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131444443438 = 272111913148989
BaseRepresentation
bin111101001101010110…
…0110000100100101110
3110120021120220120111221
41322122230300210232
54123144234142223
6140215034333554
712332213222500
oct1723254604456
9416246816457
10131444443438
1150821a63940
122158458a2ba
13c51a2144a9
14650d269d70
153644a86b5d
hex1e9ab3092e

131444443438 has 96 divisors (see below), whose sum is σ = 265392547200. Its totient is φ = 48145406400.

The previous prime is 131444443399. The next prime is 131444443439. The reversal of 131444443438 is 834344444131.

It is a junction number, because it is equal to n+sod(n) for n = 131444443394 and 131444443403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131444443439) 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, 2658648 + ... + 2707636.

It is an arithmetic number, because the mean of its divisors is an integer number (2764505700).

Almost surely, 2131444443438 is an apocalyptic number.

131444443438 is an abundant number, since it is smaller than the sum of its proper divisors (133948103762).

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

131444443438 is a wasteful number, since it uses less digits than its factorization.

131444443438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49166 (or 49159 counting only the distinct ones).

The product of its digits is 884736, while the sum is 43.

Adding to 131444443438 its reverse (834344444131), we get a palindrome (965788887569).

The spelling of 131444443438 in words is "one hundred thirty-one billion, four hundred forty-four million, four hundred forty-three thousand, four hundred thirty-eight".

Divisors: 1 2 7 11 14 19 22 38 49 77 98 131 133 154 209 262 266 418 539 917 931 1078 1441 1463 1834 1862 2489 2882 2926 4978 6419 10087 10241 12838 17423 20174 20482 27379 34846 48989 54758 70609 97978 121961 141218 191653 243922 342923 383306 538879 685846 930791 1077758 1341571 1861582 2400461 2683142 3772153 4800922 6417559 6515537 7544306 10238701 12835118 13031074 20477402 26405071 44922913 45608759 52810142 70593149 71670907 89845826 91217518 121933621 141186298 143341814 243867242 314460391 494152043 501696349 628920782 853535347 988304086 1003392698 1341269831 1707070694 2682539662 3459064301 5974747429 6918128602 9388888817 11949494858 18777777634 65722221719 131444443438