Search a number
-
+
3441311214201 = 327713797202621
BaseRepresentation
bin110010000100111110001…
…000011110101001111001
3110011222121220011202200100
4302010332020132221321
5422340301132323301
611152525550230013
7503424620453610
oct62047610365171
913158556152610
103441311214201
1111074a7513813
12476b481b5309
131bc68ba83b93
14bc7bb866877
155e7b2ccc286
hex3213e21ea79

3441311214201 has 48 divisors (see below), whose sum is σ = 5762452969728. Its totient is φ = 1938246710400.

The previous prime is 3441311214199. The next prime is 3441311214203. The reversal of 3441311214201 is 1024121131443.

It is a happy number.

3441311214201 is a `hidden beast` number, since 3 + 4 + 413 + 11 + 214 + 20 + 1 = 666.

3441311214201 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3441311214199) and next prime (3441311214203).

It is not a de Polignac number, because 3441311214201 - 21 = 3441311214199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3441311214203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16882671 + ... + 17085291.

It is an arithmetic number, because the mean of its divisors is an integer number (120051103536).

Almost surely, 23441311214201 is an apocalyptic number.

It is an amenable number.

3441311214201 is a deficient number, since it is larger than the sum of its proper divisors (2321141755527).

3441311214201 is a wasteful number, since it uses less digits than its factorization.

3441311214201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206502 (or 206499 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 3441311214201 its reverse (1024121131443), we get a palindrome (4465432345644).

The spelling of 3441311214201 in words is "three trillion, four hundred forty-one billion, three hundred eleven million, two hundred fourteen thousand, two hundred one".

Divisors: 1 3 7 9 21 63 71 213 497 639 1491 3797 4473 11391 26579 34173 79737 202621 239211 269587 607863 808761 1418347 1823589 1887109 2426283 4255041 5661327 12765123 14386091 16983981 43158273 100702637 129474819 302107911 769351937 906323733 2308055811 5385463559 6924167433 16156390677 48469172031 54623987527 163871962581 382367912689 491615887743 1147103738067 3441311214201