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725712141441 = 37331362328817
BaseRepresentation
bin10101000111101111101…
…00000111110010000001
32120101012010102111221210
422203313310013302001
543342224302011231
61313215413440333
7103300552265010
oct12436764076201
92511163374853
10725712141441
1125a855648071
12b87936400a9
13535853a4011
14271a60a6a77
1513d26549a46
hexa8f7d07c81

725712141441 has 32 divisors (see below), whose sum is σ = 1109532653568. Its totient is φ = 413311345920.

The previous prime is 725712141439. The next prime is 725712141461. The reversal of 725712141441 is 144141217527.

725712141441 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 725712141441 - 21 = 725712141439 is a prime.

It is a super-2 number, since 2×7257121414412 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 725712141441.

It is not an unprimeable number, because it can be changed into a prime (725712141421) 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, 25169065 + ... + 25197881.

It is an arithmetic number, because the mean of its divisors is an integer number (34672895424).

Almost surely, 2725712141441 is an apocalyptic number.

It is an amenable number.

725712141441 is a deficient number, since it is larger than the sum of its proper divisors (383820512127).

725712141441 is a wasteful number, since it uses less digits than its factorization.

725712141441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32781.

The product of its digits is 62720, while the sum is 39.

Adding to 725712141441 its reverse (144141217527), we get a palindrome (869853358968).

The spelling of 725712141441 in words is "seven hundred twenty-five billion, seven hundred twelve million, one hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 7 21 331 993 2317 3623 6951 10869 25361 28817 76083 86451 201719 605157 1199213 3597639 8394491 9538427 25183473 28615281 66768989 104403991 200306967 313211973 730827937 2192483811 34557721021 103673163063 241904047147 725712141441