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10144454436 = 22321373205237
BaseRepresentation
bin10010111001010100…
…00001011100100100
3222011222120200100200
421130222001130210
5131233440020221
64354342510500
7506250303624
oct113452013444
928158520320
1010144454436
114336309846
121b71435430
13c588c717c
146c3406884
153e58e4426
hex25ca81724

10144454436 has 36 divisors (see below), whose sum is σ = 25661728092. Its totient is φ = 3379005504.

The previous prime is 10144454399. The next prime is 10144454473. The reversal of 10144454436 is 63445444101.

10144454436 is a `hidden beast` number, since 101 + 4 + 4 + 4 + 544 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10144454399) and next prime (10144454473).

It can be written as a sum of positive squares in 2 ways, for example, as 7694798400 + 2449656036 = 87720^2 + 49494^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10144454436.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53191 + ... + 152046.

Almost surely, 210144454436 is an apocalyptic number.

It is an amenable number.

10144454436 is an abundant number, since it is smaller than the sum of its proper divisors (15517273656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10144454436 is a wasteful number, since it uses less digits than its factorization.

10144454436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206620 (or 206615 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 10144454436 its reverse (63445444101), we get a palindrome (73589898537).

The spelling of 10144454436 in words is "ten billion, one hundred forty-four million, four hundred fifty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1373 2746 4119 5492 8238 12357 16476 24714 49428 205237 410474 615711 820948 1231422 1847133 2462844 3694266 7388532 281790401 563580802 845371203 1127161604 1690742406 2536113609 3381484812 5072227218 10144454436