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114322341141 = 33592775092
BaseRepresentation
bin110101001111000100…
…1000111110100010101
3101221002022122122202000
41222132021013310111
53333113004404031
6124304032305513
711155004603061
oct1523611076425
9357068578660
10114322341141
1144535a87a78
121a1a63a2299
13aa1bb3c308
145767284aa1
152e917e13e6
hex1a9e247d15

114322341141 has 48 divisors (see below), whose sum is σ = 173199115200. Its totient is φ = 74505970368.

The previous prime is 114322341131. The next prime is 114322341151. The reversal of 114322341141 is 141143223411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114322341131) and next prime (114322341151).

It is not a de Polignac number, because 114322341141 - 217 = 114322210069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114322341101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224601595 + ... + 224602103.

It is an arithmetic number, because the mean of its divisors is an integer number (3608314900).

Almost surely, 2114322341141 is an apocalyptic number.

It is an amenable number.

114322341141 is a deficient number, since it is larger than the sum of its proper divisors (58876774059).

114322341141 is an frugal number, since it uses more digits than its factorization.

114322341141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 848 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 114322341141 its reverse (141143223411), we get a palindrome (255465564552).

The spelling of 114322341141 in words is "one hundred fourteen billion, three hundred twenty-two million, three hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 9 27 59 177 277 509 531 831 1527 1593 2493 4581 7479 13743 16343 30031 49029 90093 140993 147087 259081 270279 422979 441261 777243 810837 1268937 2331729 3806811 6995187 8318587 15285779 24955761 45857337 71765437 74867283 137572011 215296311 224601849 412716033 645888933 1937666799 4234160783 12702482349 38107447047 114322341141