Search a number
-
+
9141221419 = 1117163499601
BaseRepresentation
bin10001000001101101…
…11111100000101011
3212121001211011101021
420200312333200223
5122210123041134
64111024033311
7442346046211
oct104066774053
925531734337
109141221419
113970a87a50
121931462837
13b28ac7575
1462a096cb1
153877c50b4
hex220dbf82b

9141221419 has 32 divisors (see below), whose sum is σ = 10662624000. Its totient is φ = 7744896000.

The previous prime is 9141221389. The next prime is 9141221449.

9141221419 is nontrivially palindromic in base 10.

9141221419 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9141221389) and next prime (9141221449).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9141221419 is a prime.

It is a super-2 number, since 2×91412214192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9141221449) 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, 15209719 + ... + 15210319.

It is an arithmetic number, because the mean of its divisors is an integer number (333207000).

Almost surely, 29141221419 is an apocalyptic number.

9141221419 is a deficient number, since it is larger than the sum of its proper divisors (1521402581).

9141221419 is a wasteful number, since it uses less digits than its factorization.

9141221419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291.

The product of its digits is 5184, while the sum is 34.

The square root of 9141221419 is about 95609.7349593649. The cubic root of 9141221419 is about 2090.9071265771.

The spelling of 9141221419 in words is "nine billion, one hundred forty-one million, two hundred twenty-one thousand, four hundred nineteen".

Divisors: 1 11 17 163 187 499 601 1793 2771 5489 6611 8483 10217 30481 81337 93313 97963 112387 299899 894707 1077593 1382729 1665371 3298889 5098283 15210019 18319081 48883537 56081113 537718907 831020129 9141221419