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40557376305 = 3251038750243
BaseRepresentation
bin100101110001011010…
…000111001100110001
310212200111212012001100
4211301122013030301
51131030142020210
630344245155013
72634023003415
oct456132071461
9125614765040
1040557376305
1116222644116
127a3a6bba69
133a946a6324
141d6a61ad45
1510c58d55c0
hex971687331

40557376305 has 24 divisors (see below), whose sum is σ = 70981979328. Its totient is φ = 21420592416.

The previous prime is 40557376303. The next prime is 40557376319. The reversal of 40557376305 is 50367375504.

40557376305 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 7 + 3 + 7 + 630 + 5 = 666.

It is not a de Polignac number, because 40557376305 - 21 = 40557376303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40557376303) 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 23 ways as a sum of consecutive naturals, for example, 4370487 + ... + 4379756.

It is an arithmetic number, because the mean of its divisors is an integer number (2957582472).

Almost surely, 240557376305 is an apocalyptic number.

40557376305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40557376305 is a deficient number, since it is larger than the sum of its proper divisors (30424603023).

40557376305 is a wasteful number, since it uses less digits than its factorization.

40557376305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750357 (or 8750354 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 40557376305 in words is "forty billion, five hundred fifty-seven million, three hundred seventy-six thousand, three hundred five".

Divisors: 1 3 5 9 15 45 103 309 515 927 1545 4635 8750243 26250729 43751215 78752187 131253645 393760935 901275029 2703825087 4506375145 8111475261 13519125435 40557376305