Search a number
-
+
32141240643285 = 325714249792073
BaseRepresentation
bin1110100111011011101110…
…01110110010111011010101
311012210200011022201200211200
413103231313032302323111
513203100230101041120
6152205252045223113
76525061622506344
oct723556716627325
9135720138650750
1032141240643285
11a272029471704
123731230561a99
1314c1ba15ba357
147d1904137b5b
153ab102890e90
hex1d3b773b2ed5

32141240643285 has 12 divisors (see below), whose sum is σ = 55711483781772. Its totient is φ = 17141995009728.

The previous prime is 32141240643283. The next prime is 32141240643301. The reversal of 32141240643285 is 58234604214123.

32141240643285 is a `hidden beast` number, since 3 + 2 + 14 + 124 + 0 + 6 + 432 + 85 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23401377225009 + 8739863418276 = 4837497^2 + 2956326^2 .

It is not a de Polignac number, because 32141240643285 - 21 = 32141240643283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 714249792073 = 32141240643285 / (3 + 2 + 1 + 4 + 1 + 2 + 4 + 0 + 6 + 4 + 3 + 2 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 32141240643285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32141240643283) 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 11 ways as a sum of consecutive naturals, for example, 357124895992 + ... + 357124896081.

It is an arithmetic number, because the mean of its divisors is an integer number (4642623648481).

Almost surely, 232141240643285 is an apocalyptic number.

It is an amenable number.

32141240643285 is a deficient number, since it is larger than the sum of its proper divisors (23570243138487).

32141240643285 is a wasteful number, since it uses less digits than its factorization.

32141240643285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714249792084 (or 714249792081 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 32141240643285 in words is "thirty-two trillion, one hundred forty-one billion, two hundred forty million, six hundred forty-three thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 45 714249792073 2142749376219 3571248960365 6428248128657 10713746881095 32141240643285