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14233000340 = 22513165733037
BaseRepresentation
bin11010100000101101…
…00101100110010100
31100201220220022221202
431100112211212110
5213122122002330
610312154332032
71012464335546
oct152026454624
940656808852
1014233000340
1160441808a9
12291272a018
13145a97b9c0
14990409696
1558480a445
hex3505a5994

14233000340 has 48 divisors (see below), whose sum is σ = 32208878352. Its totient is φ = 5251931136.

The previous prime is 14233000297. The next prime is 14233000343. The reversal of 14233000340 is 4300033241.

It can be written as a sum of positive squares in 8 ways, for example, as 6363891076 + 7869109264 = 79774^2 + 88708^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14233000343) 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, 414302 + ... + 447338.

It is an arithmetic number, because the mean of its divisors is an integer number (671018299).

Almost surely, 214233000340 is an apocalyptic number.

14233000340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14233000340 is an abundant number, since it is smaller than the sum of its proper divisors (17975878012).

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

14233000340 is a wasteful number, since it uses less digits than its factorization.

14233000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34716 (or 34714 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 14233000340 its reverse (4300033241), we get a palindrome (18533033581).

The spelling of 14233000340 in words is "fourteen billion, two hundred thirty-three million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1657 3314 6628 8285 16570 21541 33037 33140 43082 66074 86164 107705 132148 165185 215410 330370 429481 430820 660740 858962 1717924 2147405 4294810 8589620 54742309 109484618 218969236 273711545 547423090 711650017 1094846180 1423300034 2846600068 3558250085 7116500170 14233000340