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14042355320 = 2357216742901
BaseRepresentation
bin11010001001111110…
…10101011001111000
31100020122011120011002
431010333111121320
5212224320332240
610241224224132
71004661023300
oct150477253170
940218146132
1014042355320
115a565a8434
12287a90b048
13142a31b7b6
14972d80600
15572becd15
hex344fd5678

14042355320 has 96 divisors (see below), whose sum is σ = 36974659680. Its totient is φ = 4785580800.

The previous prime is 14042355287. The next prime is 14042355323. The reversal of 14042355320 is 2355324041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042355323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305870 + ... + 348770.

It is an arithmetic number, because the mean of its divisors is an integer number (385152705).

Almost surely, 214042355320 is an apocalyptic number.

14042355320 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 14042355320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18487329840).

14042355320 is an abundant number, since it is smaller than the sum of its proper divisors (22932304360).

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

14042355320 is a wasteful number, since it uses less digits than its factorization.

14042355320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43093 (or 43082 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 14042355320 its reverse (2355324041), we get a palindrome (16397679361).

The spelling of 14042355320 in words is "fourteen billion, forty-two million, three hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 167 196 245 280 334 392 490 668 835 980 1169 1336 1670 1960 2338 3340 4676 5845 6680 8183 9352 11690 16366 23380 32732 40915 42901 46760 65464 81830 85802 163660 171604 214505 300307 327320 343208 429010 600614 858020 1201228 1501535 1716040 2102149 2402456 3003070 4204298 6006140 7164467 8408596 10510745 12012280 14328934 16817192 21021490 28657868 35822335 42042980 50151269 57315736 71644670 84085960 100302538 143289340 200605076 250756345 286578680 351058883 401210152 501512690 702117766 1003025380 1404235532 1755294415 2006050760 2808471064 3510588830 7021177660 14042355320