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288660141 = 327112191993
BaseRepresentation
bin10001001101001…
…001101010101101
3202010011110021100
4101031021222231
51042344111031
644350553313
710103366520
oct2115115255
9663143240
10288660141
11138a39700
1280808839
1347a5a423
142a4a0bb7
151a51dde6
hex11349aad

288660141 has 72 divisors (see below), whose sum is σ = 551620160. Its totient is φ = 141989760.

The previous prime is 288660107. The next prime is 288660149. The reversal of 288660141 is 141066882.

288660141 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 601 + 41 = 666.

It is not a de Polignac number, because 288660141 - 210 = 288659117 is a prime.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 288660096 and 288660105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288660149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143841 + ... + 145833.

Almost surely, 2288660141 is an apocalyptic number.

288660141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

288660141 is a deficient number, since it is larger than the sum of its proper divisors (262960019).

288660141 is a wasteful number, since it uses less digits than its factorization.

288660141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 288660141 is about 16990.0012065921. The cubic root of 288660141 is about 660.8896336309.

The spelling of 288660141 in words is "two hundred eighty-eight million, six hundred sixty thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 121 133 171 209 231 363 399 627 693 847 1089 1197 1463 1881 1993 2299 2541 4389 5979 6897 7623 13167 13951 16093 17937 20691 21923 37867 41853 48279 65769 113601 125559 144837 153461 197307 241153 265069 340803 416537 460383 723459 795207 1249611 1381149 1688071 2170377 2385621 2915759 3748833 4581907 5064213 8747277 13745721 15192639 26241831 32073349 41237163 96220047 288660141