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13144420133010 = 2325146049112589
BaseRepresentation
bin1011111101000110110001…
…1111100010100010010010
31201112121001020110102121200
42333101230133202202102
53210324233023224020
643542244021132030
72524436661441015
oct277215437424222
951477036412550
1013144420133010
114208576544221
12158358785a016
1374468a20c21a
1433629c6cd37c
1517bdb346c590
hexbf46c7e2892

13144420133010 has 24 divisors (see below), whose sum is σ = 34175492346060. Its totient is φ = 3505178702112.

The previous prime is 13144420133003. The next prime is 13144420133011. The reversal of 13144420133010 is 1033102444131.

13144420133010 is a `hidden beast` number, since 1 + 3 + 1 + 444 + 201 + 3 + 3 + 0 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11477276922969 + 1667143210041 = 3387813^2 + 1291179^2 .

It is not an unprimeable number, because it can be changed into a prime (13144420133011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73024556205 + ... + 73024556384.

Almost surely, 213144420133010 is an apocalyptic number.

13144420133010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13144420133010 is an abundant number, since it is smaller than the sum of its proper divisors (21031072213050).

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

13144420133010 is a wasteful number, since it uses less digits than its factorization.

13144420133010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146049112602 (or 146049112599 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13144420133010 its reverse (1033102444131), we get a palindrome (14177522577141).

The spelling of 13144420133010 in words is "thirteen trillion, one hundred forty-four billion, four hundred twenty million, one hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 146049112589 292098225178 438147337767 730245562945 876294675534 1314442013301 1460491125890 2190736688835 2628884026602 4381473377670 6572210066505 13144420133010