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4182288141 = 35357745587
BaseRepresentation
bin1111100101001000…
…1010011100001101
3101210110201020202210
43321102022130031
532031131210031
61531000541033
7205432601613
oct37122123415
911713636683
104182288141
111856879a89
12988781779
13518616c15
142b96456b3
15197281746
hexf948a70d

4182288141 has 16 divisors (see below), whose sum is σ = 5691570624. Its totient is φ = 2730783744.

The previous prime is 4182288139. The next prime is 4182288163. The reversal of 4182288141 is 1418822814.

4182288141 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4182288141 - 21 = 4182288139 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4182288141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4182288241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68950 + ... + 114536.

It is an arithmetic number, because the mean of its divisors is an integer number (355723164).

Almost surely, 24182288141 is an apocalyptic number.

It is an amenable number.

4182288141 is a deficient number, since it is larger than the sum of its proper divisors (1509282483).

4182288141 is a wasteful number, since it uses less digits than its factorization.

4182288141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46220.

The product of its digits is 32768, while the sum is 39.

The square root of 4182288141 is about 64670.6126536621. The cubic root of 4182288141 is about 1611.1574487556.

The spelling of 4182288141 in words is "four billion, one hundred eighty-two million, two hundred eighty-eight thousand, one hundred forty-one".

Divisors: 1 3 53 159 577 1731 30581 45587 91743 136761 2416111 7248333 26303699 78911097 1394096047 4182288141