Search a number
-
+
240125743471327 = 710112719313856651
BaseRepresentation
bin110110100110010010100001…
…101001000001101011011111
31011111012210111221002020212121
4312212102201221001223133
5222433210010312040302
62210412124344443411
7101402340526266160
oct6646224151015337
91144183457066777
10240125743471327
116a56983514055a
1222b21b89779567
13a3ca9b691c53c
144342210159767
151cb634d0c5e37
hexda64a1a41adf

240125743471327 has 32 divisors (see below), whose sum is σ = 280776120090624. Its totient is φ = 201132046080000.

The previous prime is 240125743471321. The next prime is 240125743471399. The reversal of 240125743471327 is 723174347521042.

240125743471327 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 240125743471327 - 231 = 240123595987679 is a prime.

It is a super-2 number, since 2×2401257434713272 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240125743471321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10400952 + ... + 24257602.

It is an arithmetic number, because the mean of its divisors is an integer number (8774253752832).

Almost surely, 2240125743471327 is an apocalyptic number.

240125743471327 is a deficient number, since it is larger than the sum of its proper divisors (40650376619297).

240125743471327 is a wasteful number, since it uses less digits than its factorization.

240125743471327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13857079.

The product of its (nonzero) digits is 7902720, while the sum is 52.

The spelling of 240125743471327 in words is "two hundred forty trillion, one hundred twenty-five billion, seven hundred forty-three million, four hundred seventy-one thousand, three hundred twenty-seven".

Divisors: 1 7 101 127 193 707 889 1351 12827 19493 24511 89789 136451 171577 2475611 13856651 17329277 96996557 1399521751 1759794677 2674333643 9796652257 12318562739 18720335501 177739262377 270107697943 339640372661 1244174836639 1890753885601 2377482608627 34303677638761 240125743471327