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342033141330243 = 321122918159836163
BaseRepresentation
bin100110111000100111100101…
…1111000111111000101000011
31122212001001022200222110111100
41031301033023320333011003
5324312332333140031433
63211235504515145443
7132021036043644006
oct11561171370770503
91585031280873440
10342033141330243
1199a8949354a300
1232440392ba5283
13118b0782364c0c
1460666c70c153d
152982100d41b13
hex13713cbe3f143

342033141330243 has 72 divisors (see below), whose sum is σ = 564873732455760. Its totient is φ = 199039009276800.

The previous prime is 342033141330191. The next prime is 342033141330269.

342033141330243 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 3 + 314 + 1 + 330 + 2 + 4 + 3 = 666.

342033141330243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342033141330243 - 217 = 342033141199171 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 342033141330198 and 342033141330207.

It is not an unprimeable number, because it can be changed into a prime (342033041330243) 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, 24201921 + ... + 35634242.

It is an arithmetic number, because the mean of its divisors is an integer number (7845468506330).

Almost surely, 2342033141330243 is an apocalyptic number.

342033141330243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

342033141330243 is a deficient number, since it is larger than the sum of its proper divisors (222840591125517).

342033141330243 is a wasteful number, since it uses less digits than its factorization.

342033141330243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59836401 (or 59836387 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The spelling of 342033141330243 in words is "three hundred forty-two trillion, thirty-three billion, one hundred forty-one million, three hundred thirty thousand, two hundred forty-three".

Divisors: 1 3 9 11 29 33 87 99 121 181 261 319 363 543 957 1089 1629 1991 2871 3509 5249 5973 10527 15747 17919 21901 31581 47241 57739 65703 173217 197109 519651 635129 1905387 5716161 59836163 179508489 538525467 658197793 1735248727 1974593379 5205746181 5923780137 7240175723 10830345503 15617238543 19087735997 21720527169 32491036509 57263207991 65161581507 97473109527 119133800533 171789623973 209965095967 314080019587 357401401599 629895287901 942240058761 1072204204797 1310471805863 1889685863703 2826720176283 3454880215457 3931415417589 10364640646371 11794246252767 31093921939113 38003682370027 114011047110081 342033141330243