Search a number
-
+
2251153040441 = 6193636757739
BaseRepresentation
bin100000110000100011001…
…011010110010000111001
321222012121201121020012212
4200300203023112100321
5243340330134243231
64442055422144505
7321432446060534
oct40604313262071
97865551536185
102251153040441
11798788227418
12304356722135
1313438a4851c6
147ad56489a1b
153d85715842b
hex20c232d6439

2251153040441 has 4 divisors (see below), whose sum is σ = 2254789798800. Its totient is φ = 2247516282084.

The previous prime is 2251153040369. The next prime is 2251153040489. The reversal of 2251153040441 is 1440403511522.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2251153040441 is a prime.

It is a super-2 number, since 2×22511530404412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2251153040398 and 2251153040407.

It is not an unprimeable number, because it can be changed into a prime (2251153040491) 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 3 ways as a sum of consecutive naturals, for example, 1818378251 + ... + 1818379488.

It is an arithmetic number, because the mean of its divisors is an integer number (563697449700).

Almost surely, 22251153040441 is an apocalyptic number.

It is an amenable number.

2251153040441 is a deficient number, since it is larger than the sum of its proper divisors (3636758359).

2251153040441 is an equidigital number, since it uses as much as digits as its factorization.

2251153040441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636758358.

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 2251153040441 its reverse (1440403511522), we get a palindrome (3691556551963).

The spelling of 2251153040441 in words is "two trillion, two hundred fifty-one billion, one hundred fifty-three million, forty thousand, four hundred forty-one".

Divisors: 1 619 3636757739 2251153040441