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4024040050017 = 331379145120273
BaseRepresentation
bin111010100011101011011…
…110100100110101100001
3112020200202021021202221000
4322203223132210311201
51011412213223100032
612320341331422213
7563504315030361
oct72435336446541
915220667252830
104024040050017
111311649779aa9
1254ba76a54969
132326084a82c0
14dca9c0029a1
156ea1b75ce7c
hex3a8eb7a4d61

4024040050017 has 32 divisors (see below), whose sum is σ = 6501388275200. Its totient is φ = 2444986342656.

The previous prime is 4024040050007. The next prime is 4024040050021. The reversal of 4024040050017 is 7100500404204.

4024040050017 is a `hidden beast` number, since 4 + 0 + 240 + 400 + 5 + 0 + 0 + 17 = 666.

It is not a de Polignac number, because 4024040050017 - 28 = 4024040049761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4024040050007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72532408 + ... + 72587865.

It is an arithmetic number, because the mean of its divisors is an integer number (203168383600).

Almost surely, 24024040050017 is an apocalyptic number.

It is an amenable number.

4024040050017 is a deficient number, since it is larger than the sum of its proper divisors (2477348225183).

4024040050017 is a wasteful number, since it uses less digits than its factorization.

4024040050017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145120374 (or 145120368 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 4024040050017 in words is "four trillion, twenty-four billion, forty million, fifty thousand, seventeen".

Divisors: 1 3 9 13 27 39 79 117 237 351 711 1027 2133 3081 9243 27729 145120273 435360819 1306082457 1886563549 3918247371 5659690647 11464501567 16979071941 34393504701 50937215823 103180514103 149038520371 309541542309 447115561113 1341346683339 4024040050017