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12140410332 = 2234383467607
BaseRepresentation
bin10110100111001111…
…11111010111011100
31011100002022202010010
423103213333113130
5144330421112312
65324403043220
7606564533211
oct132347772734
934302282103
1012140410332
11516aa43a76
122429970510
1311b628686b
1483252bb08
154b0c5893c
hex2d39ff5dc

12140410332 has 96 divisors (see below), whose sum is σ = 29446889472. Its totient is φ = 3890287296.

The previous prime is 12140410319. The next prime is 12140410333. The reversal of 12140410332 is 23301404121.

It is a junction number, because it is equal to n+sod(n) for n = 12140410299 and 12140410308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140410333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20000373 + ... + 20000979.

It is an arithmetic number, because the mean of its divisors is an integer number (306738432).

Almost surely, 212140410332 is an apocalyptic number.

12140410332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12140410332 is an abundant number, since it is smaller than the sum of its proper divisors (17306479140).

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

12140410332 is a wasteful number, since it uses less digits than its factorization.

12140410332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12140410332 its reverse (23301404121), we get a palindrome (35441814453).

The spelling of 12140410332 in words is "twelve billion, one hundred forty million, four hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 43 83 86 129 166 172 249 258 332 467 498 516 607 934 996 1214 1401 1821 1868 2428 2802 3569 3642 5604 7138 7284 10707 14276 20081 21414 26101 38761 40162 42828 50381 52202 60243 77522 78303 80324 100762 104404 116283 120486 151143 155044 156606 201524 232566 240972 283469 302286 313212 465132 566938 604572 850407 1133876 1666723 1700814 2166383 3333446 3401628 4332766 5000169 6499149 6666892 8665532 10000338 12189167 12998298 20000676 23527927 24378334 25996596 36567501 47055854 48756668 70583781 73135002 94111708 141167562 146270004 282335124 1011700861 2023401722 3035102583 4046803444 6070205166 12140410332