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12334032141431 = 7111331339366487
BaseRepresentation
bin1011001101111011110110…
…0110101011110001110111
31121200010021220111001010012
42303132331212223301313
53104040044212011211
642122102014050435
72412050546245160
oct263367546536167
947603256431105
1012334032141431
113a25919661720
1214725024a9a1b
136b612c079890
14308d82888767
15165c831cbd8b
hexb37bd9abc77

12334032141431 has 32 divisors (see below), whose sum is σ = 16613287799808. Its totient is φ = 8843287415040.

The previous prime is 12334032141421. The next prime is 12334032141449. The reversal of 12334032141431 is 13414123043321.

It is not a de Polignac number, because 12334032141431 - 222 = 12334027947127 is a prime.

It is a super-2 number, since 2×123340321414312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334032141401) 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, 19369931 + ... + 19996556.

It is an arithmetic number, because the mean of its divisors is an integer number (519165243744).

Almost surely, 212334032141431 is an apocalyptic number.

12334032141431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12334032141431 is a deficient number, since it is larger than the sum of its proper divisors (4279255658377).

12334032141431 is a wasteful number, since it uses less digits than its factorization.

12334032141431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39366831.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 12334032141431 its reverse (13414123043321), we get a palindrome (25748155184752).

The spelling of 12334032141431 in words is "twelve trillion, three hundred thirty-four billion, thirty-two million, one hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 313 1001 2191 3443 4069 24101 28483 44759 313313 39366487 275565409 433031357 511764331 3031219499 3582350317 5629407641 12321710431 39405853487 86251973017 135538814741 160182235603 948771703187 1121275649221 1762004591633 12334032141431