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114232141340431 = 37417110191040807
BaseRepresentation
bin11001111110010010111110…
…001101001101111100001111
3112222110111010100010102202121
4121332102332031031330033
5104433034411140343211
61042541304332233411
733026666644412602
oct3176227615157417
9488414110112677
10114232141340431
1133441640840824
121098ab5500b867
134b980772b499a
14202cc17d38339
15d3169074c271
hex67e4be34df0f

114232141340431 has 32 divisors (see below), whose sum is σ = 121993355473920. Its totient is φ = 106801683206400.

The previous prime is 114232141340411. The next prime is 114232141340437. The reversal of 114232141340431 is 134043141232411.

It is a cyclic number.

It is not a de Polignac number, because 114232141340431 - 211 = 114232141338383 is a prime.

It is a super-2 number, since 2×1142321413404312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114232141340437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109233030 + ... + 110273836.

It is an arithmetic number, because the mean of its divisors is an integer number (3812292358560).

Almost surely, 2114232141340431 is an apocalyptic number.

114232141340431 is a deficient number, since it is larger than the sum of its proper divisors (7761214133489).

114232141340431 is a wasteful number, since it uses less digits than its factorization.

114232141340431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041975.

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 114232141340431 its reverse (134043141232411), we get a palindrome (248275282572842).

The spelling of 114232141340431 in words is "one hundred fourteen trillion, two hundred thirty-two billion, one hundred forty-one million, three hundred forty thousand, four hundred thirty-one".

Divisors: 1 37 41 71 1019 1517 2627 2911 37703 41779 72349 107707 1040807 1545823 2676913 2966309 38509859 42673087 73897297 109753433 1060582333 1578904219 2734199989 3029789177 39241546321 43483875653 75301345643 112102199549 1608903399161 2786149788791 3087355171363 114232141340431