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200142331401441 = 311134394493236527
BaseRepresentation
bin101101100000011101000100…
…100100010101010011100001
3222020122102100012021101212010
4231200131010210111103201
5202213112443314321231
61545400041233223133
760104543356261542
oct5540350444252341
9866572305241763
10200142331401441
1158853982415940
121a544b11a01aa9
13878a457b6bb50
14375cd24b364c9
1518212647d6546
hexb607449154e1

200142331401441 has 64 divisors (see below), whose sum is σ = 314295076085760. Its totient is φ = 111687350135040.

The previous prime is 200142331401379. The next prime is 200142331401503. The reversal of 200142331401441 is 144104133241002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200142331401379) and next prime (200142331401503).

It is not a de Polignac number, because 200142331401441 - 26 = 200142331401377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200142331401399 and 200142331401408.

It is not an unprimeable number, because it can be changed into a prime (200142331401841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 846052920 + ... + 846289446.

It is an arithmetic number, because the mean of its divisors is an integer number (4910860563840).

Almost surely, 2200142331401441 is an apocalyptic number.

It is an amenable number.

200142331401441 is a deficient number, since it is larger than the sum of its proper divisors (114152744684319).

200142331401441 is a wasteful number, since it uses less digits than its factorization.

200142331401441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241486.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 200142331401441 its reverse (144104133241002), we get a palindrome (344246464642443).

The spelling of 200142331401441 in words is "two hundred trillion, one hundred forty-two billion, three hundred thirty-one million, four hundred one thousand, four hundred forty-one".

Divisors: 1 3 11 13 33 39 143 429 439 1317 4493 4829 5707 13479 14487 17121 49423 58409 62777 148269 175227 188331 236527 642499 709581 1927497 1972427 2601797 3074851 5917281 7805391 9224553 21696697 25641551 33823361 65090091 76924653 101470083 103835353 282057061 311506059 846171183 1062715811 1142188883 1349859589 3188147433 3426566649 4049578767 11689873921 13815305543 14848455479 35069621763 41445916629 44545366437 151968360973 455905082919 466532241029 1399596723087 5131854651319 6064919133377 15395563953957 18194757400131 66714110467147 200142331401441