Search a number
-
+
140352125131125 = 32537912791234721
BaseRepresentation
bin11111111010011001000110…
…100011111101100101110101
3200101221112100220210120211100
4133322121012203331211311
5121344012123013144000
61214300513130400313
741364051333360645
oct3772310643754565
9611845326716740
10140352125131125
11407a2002734006
12138a9222890099
1360411c165895b
1426931170ac525
151135d32dbda00
hex7fa6468fd975

140352125131125 has 96 divisors (see below), whose sum is σ = 256411260518400. Its totient is φ = 73849097088000.

The previous prime is 140352125131117. The next prime is 140352125131129. The reversal of 140352125131125 is 521131521253041.

140352125131125 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 5 + 2 + 12 + 513 + 1 + 125 = 666.

It is not a de Polignac number, because 140352125131125 - 23 = 140352125131117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 140352125131125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140352125131129) 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 95 ways as a sum of consecutive naturals, for example, 113053765 + ... + 114288485.

It is an arithmetic number, because the mean of its divisors is an integer number (2670950630400).

Almost surely, 2140352125131125 is an apocalyptic number.

140352125131125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140352125131125 is a deficient number, since it is larger than the sum of its proper divisors (116059135387275).

140352125131125 is a wasteful number, since it uses less digits than its factorization.

140352125131125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236100 (or 1236087 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 140352125131125 its reverse (521131521253041), we get a palindrome (661483646384166).

The spelling of 140352125131125 in words is "one hundred forty trillion, three hundred fifty-two billion, one hundred twenty-five million, one hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 79 125 225 237 375 395 711 1125 1185 1279 1975 3555 3837 5925 6395 9875 11511 17775 19185 29625 31975 57555 88875 95925 101041 159875 287775 303123 479625 505205 909369 1234721 1438875 1515615 2526025 3704163 4546845 6173605 7578075 11112489 12630125 18520815 22734225 30868025 37890375 55562445 92604075 97542959 113671125 154340125 277812225 292628877 463020375 487714795 877886631 1389061125 1463144385 1579208159 2438573975 4389433155 4737624477 7315721925 7896040795 12192869875 14212873431 21947165775 23688122385 36578609625 39480203975 71064367155 109735828875 118440611925 124757444561 197401019875 355321835775 374272333683 592203059625 623787222805 1122817001049 1776609178875 1871361668415 3118936114025 5614085005245 9356808342075 15594680570125 28070425026225 46784041710375 140352125131125