its divisors is an integer number (423173016).

Almost surely, 214123335044 is an apocalyptic number.

14123335044 is a gapful number since it is divisible by the number (14) 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 14123335044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20312304768).

14123335044 is an abundant number, since it is smaller than the sum of its proper divisors (26501274492).

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

14123335044 is a wasteful number, since it uses less digits than its factorization.

14123335044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20845 (or 20843 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 14123335044 its reverse (44053332141), we get a palindrome (58176667185).

The spelling of 14123335044 in words is "fourteen billion, one hundred twenty-three million, three hundred thirty-five thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 641 1092 1282 1923 2564 3846 4487 7692 8333 8974 13461 16666 17948 20177 24999 26922 33332 40354 49998 53844 58331 60531 80708 99996 116662 121062 141239 174993 233324 242124 262301 282478 349986 423717 524602 564956 699972 786903 847434 1049204 1573806 1694868 1836107 3147612 3672214 5508321 7344428 11016642 12933457 22033284 25866914 38800371 51733828 77600742 90534199 155201484 168134941 181068398 271602597 336269882 362136796 504404823 543205194 672539764 1008809646 1086410388 1176944587 2017619292 2353889174 3530833761 4707778348 7061667522 14123335044