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4077090342945 = 335247312212159
BaseRepresentation
bin111011010101000101100…
…001011000100000100001
3112102202200102202212211000
4323111011201120200201
51013244340111433240
612400553415342213
7600363046053414
oct73250541304041
915382612685730
104077090342945
1113320a22332a4
1255a201381969
1323761118b089
141014918abb7b
15710c3ccd430
hex3b545858821

4077090342945 has 32 divisors (see below), whose sum is σ = 7251092121600. Its totient is φ = 2173568729472.

The previous prime is 4077090342911. The next prime is 4077090342947. The reversal of 4077090342945 is 5492430907704.

4077090342945 is a `hidden beast` number, since 407 + 70 + 90 + 3 + 42 + 9 + 45 = 666.

It is not a de Polignac number, because 4077090342945 - 218 = 4077090080801 is a prime.

It is a super-2 number, since 2×40770903429452 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4077090342891 and 4077090342900.

It is not an unprimeable number, because it can be changed into a prime (4077090342947) 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 31 ways as a sum of consecutive naturals, for example, 5772225 + ... + 6439934.

It is an arithmetic number, because the mean of its divisors is an integer number (226596628800).

Almost surely, 24077090342945 is an apocalyptic number.

4077090342945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4077090342945 is a deficient number, since it is larger than the sum of its proper divisors (3174001778655).

4077090342945 is a wasteful number, since it uses less digits than its factorization.

4077090342945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12214646 (or 12214640 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 4077090342945 in words is "four trillion, seventy-seven billion, ninety million, three hundred forty-two thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 2473 7419 12365 22257 37095 66771 111285 333855 12212159 36636477 61060795 109909431 183182385 329728293 549547155 1648641465 30200669207 90602007621 151003346035 271806022863 453010038105 815418068589 1359030114315 4077090342945