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13141412124 = 2238934935257
BaseRepresentation
bin11000011110100101…
…00000100100011100
31020220211212220102120
430033102200210130
5203403200141444
610012002022540
7643441105611
oct141722404434
936824786376
1013141412124
115633a91485
122669047a50
131315784a09
148c945a508
1551da86b19
hex30f4a091c

13141412124 has 48 divisors (see below), whose sum is σ = 31097556000. Its totient is φ = 4318718976.

The previous prime is 13141412099. The next prime is 13141412129. The reversal of 13141412124 is 42121414131.

It is a happy number.

It is a super-2 number, since 2×131414121242 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13141412094 and 13141412103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13141412129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355104 + ... + 390360.

It is an arithmetic number, because the mean of its divisors is an integer number (647865750).

Almost surely, 213141412124 is an apocalyptic number.

It is an amenable number.

13141412124 is an abundant number, since it is smaller than the sum of its proper divisors (17956143876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13141412124 is a wasteful number, since it uses less digits than its factorization.

13141412124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35702 (or 35700 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 13141412124 its reverse (42121414131), we get a palindrome (55262826255).

The spelling of 13141412124 in words is "thirteen billion, one hundred forty-one million, four hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 89 178 267 349 356 534 698 1047 1068 1396 2094 4188 31061 35257 62122 70514 93183 105771 124244 141028 186366 211542 372732 423084 3137873 6275746 9413619 12304693 12551492 18827238 24609386 36914079 37654476 49218772 73828158 147656316 1095117677 2190235354 3285353031 4380470708 6570706062 13141412124