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141311431311232 = 2771312131819309
BaseRepresentation
bin100000001000010110100001…
…101010100111111110000000
3200112100020111121121202211211
4200020112201222213332000
5122010221302403424412
61220313324135215504
741523262000354450
oct4010264152477600
9615306447552754
10141311431311232
1141031928aa2796
1213a23128517594
1360b07c2bb7810
1426c771cb3bd60
151150c7bc9bca7
hex8085a1aa7f80

141311431311232 has 64 divisors (see below), whose sum is σ = 346484759493600. Its totient is φ = 55903423371264.

The previous prime is 141311431311227. The next prime is 141311431311233. The reversal of 141311431311232 is 232113134113141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1413114313112323 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141311431311194 and 141311431311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141311431311233) 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 7 ways as a sum of consecutive naturals, for example, 6065898007 + ... + 6065921302.

Almost surely, 2141311431311232 is an apocalyptic number.

It is an amenable number.

141311431311232 is an abundant number, since it is smaller than the sum of its proper divisors (205173328182368).

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

141311431311232 is a wasteful number, since it uses less digits than its factorization.

141311431311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12131819343 (or 12131819331 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

Adding to 141311431311232 its reverse (232113134113141), we get a palindrome (373424565424373).

The spelling of 141311431311232 in words is "one hundred forty-one trillion, three hundred eleven billion, four hundred thirty-one million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 11648 12131819309 24263638618 48527277236 84922735163 97054554472 157713651017 169845470326 194109108944 315427302034 339690940652 388218217888 630854604068 679381881304 776436435776 1103995557119 1261709208136 1358763762608 1552872871552 2207991114238 2523418416272 2717527525216 4415982228476 5046836832544 5435055050432 8831964456952 10093673665088 10870110100864 17663928913904 20187347330176 35327857827808 70655715655616 141311431311232