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14312131340 = 22513238772729
BaseRepresentation
bin11010101010001000…
…11100101100001100
31100221102210121021112
431111010130230030
5213302401200330
610324102351152
71014445052303
oct152504345414
940842717245
1014312131340
116084909121
12293512b4b8
131471196690
1499ab2743a
1558b73b795
hex35511cb0c

14312131340 has 96 divisors (see below), whose sum is σ = 33825617280. Its totient is φ = 5047105536.

The previous prime is 14312131333. The next prime is 14312131391. The reversal of 14312131340 is 4313121341.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5243096 + ... + 5245824.

It is an arithmetic number, because the mean of its divisors is an integer number (352350180).

Almost surely, 214312131340 is an apocalyptic number.

14312131340 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 14312131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912808640).

14312131340 is an abundant number, since it is smaller than the sum of its proper divisors (19513485940).

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

14312131340 is a wasteful number, since it uses less digits than its factorization.

14312131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 14312131340 its reverse (4313121341), we get a palindrome (18625252681).

Subtracting from 14312131340 its reverse (4313121341), we obtain a palindrome (9999009999).

The spelling of 14312131340 in words is "fourteen billion, three hundred twelve million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 877 1196 1495 1754 2729 2990 3508 4385 5458 5980 8770 10916 11401 13645 17540 20171 22802 27290 35477 40342 45604 54580 57005 62767 70954 80684 100855 114010 125534 141908 177385 201710 228020 251068 262223 313835 354770 403420 524446 627670 709540 815971 1048892 1255340 1311115 1631942 2393333 2622230 3263884 4079855 4786666 5244460 8159710 9573332 11966665 16319420 23933330 31113329 47866660 55046659 62226658 110093318 124453316 155566645 220186636 275233295 311133290 550466590 622266580 715606567 1100933180 1431213134 2862426268 3578032835 7156065670 14312131340