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14035133140 = 22572320172161
BaseRepresentation
bin11010001001000111…
…10010001011010100
31100020010120122011221
431010203302023110
5212220443230030
610240405340124
71004542443340
oct150443621324
940203518157
1014035133140
115a52515296
122878407644
131428990412
14972020620
15572272e7a
hex3448f22d4

14035133140 has 96 divisors (see below), whose sum is σ = 35182554624. Its totient is φ = 4598415360.

The previous prime is 14035133137. The next prime is 14035133143. The reversal of 14035133140 is 4133153041.

It is an interprime number because it is at equal distance from previous prime (14035133137) and next prime (14035133143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14035133143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6493660 + ... + 6495820.

It is an arithmetic number, because the mean of its divisors is an integer number (366484944).

Almost surely, 214035133140 is an apocalyptic number.

14035133140 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 14035133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17591277312).

14035133140 is an abundant number, since it is smaller than the sum of its proper divisors (21147421484).

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

14035133140 is a wasteful number, since it uses less digits than its factorization.

14035133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 14035133140 its reverse (4133153041), we get a palindrome (18168286181).

The spelling of 14035133140 in words is "fourteen billion, thirty-five million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 2017 2161 3220 4034 4322 8068 8644 10085 10805 14119 15127 20170 21610 28238 30254 40340 43220 46391 49703 56476 60508 70595 75635 92782 99406 141190 151270 185564 198812 231955 248515 282380 302540 324737 347921 463910 497030 649474 695842 927820 994060 1298948 1391684 1623685 1739605 3247370 3479210 4358737 6494740 6958420 8717474 17434948 21793685 30511159 43587370 61022318 87174740 100250951 122044636 152555795 200501902 305111590 401003804 501254755 610223180 701756657 1002509510 1403513314 2005019020 2807026628 3508783285 7017566570 14035133140