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44014146320 = 2455988710513
BaseRepresentation
bin101000111111011100…
…101001001100010000
311012121102101022001102
4220333130221030100
51210120110140240
632115251523532
73115466033204
oct507734511420
9135542338042
1044014146320
1117736924641
1286442b95a8
1341c58b7b81
1421b7764b04
151229103815
hexa3f729310

44014146320 has 80 divisors (see below), whose sum is σ = 104194581120. Its totient is φ = 17286100992.

The previous prime is 44014146311. The next prime is 44014146331. The reversal of 44014146320 is 2364141044.

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

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, 4181384 + ... + 4191896.

It is an arithmetic number, because the mean of its divisors is an integer number (1302432264).

Almost surely, 244014146320 is an apocalyptic number.

44014146320 is a gapful number since it is divisible by the number (40) 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 44014146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52097290560).

44014146320 is an abundant number, since it is smaller than the sum of its proper divisors (60180434800).

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

44014146320 is a wasteful number, since it uses less digits than its factorization.

44014146320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11472 (or 11466 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 44014146320 its reverse (2364141044), we get a palindrome (46378287364).

The spelling of 44014146320 in words is "forty-four billion, fourteen million, one hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 887 944 1180 1774 2360 3548 4435 4720 7096 8870 10513 14192 17740 21026 35480 42052 52333 52565 70960 84104 104666 105130 168208 209332 210260 261665 418664 420520 523330 620267 837328 841040 1046660 1240534 2093320 2481068 3101335 4186640 4962136 6202670 9325031 9924272 12405340 18650062 24810680 37300124 46625155 49621360 74600248 93250310 149200496 186500620 373001240 550176829 746002480 1100353658 2200707316 2750884145 4401414632 5501768290 8802829264 11003536580 22007073160 44014146320