Search a number
-
+
1402133310333 = 327273310914009
BaseRepresentation
bin10100011001110101101…
…010000110101101111101
311222001011002012012002200
4110121311222012231331
5140433032111412313
62552044154542113
7203205112330500
oct24316552065575
94861132165080
101402133310333
114a0706777988
121a78ab737939
13a22b3888692
144bc13a87137
15267155a6b73
hex14675a86b7d

1402133310333 has 72 divisors (see below), whose sum is σ = 2389177697400. Its totient is φ = 789932860416.

The previous prime is 1402133310317. The next prime is 1402133310341. The reversal of 1402133310333 is 3330133312041.

1402133310333 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 13 + 3 + 310 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 217773422244 + 1184359888089 = 466662^2 + 1088283^2 .

It is not a de Polignac number, because 1402133310333 - 24 = 1402133310317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1402133310297 and 1402133310306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402133110333) 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 71 ways as a sum of consecutive naturals, for example, 100081033 + ... + 100095041.

It is an arithmetic number, because the mean of its divisors is an integer number (33183023575).

Almost surely, 21402133310333 is an apocalyptic number.

It is an amenable number.

1402133310333 is a deficient number, since it is larger than the sum of its proper divisors (987044387067).

1402133310333 is a wasteful number, since it uses less digits than its factorization.

1402133310333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17211 (or 17201 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1402133310333 its reverse (3330133312041), we get a palindrome (4732266622374).

The spelling of 1402133310333 in words is "one trillion, four hundred two billion, one hundred thirty-three million, three hundred ten thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 49 63 73 147 219 441 511 657 1533 3109 3577 4599 9327 10731 14009 21763 27981 32193 42027 65289 98063 126081 152341 195867 226957 294189 457023 680871 686441 882567 1022657 1371069 1588699 2042613 2059323 3067971 4766097 6177969 7158599 9203913 11120893 14298291 21475797 33362679 43553981 50110193 64427391 100088037 130661943 150330579 304877867 391985829 450991737 914633601 2134145069 2743900803 3179440613 6402435207 9538321839 19207305621 22256084291 28614965517 66768252873 155792590037 200304758619 467377770111 1402133310333