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14032136512 = 264147113779
BaseRepresentation
bin11010001000110000…
…10110100101000000
31100012220221101120201
431010120112211000
5212214211332022
610240221214544
71004505122662
oct150430264500
940186841521
1014032136512
115a50858939
122877401454
131428181474
14971880532
15571d80127
hex344616940

14032136512 has 56 divisors (see below), whose sum is σ = 29131320960. Its totient is φ = 6699248640.

The previous prime is 14032136507. The next prime is 14032136513. The reversal of 14032136512 is 21563123041.

It is a super-2 number, since 2×140321365122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14032136513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66439 + ... + 180217.

It is an arithmetic number, because the mean of its divisors is an integer number (520202160).

Almost surely, 214032136512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14032136512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565660480).

14032136512 is an abundant number, since it is smaller than the sum of its proper divisors (15099184448).

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

14032136512 is a wasteful number, since it uses less digits than its factorization.

14032136512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113879 (or 113869 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 14032136512 its reverse (21563123041), we get a palindrome (35595259553).

It can be divided in two parts, 14032 and 136512, that added together give a square (150544 = 3882).

The spelling of 14032136512 in words is "fourteen billion, thirty-two million, one hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 41 47 64 82 94 164 188 328 376 656 752 1312 1504 1927 2624 3008 3854 7708 15416 30832 61664 113779 123328 227558 455116 910232 1820464 3640928 4664939 5347613 7281856 9329878 10695226 18659756 21390452 37319512 42780904 74639024 85561808 149278048 171123616 219252133 298556096 342247232 438504266 877008532 1754017064 3508034128 7016068256 14032136512