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14044201412310 = 23254326313798451
BaseRepresentation
bin1100110001011110101110…
…1000101110011011010110
31211201121112112200100110100
43030113223220232123112
53320100011030143220
645511452252434530
72646442255223616
oct314275350563326
954647475610410
1014044201412310
114525126624a03
1216a9a3a778a46
137ab493587ca4
14367a58a1ca46
151954c6692d90
hexcc5eba2e6d6

14044201412310 has 96 divisors (see below), whose sum is σ = 37506179513088. Its totient is φ = 3644115451200.

The previous prime is 14044201412299. The next prime is 14044201412317. The reversal of 14044201412310 is 1321410244041.

14044201412310 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 420 + 1 + 4 + 1 + 231 + 0 = 666.

It is a super-2 number, since 2×140442014123102 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14044201412317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5881416 + ... + 7917035.

It is an arithmetic number, because the mean of its divisors is an integer number (390689369928).

Almost surely, 214044201412310 is an apocalyptic number.

14044201412310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14044201412310 is an abundant number, since it is smaller than the sum of its proper divisors (23461978100778).

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

14044201412310 is a wasteful number, since it uses less digits than its factorization.

14044201412310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13798770 (or 13798767 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14044201412310 its reverse (1321410244041), we get a palindrome (15365611656351).

The spelling of 14044201412310 in words is "fourteen trillion, forty-four billion, two hundred one million, four hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 263 387 430 526 645 774 789 1290 1315 1578 1935 2367 2630 3870 3945 4734 7890 11309 11835 22618 23670 33927 56545 67854 101781 113090 169635 203562 339270 508905 1017810 13798451 27596902 41395353 68992255 82790706 124186059 137984510 206976765 248372118 413953530 593333393 620930295 1186666786 1241860590 1780000179 2966666965 3560000358 3628992613 5340000537 5933333930 7257985226 8900000895 10680001074 10886977839 17800001790 18144963065 21773955678 26700002685 32660933517 36289926130 53400005370 54434889195 65321867034 108869778390 156046682359 163304667585 312093364718 326609335170 468140047077 780233411795 936280094154 1404420141231 1560466823590 2340700235385 2808840282462 4681400470770 7022100706155 14044201412310