Search a number
-
+
145792297541 = 113225148661
BaseRepresentation
bin1000011111000111100…
…1011110101001000101
3111221022111221002012202
42013301321132221011
54342040312010131
6150550454524245
713350604040102
oct2076171365105
9457274832182
10145792297541
1156914a51000
1224309666685
13109959078a7
1470b0a11aa9
153bd44ccbcb
hex21f1e5ea45

145792297541 has 16 divisors (see below), whose sum is σ = 160435110336. Its totient is φ = 132476850000.

The previous prime is 145792297501. The next prime is 145792297583.

145792297541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145792297541 - 214 = 145792281157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145792297501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2971751 + ... + 3020411.

It is an arithmetic number, because the mean of its divisors is an integer number (10027194396).

Almost surely, 2145792297541 is an apocalyptic number.

145792297541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145792297541 is a deficient number, since it is larger than the sum of its proper divisors (14642812795).

145792297541 is an equidigital number, since it uses as much as digits as its factorization.

145792297541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50945 (or 50923 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 56.

The spelling of 145792297541 in words is "one hundred forty-five billion, seven hundred ninety-two million, two hundred ninety-seven thousand, five hundred forty-one".

Divisors: 1 11 121 1331 2251 24761 48661 272371 535271 2996081 5887981 64767791 109535911 1204895021 13253845231 145792297541