Search a number
-
+
1054153240431 = 317291315440819
BaseRepresentation
bin11110101011100000110…
…11011110111101101111
310201202221202022001220120
433111300123132331233
5114232401212143211
62124134334220023
7136105620462324
oct17256033367557
93652852261816
101054153240431
11377078027a55
12150375954613
1378538621a85
14390425bab4b
151c64aa50d06
hexf5706def6f

1054153240431 has 32 divisors (see below), whose sum is σ = 1551286598400. Its totient is φ = 633746480640.

The previous prime is 1054153240417. The next prime is 1054153240447. The reversal of 1054153240431 is 1340423514501.

It is not a de Polignac number, because 1054153240431 - 222 = 1054149046127 is a prime.

It is a super-2 number, since 2×10541532404312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054153240392 and 1054153240401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054153240411) 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, 2526661 + ... + 2914158.

It is an arithmetic number, because the mean of its divisors is an integer number (48477706200).

Almost surely, 21054153240431 is an apocalyptic number.

1054153240431 is a deficient number, since it is larger than the sum of its proper divisors (497133357969).

1054153240431 is a wasteful number, since it uses less digits than its factorization.

1054153240431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440999.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 1054153240431 its reverse (1340423514501), we get a palindrome (2394576754932).

The spelling of 1054153240431 in words is "one trillion, fifty-four billion, one hundred fifty-three million, two hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 17 29 51 87 131 393 493 1479 2227 3799 6681 11397 64583 193749 5440819 16322457 92493923 157783751 277481769 473351253 712747289 2138241867 2682323767 8046971301 12116703913 20669671381 36350111739 62009014143 351384413477 1054153240431