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40345355061 = 321110111233593
BaseRepresentation
bin100101100100110001…
…010100001100110101
310212010201220101120200
4211210301110030311
51130111402330221
630311232551113
72625536600604
oct454461241465
9125121811520
1040345355061
11161239a0450
12799b6b2499
133a5c7a047b
141d4a3c9a3b
1510b1ea4426
hex964c54335

40345355061 has 48 divisors (see below), whose sum is σ = 64279006272. Its totient is φ = 24181344000.

The previous prime is 40345355059. The next prime is 40345355153. The reversal of 40345355061 is 16055354304.

40345355061 is a `hidden beast` number, since 4 + 0 + 3 + 45 + 3 + 550 + 61 = 666.

It is not a de Polignac number, because 40345355061 - 21 = 40345355059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40345355021) 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, 11227081 + ... + 11230673.

It is an arithmetic number, because the mean of its divisors is an integer number (1339145964).

Almost surely, 240345355061 is an apocalyptic number.

It is an amenable number.

40345355061 is a deficient number, since it is larger than the sum of its proper divisors (23933651211).

40345355061 is a wasteful number, since it uses less digits than its factorization.

40345355061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 40345355061 in words is "forty billion, three hundred forty-five million, three hundred fifty-five thousand, sixty-one".

Divisors: 1 3 9 11 33 99 101 303 909 1111 1123 3333 3369 3593 9999 10107 10779 12353 32337 37059 39523 111177 113423 118569 340269 355707 362893 1020807 1088679 1247653 3266037 3742959 3991823 4034939 11228877 11975469 12104817 35926407 36314451 44384329 133152987 399458961 407528839 1222586517 3667759551 4482817229 13448451687 40345355061