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13444012032003 = 3272334926584903
BaseRepresentation
bin1100001110100010110110…
…0011111100000000000011
31202121020100022110210000200
43003220231203330000003
53230231314040011003
644332032135220243
72555204102531460
oct303505543740003
952536308423020
1013444012032003
114313634342163
121611658517683
137669c3621137
1434699d55c667
15184a99db76a3
hexc3a2d8fc003

13444012032003 has 48 divisors (see below), whose sum is σ = 23224572134400. Its totient is φ = 7327224349632.

The previous prime is 13444012031971. The next prime is 13444012032019. The reversal of 13444012032003 is 30023021044431.

13444012032003 is a `hidden beast` number, since 1 + 3 + 4 + 440 + 12 + 0 + 3 + 200 + 3 = 666.

It is not a de Polignac number, because 13444012032003 - 25 = 13444012031971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13444012012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12786751 + ... + 13798152.

It is an arithmetic number, because the mean of its divisors is an integer number (483845252800).

Almost surely, 213444012032003 is an apocalyptic number.

13444012032003 is a deficient number, since it is larger than the sum of its proper divisors (9780560102397).

13444012032003 is a wasteful number, since it uses less digits than its factorization.

13444012032003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26585288 (or 26585285 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13444012032003 its reverse (30023021044431), we get a palindrome (43467033076434).

The spelling of 13444012032003 in words is "thirteen trillion, four hundred forty-four billion, twelve million, thirty-two thousand, three".

Divisors: 1 3 7 9 21 23 63 69 161 207 349 483 1047 1449 2443 3141 7329 8027 21987 24081 56189 72243 168567 505701 26584903 79754709 186094321 239264127 558282963 611452769 1674848889 1834358307 4280169383 5503074921 9278131147 12840508149 27834393441 38521524447 64946918029 83503180323 194840754087 213397016381 584522262261 640191049143 1493779114667 1920573147429 4481337344001 13444012032003