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14355131240 = 2353719315023
BaseRepresentation
bin11010101111010000…
…11110101101101000
31101001102201020001102
431113220132231220
5213344403144430
610332240140532
71015506413402
oct152750365550
941042636042
1014355131240
1160a710862a
122947607748
13147a0707c8
149a271bb72
155903d2345
hex357a1eb68

14355131240 has 64 divisors (see below), whose sum is σ = 33195778560. Its totient is φ = 5582856960.

The previous prime is 14355131179. The next prime is 14355131257. The reversal of 14355131240 is 4213155341.

It is an unprimeable number.

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, 2855369 + ... + 2860391.

It is an arithmetic number, because the mean of its divisors is an integer number (518684040).

Almost surely, 214355131240 is an apocalyptic number.

14355131240 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 14355131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597889280).

14355131240 is an abundant number, since it is smaller than the sum of its proper divisors (18840647320).

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

14355131240 is a wasteful number, since it uses less digits than its factorization.

14355131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 14355131240 its reverse (4213155341), we get a palindrome (18568286581).

The spelling of 14355131240 in words is "fourteen billion, three hundred fifty-five million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 1931 3862 5023 7724 9655 10046 15448 19310 20092 25115 38620 40184 50230 71447 77240 100460 142894 185851 200920 285788 357235 371702 571576 714470 743404 929255 1428940 1486808 1858510 2857880 3717020 7434040 9699413 19398826 38797652 48497065 77595304 96994130 193988260 358878281 387976520 717756562 1435513124 1794391405 2871026248 3588782810 7177565620 14355131240