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201412022340033 = 32791512141987587
BaseRepresentation
bin101101110010111011100100…
…000010111000100111000001
3222102010210122010210000011100
4231302323210002320213001
5202344413310204340113
61552211223344405013
760265352450214561
oct5562734402704701
9872123563700140
10201412022340033
11591a33a48a064a
121a70abba916769
1388500c284cb0b
1437a4572bc4da1
1518442c78d3d73
hexb72ee40b89c1

201412022340033 has 48 divisors (see below), whose sum is σ = 296579414476800. Its totient is φ = 131689369749600.

The previous prime is 201412022339963. The next prime is 201412022340077. The reversal of 201412022340033 is 330043220214102.

201412022340033 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 1 + 2 + 0 + 223 + 400 + 33 = 666.

It is not a de Polignac number, because 201412022340033 - 217 = 201412022208961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201412022339979 and 201412022340006.

It is not an unprimeable number, because it can be changed into a prime (201412022440033) 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 47 ways as a sum of consecutive naturals, for example, 2299521466 + ... + 2299609052.

It is an arithmetic number, because the mean of its divisors is an integer number (6178737801600).

Almost surely, 2201412022340033 is an apocalyptic number.

It is an amenable number.

201412022340033 is a deficient number, since it is larger than the sum of its proper divisors (95167392136767).

201412022340033 is a wasteful number, since it uses less digits than its factorization.

201412022340033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109242 (or 109239 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 201412022340033 its reverse (330043220214102), we get a palindrome (531455242554135).

The spelling of 201412022340033 in words is "two hundred one trillion, four hundred twelve billion, twenty-two million, three hundred forty thousand, thirty-three".

Divisors: 1 3 9 79 151 237 453 711 1359 11929 21419 35787 64257 87587 107361 192771 262761 788283 1692101 3234269 5076303 6919373 9702807 13225637 15228909 20758119 29108421 39676911 62274357 119030733 255507251 766521753 1044825323 1876025953 2299565259 3134475969 5628077859 9403427907 16884233577 148206050287 283279918903 444618150861 849839756709 1333854452583 2549519270127 22379113593337 67137340780011 201412022340033