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42736438431 = 351746122441
BaseRepresentation
bin100111110011010010…
…100100110010011111
311002022101011000100000
4213303102210302133
51200011012012211
631344410105343
73042022506261
oct476322446237
9132271130300
1042736438431
1117140672805
12834841b253
134050c866bb
1420d5ba7b31
1511a1d68656
hex9f34a4c9f

42736438431 has 48 divisors (see below), whose sum is σ = 67932472608. Its totient is φ = 26755660800.

The previous prime is 42736438373. The next prime is 42736438441. The reversal of 42736438431 is 13483463724.

It is not a de Polignac number, because 42736438431 - 222 = 42732244127 is a prime.

It is a super-2 number, since 2×427364384312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42736438441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1893171 + ... + 1915611.

It is an arithmetic number, because the mean of its divisors is an integer number (1415259846).

Almost surely, 242736438431 is an apocalyptic number.

42736438431 is a deficient number, since it is larger than the sum of its proper divisors (25196034177).

42736438431 is a wasteful number, since it uses less digits than its factorization.

42736438431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22934 (or 22922 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 42736438431 in words is "forty-two billion, seven hundred thirty-six million, four hundred thirty-eight thousand, four hundred thirty-one".

Divisors: 1 3 9 17 27 51 81 153 243 459 461 1377 1383 4131 4149 7837 12447 22441 23511 37341 67323 70533 112023 201969 211599 381497 605907 634797 1144491 1817721 1904391 3433473 5453163 10300419 10345301 30901257 31035903 92703771 93107709 175870117 279323127 527610351 837969381 1582831053 2513908143 4748493159 14245479477 42736438431