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3442140132431 = 7112131566119961
BaseRepresentation
bin110010000101101111100…
…010100011010001001111
3110012001202122221011201112
4302011233202203101033
5422344000333214211
611153144121002235
7503454304242050
oct62055742432117
913161678834645
103442140132431
111107892406300
1247713992337b
131bc791720540
14bc85999c727
155e81096788b
hex3216f8a344f

3442140132431 has 48 divisors (see below), whose sum is σ = 4657157596224. Its totient is φ = 2475582912000.

The previous prime is 3442140132407. The next prime is 3442140132449. The reversal of 3442140132431 is 1342310412443.

3442140132431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3442140132431 - 210 = 3442140131407 is a prime.

It is a super-2 number, since 2×34421401324312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442140132481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172433291 + ... + 172453251.

It is an arithmetic number, because the mean of its divisors is an integer number (97024116588).

Almost surely, 23442140132431 is an apocalyptic number.

3442140132431 is a deficient number, since it is larger than the sum of its proper divisors (1215017463793).

3442140132431 is a wasteful number, since it uses less digits than its factorization.

3442140132431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35664 (or 35653 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 3442140132431 its reverse (1342310412443), we get a palindrome (4784450544874).

The spelling of 3442140132431 in words is "three trillion, four hundred forty-two billion, one hundred forty million, one hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 15661 19961 109627 139727 172271 203593 219571 259493 1205897 1425151 1536997 1816451 1894981 2239523 2415281 2854423 13264867 15676661 16906967 19980961 24634753 31398653 172443271 219790571 312609221 2188264547 3438701431 4063919873 24070910017 28447439111 37825715741 44703118603 264780010187 312921830221 491734304633 3442140132431