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14344044240 = 2435101591751
BaseRepresentation
bin11010101101111100…
…01011111011010000
31101000122211221112210
431112332023323100
5213334033403430
610331202352120
71015313235651
oct152676137320
941018757483
1014344044240
1160a0925819
12294395b640
13147798b256
149a1073528
1558e4422b0
hex356f8bed0

14344044240 has 80 divisors (see below), whose sum is σ = 44906875776. Its totient is φ = 3787200000.

The previous prime is 14344044199. The next prime is 14344044241. The reversal of 14344044240 is 4244044341.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14344044198 and 14344044207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14344044241) 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, 271636 + ... + 320115.

Almost surely, 214344044240 is an apocalyptic number.

14344044240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14344044240 is an abundant number, since it is smaller than the sum of its proper divisors (30562831536).

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

14344044240 is a wasteful number, since it uses less digits than its factorization.

14344044240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591868 (or 591862 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 14344044240 its reverse (4244044341), we get a palindrome (18588088581).

The spelling of 14344044240 in words is "fourteen billion, three hundred forty-four million, forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 591751 1183502 1775253 2367004 2958755 3550506 4734008 5917510 7101012 8876265 9468016 11835020 14202024 17752530 23670040 28404048 35505060 47340080 59766851 71010120 119533702 142020240 179300553 239067404 298834255 358601106 478134808 597668510 717202212 896502765 956269616 1195337020 1434404424 1793005530 2390674040 2868808848 3586011060 4781348080 7172022120 14344044240