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13432444331103 = 34733171572139
BaseRepresentation
bin1100001101110111110000…
…0100101010010001011111
31202120010111010210200120000
43003131330010222101133
53230034121222043403
644322440231225343
72554314330642120
oct303357404522137
952503433720500
1013432444331103
114309738707276
12160b36a518253
1376589bbc94c5
143461c3112047
1518461e58a7a3
hexc377c12a45f

13432444331103 has 40 divisors (see below), whose sum is σ = 23001568064640. Its totient is φ = 7652492994960.

The previous prime is 13432444331099. The next prime is 13432444331113. The reversal of 13432444331103 is 30113344423431.

13432444331103 is a `hidden beast` number, since 1 + 343 + 244 + 43 + 31 + 1 + 0 + 3 = 666.

It is not a de Polignac number, because 13432444331103 - 22 = 13432444331099 is a prime.

It is a super-2 number, since 2×134324443311032 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13432444331113) 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 39 ways as a sum of consecutive naturals, for example, 35598393 + ... + 35973746.

It is an arithmetic number, because the mean of its divisors is an integer number (575039201616).

Almost surely, 213432444331103 is an apocalyptic number.

13432444331103 is a deficient number, since it is larger than the sum of its proper divisors (9569123733537).

13432444331103 is an equidigital number, since it uses as much as digits as its factorization.

13432444331103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71572489 (or 71572480 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 13432444331103 its reverse (30113344423431), we get a palindrome (43545788754534).

The spelling of 13432444331103 in words is "thirteen trillion, four hundred thirty-two billion, four hundred forty-four million, three hundred thirty-one thousand, one hundred three".

Divisors: 1 3 7 9 21 27 63 81 189 331 567 993 2317 2979 6951 8937 20853 26811 62559 187677 71572139 214716417 501004973 644149251 1503014919 1932447753 4509044757 5797343259 13527134271 23690378009 40581402813 71071134027 165832646063 213213402081 497497938189 639640206243 1492493814567 1918920618729 4477481443701 13432444331103