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34014545541 = 3419151146369
BaseRepresentation
bin11111101011011011…
…001100011010000101
310020210112100221120000
4133223123030122011
51024130210424131
623343121431513
72312624603154
oct375333143205
9106715327500
1034014545541
1113475362569
12671349b599
13329100a332
1419096a759b
15d412c3ce6
hex7eb6cc685

34014545541 has 40 divisors (see below), whose sum is σ = 53840740800. Its totient is φ = 21340454400.

The previous prime is 34014545531. The next prime is 34014545563. The reversal of 34014545541 is 14554541043.

34014545541 is a `hidden beast` number, since 3 + 40 + 14 + 54 + 554 + 1 = 666.

It is not a de Polignac number, because 34014545541 - 27 = 34014545413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34014545496 and 34014545505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014545531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159205 + ... + 305573.

It is an arithmetic number, because the mean of its divisors is an integer number (1346018520).

Almost surely, 234014545541 is an apocalyptic number.

It is an amenable number.

34014545541 is a deficient number, since it is larger than the sum of its proper divisors (19826195259).

34014545541 is a wasteful number, since it uses less digits than its factorization.

34014545541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146551 (or 146542 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 34014545541 in words is "thirty-four billion, fourteen million, five hundred forty-five thousand, five hundred forty-one".

Divisors: 1 3 9 19 27 57 81 151 171 453 513 1359 1539 2869 4077 8607 12231 25821 77463 146369 232389 439107 1317321 2781011 3951963 8343033 11855889 22101719 25029099 66305157 75087297 198915471 225261891 419932661 596746413 1259797983 1790239239 3779393949 11338181847 34014545541