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114379581235921 = 2324649932
BaseRepresentation
bin11010000000011100010010…
…010011110010001011010001
3112222222120200200022011110121
4122000130102103302023101
5104442443340244022141
61043133130525030241
733043436436014401
oct3200342223621321
9488876620264417
10114379581235921
1133499120813521
12109b36423b5381
134ba8c4334c2b1
1420360036b0801
15d3541e6cc1d1
hex6807124f22d1

114379581235921 has 9 divisors (see below), whose sum is σ = 119569082138779. Its totient is φ = 109406320678336.

The previous prime is 114379581235903. The next prime is 114379581235951. The reversal of 114379581235921 is 129532185973411.

The square root of 114379581235921 is 10694839.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 96657704046225 + 17721877189696 = 9831465^2 + 4209736^2 .

It is not a de Polignac number, because 114379581235921 - 229 = 114379044365009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114379581235921.

It is not an unprimeable number, because it can be changed into a prime (114379581235951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 245748801 + ... + 246213793.

Almost surely, 2114379581235921 is an apocalyptic number.

114379581235921 is the 10694839-th square number.

114379581235921 is the 5347420-th centered octagonal number.

It is an amenable number.

114379581235921 is a deficient number, since it is larger than the sum of its proper divisors (5189500902858).

114379581235921 is an frugal number, since it uses more digits than its factorization.

114379581235921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930032 (or 465016 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 61.

The spelling of 114379581235921 in words is "one hundred fourteen trillion, three hundred seventy-nine billion, five hundred eighty-one million, two hundred thirty-five thousand, nine hundred twenty-one".

Divisors: 1 23 529 464993 10694839 245981297 216218490049 4973025271127 114379581235921