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133460022126042 = 23317236320925553
BaseRepresentation
bin11110010110000110010101…
…001101011110010111011010
3122111112122122102001212012000
4132112012111031132113122
5114443102111131013132
61151502404320101430
740053111522416643
oct3626062515362732
9574478572055160
10133460022126042
1139585094215a47
1212b75543464876
1359612c2929621
1424d56dca2a6ca
151066904d5987c
hex79619535e5da

133460022126042 has 64 divisors (see below), whose sum is σ = 327676780719360. Its totient is φ = 40049384297472.

The previous prime is 133460022126023. The next prime is 133460022126047. The reversal of 133460022126042 is 240621220064331.

133460022126042 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 600 + 2 + 2 + 1 + 2 + 6 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133460022125988 and 133460022126006.

It is not an unprimeable number, because it can be changed into a prime (133460022126047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3160441663 + ... + 3160483890.

It is an arithmetic number, because the mean of its divisors is an integer number (5119949698740).

Almost surely, 2133460022126042 is an apocalyptic number.

133460022126042 is an abundant number, since it is smaller than the sum of its proper divisors (194216758593318).

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

133460022126042 is a wasteful number, since it uses less digits than its factorization.

133460022126042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320925604 (or 6320925598 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 133460022126042 in words is "one hundred thirty-three trillion, four hundred sixty billion, twenty-two million, one hundred twenty-six thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 306 391 414 459 621 782 918 1173 1242 2346 3519 7038 10557 21114 6320925553 12641851106 18962776659 37925553318 56888329977 107455734401 113776659954 145381287719 170664989931 214911468802 290762575438 322367203203 341329979862 436143863157 644734406406 872287726314 967101609609 1308431589471 1934203219218 2471481891223 2616863178942 2901304828827 3925294768413 4942963782446 5802609657654 7414445673669 7850589536826 14828891347338 22243337021007 44486674042014 66730011063021 133460022126042