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12144300242333 = 743607331320063
BaseRepresentation
bin1011000010111001000010…
…1100111011010110011101
31120222222120011102221001012
42300232100230323112131
53042433011330223313
641455003045025005
72362253036564330
oct260562054732635
946888504387035
1012144300242333
113962406981726
1214417916b5165
136a128315746c
142ddb04398617
15160d7b422da8
hexb0b90b3b59d

12144300242333 has 32 divisors (see below), whose sum is σ = 14230372417536. Its totient is φ = 10147001372928.

The previous prime is 12144300242323. The next prime is 12144300242363. The reversal of 12144300242333 is 33324200344121.

It is not a de Polignac number, because 12144300242333 - 222 = 12144296048029 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12144300242333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144300242323) 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, 605298260 + ... + 605318322.

It is an arithmetic number, because the mean of its divisors is an integer number (444699138048).

Almost surely, 212144300242333 is an apocalyptic number.

It is an amenable number.

12144300242333 is a deficient number, since it is larger than the sum of its proper divisors (2086072175203).

12144300242333 is a wasteful number, since it uses less digits than its factorization.

12144300242333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24033.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 12144300242333 its reverse (33324200344121), we get a palindrome (45468500586454).

The spelling of 12144300242333 in words is "twelve trillion, one hundred forty-four billion, three hundred million, two hundred forty-two thousand, three hundred thirty-three".

Divisors: 1 7 43 301 607 3313 4249 20063 23191 26101 140441 142459 182707 862709 997213 2010991 6038963 12178241 14076937 66468719 85247687 86472613 465281033 523664363 605308291 2858154917 3665650541 20007084419 40346512433 282425587031 1734900034619 12144300242333