Search a number
-
+
7427120141 = 723791394201
BaseRepresentation
bin1101110101011000…
…01101110000001101
3201011121102210110202
412322230031300031
5110202320321031
63224552543245
7352023323330
oct67254156015
921147383422
107427120141
113171463321
1215333b1b25
1391495175c
14506580617
152d70882cb
hex1bab0dc0d

7427120141 has 32 divisors (see below), whose sum is σ = 9035980800. Its totient is φ = 5967561600.

The previous prime is 7427120119. The next prime is 7427120171. The reversal of 7427120141 is 1410217247.

It is not a de Polignac number, because 7427120141 - 214 = 7427103757 is a prime.

It is a super-2 number, since 2×74271201412 (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 (7427120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1765841 + ... + 1770041.

It is an arithmetic number, because the mean of its divisors is an integer number (282374400).

Almost surely, 27427120141 is an apocalyptic number.

It is an amenable number.

7427120141 is a deficient number, since it is larger than the sum of its proper divisors (1608860659).

7427120141 is a wasteful number, since it uses less digits than its factorization.

7427120141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449.

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 7427120141 is about 86180.7411258455. The cubic root of 7427120141 is about 1951.0728386164.

Adding to 7427120141 its reverse (1410217247), we get a palindrome (8837337388).

The spelling of 7427120141 in words is "seven billion, four hundred twenty-seven million, one hundred twenty thousand, one hundred forty-one".

Divisors: 1 7 23 79 139 161 553 973 1817 3197 4201 10981 12719 22379 29407 76867 96623 252563 331879 583939 676361 1767941 2323153 4087573 7633217 13430597 46131181 53432519 94014179 322918267 1061017163 7427120141