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141333347664 = 2434109053509
BaseRepresentation
bin1000001110100000011…
…1111011110101010000
3111111210202121221220000
42003220013323311100
54303422314111124
6144532212050000
713132241430165
oct2035007736520
9444722557800
10141333347664
1154a36a98a63
1223484303900
1310434ba4902
146baa75006c
153a22cec6c9
hex20e81fbd50

141333347664 has 50 divisors (see below), whose sum is σ = 409059716010. Its totient is φ = 47111115456.

The previous prime is 141333347663. The next prime is 141333347669. The reversal of 141333347664 is 466743333141.

141333347664 is a `hidden beast` number, since 14 + 133 + 33 + 476 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135497610000 + 5835737664 = 368100^2 + 76392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141333347663) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 54525459 + ... + 54528050.

Almost surely, 2141333347664 is an apocalyptic number.

It is an amenable number.

141333347664 is an abundant number, since it is smaller than the sum of its proper divisors (267726368346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141333347664 is a wasteful number, since it uses less digits than its factorization.

141333347664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109053529 (or 109053514 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The spelling of 141333347664 in words is "one hundred forty-one billion, three hundred thirty-three million, three hundred forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 109053509 218107018 327160527 436214036 654321054 872428072 981481581 1308642108 1744856144 1962963162 2617284216 2944444743 3925926324 5234568432 5888889486 7851852648 8833334229 11777778972 15703705296 17666668458 23555557944 35333336916 47111115888 70666673832 141333347664