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40428134757 = 325919122087
BaseRepresentation
bin100101101001101101…
…000110000101100101
310212100111200000222100
4211221231012011211
51130244100303012
630323351122313
72630563322043
oct455155060545
9125314600870
1040428134757
11161666a001a
127a03373399
133a73994b3a
141d573b7393
1510b93a68dc
hex969b46165

40428134757 has 36 divisors (see below), whose sum is σ = 59727114720. Its totient is φ = 26343927120.

The previous prime is 40428134753. The next prime is 40428134833. The reversal of 40428134757 is 75743182404.

40428134757 is a `hidden beast` number, since 40 + 428 + 134 + 7 + 57 = 666.

It is not a de Polignac number, because 40428134757 - 22 = 40428134753 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40428134753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19370368 + ... + 19372454.

It is an arithmetic number, because the mean of its divisors is an integer number (1659086520).

Almost surely, 240428134757 is an apocalyptic number.

It is an amenable number.

40428134757 is a deficient number, since it is larger than the sum of its proper divisors (19298979963).

40428134757 is a wasteful number, since it uses less digits than its factorization.

40428134757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 40428134757 in words is "forty billion, four hundred twenty-eight million, one hundred thirty-four thousand, seven hundred fifty-seven".

Divisors: 1 3 9 59 177 191 531 573 1719 2087 6261 11269 18783 33807 36481 101421 109443 123133 328329 369399 398617 1108197 1195851 2152379 3587553 6457137 19371411 23518403 70555209 76135847 211665627 228407541 685222623 4492014973 13476044919 40428134757