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14534103312 = 2432929310861
BaseRepresentation
bin11011000100100110…
…01101000100010000
31101111220110221120200
431202103031010100
5214231212301222
610402112135200
71023111561021
oct154223150420
941456427520
1014534103312
116189138a33
122997537500
1314a8174841
149bc3c8c48
155a0e85eac
hex3624cd110

14534103312 has 60 divisors (see below), whose sum is σ = 40683425484. Its totient is φ = 4843733760.

The previous prime is 14534103293. The next prime is 14534103317. The reversal of 14534103312 is 21330143541.

It is a happy number.

14534103312 is a `hidden beast` number, since 1 + 4 + 5 + 341 + 0 + 3 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3084247296 + 11449856016 = 55536^2 + 107004^2 .

It is a super-2 number, since 2×145341033122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14534103317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1332762 + ... + 1343622.

Almost surely, 214534103312 is an apocalyptic number.

14534103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14534103312 is an abundant number, since it is smaller than the sum of its proper divisors (26149322172).

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

14534103312 is a wasteful number, since it uses less digits than its factorization.

14534103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20168 (or 20159 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 14534103312 its reverse (21330143541), we get a palindrome (35864246853).

The spelling of 14534103312 in words is "fourteen billion, five hundred thirty-four million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9293 10861 18586 21722 27879 32583 37172 43444 55758 65166 74344 83637 86888 97749 111516 130332 148688 167274 173776 195498 223032 260664 334548 390996 446064 521328 669096 781992 1338192 1563984 100931273 201862546 302793819 403725092 605587638 807450184 908381457 1211175276 1614900368 1816762914 2422350552 3633525828 4844701104 7267051656 14534103312