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445227654141 = 32291938838617
BaseRepresentation
bin1100111101010011010…
…00101101101111111101
31120120012200101020211100
412132221220231233331
524243311234413031
6540311301443313
744111104421664
oct6365150555775
91516180336740
10445227654141
11161902449366
1272355a10539
1332ca5769a7a
1417798b71ddb
15b8ac304de6
hex67a9a2dbfd

445227654141 has 24 divisors (see below), whose sum is σ = 668729837880. Its totient is φ = 285098397696.

The previous prime is 445227654107. The next prime is 445227654149. The reversal of 445227654141 is 141456722544.

445227654141 is a `hidden beast` number, since 4 + 4 + 5 + 227 + 6 + 5 + 414 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4934360025 + 440293294116 = 70245^2 + 663546^2 .

It is not a de Polignac number, because 445227654141 - 26 = 445227654077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445227654149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4368936 + ... + 4469681.

It is an arithmetic number, because the mean of its divisors is an integer number (27863743245).

Almost surely, 2445227654141 is an apocalyptic number.

It is an amenable number.

445227654141 is a deficient number, since it is larger than the sum of its proper divisors (223502183739).

445227654141 is a wasteful number, since it uses less digits than its factorization.

445227654141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8838845 (or 8838842 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 445227654141 in words is "four hundred forty-five billion, two hundred twenty-seven million, six hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 3 9 29 87 193 261 579 1737 5597 16791 50373 8838617 26515851 79547553 256319893 768959679 1705853081 2306879037 5117559243 15352677729 49469739349 148409218047 445227654141