Search a number
-
+
14024144240 = 2455928310499
BaseRepresentation
bin11010000111110011…
…10111010101110000
31100012100220100020122
431003321313111300
5212210140103430
610235334025412
71004350154621
oct150371672560
940170810218
1014024144240
115a4729a157
1228747a8268
131426613702
1497079da48
15571301ee5
hex343e77570

14024144240 has 80 divisors (see below), whose sum is σ = 33279120000. Its totient is φ = 5494569216.

The previous prime is 14024144221. The next prime is 14024144243. The reversal of 14024144240 is 4244142041.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14024144243) 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 15 ways as a sum of consecutive naturals, for example, 1330511 + ... + 1341009.

It is an arithmetic number, because the mean of its divisors is an integer number (415989000).

Almost surely, 214024144240 is an apocalyptic number.

14024144240 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 14024144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16639560000).

14024144240 is an abundant number, since it is smaller than the sum of its proper divisors (19254975760).

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

14024144240 is a wasteful number, since it uses less digits than its factorization.

14024144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10854 (or 10848 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 14024144240 its reverse (4244142041), we get a palindrome (18268286281).

It can be divided in two parts, 140241 and 44240, that added together give a palindrome (184481).

The spelling of 14024144240 in words is "fourteen billion, twenty-four million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 283 295 472 566 590 944 1132 1180 1415 2264 2360 2830 4528 4720 5660 10499 11320 16697 20998 22640 33394 41996 52495 66788 83485 83992 104990 133576 166970 167984 209980 267152 333940 419960 619441 667880 839920 1238882 1335760 2477764 2971217 3097205 4955528 5942434 6194410 9911056 11884868 12388820 14856085 23769736 24777640 29712170 47539472 49555280 59424340 118848680 175301803 237697360 350603606 701207212 876509015 1402414424 1753018030 2804828848 3506036060 7012072120 14024144240