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13144034432 = 27172355321
BaseRepresentation
bin11000011110111001…
…00000110010000000
31020221000211010120002
430033130200302000
5203404333100212
610012134135132
7643502310044
oct141734406200
936830733502
1013144034432
115635512681
122669ab14a8
131316192489
148c9940024
1551de03ac2
hex30f720c80

13144034432 has 48 divisors (see below), whose sum is σ = 27816382770. Its totient is φ = 6185410560.

The previous prime is 13144034419. The next prime is 13144034437. The reversal of 13144034432 is 23443044131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12431358016 + 712676416 = 111496^2 + 26696^2 .

It is a super-2 number, since 2×131440344322 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13144034395 and 13144034404.

It is not an unprimeable number, because it can be changed into a prime (13144034437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140669 + ... + 214652.

Almost surely, 213144034432 is an apocalyptic number.

It is an amenable number.

13144034432 is an abundant number, since it is smaller than the sum of its proper divisors (14672348338).

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

13144034432 is an equidigital number, since it uses as much as digits as its factorization.

13144034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355369 (or 355340 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 13144034432 its reverse (23443044131), we get a palindrome (36587078563).

The spelling of 13144034432 in words is "thirteen billion, one hundred forty-four million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 1088 1156 2176 2312 4624 9248 18496 36992 355321 710642 1421284 2842568 5685136 6040457 11370272 12080914 22740544 24161828 45481088 48323656 96647312 102687769 193294624 205375538 386589248 410751076 773178496 821502152 1643004304 3286008608 6572017216 13144034432