Search a number
-
+
1431213403221 = 33741211875339
BaseRepresentation
bin10100110100111010111…
…101110110110001010101
312001211012201111222011000
4110310322331312301111
5141422111112400341
63013253530133513
7205254542126430
oct24647275666125
95054181458130
101431213403221
11501a797220a8
121b1466581299
13a4c694a7034
144d3b1c72817
15273685708b6
hex14d3af76c55

1431213403221 has 64 divisors (see below), whose sum is σ = 2494088755200. Its totient is φ = 794106633600.

The previous prime is 1431213403201. The next prime is 1431213403229. The reversal of 1431213403221 is 1223043121341.

1431213403221 is a `hidden beast` number, since 1 + 4 + 31 + 2 + 1 + 3 + 403 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1431213403221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431213403229) 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, 1197370 + ... + 2072708.

It is an arithmetic number, because the mean of its divisors is an integer number (38970136800).

Almost surely, 21431213403221 is an apocalyptic number.

It is an amenable number.

1431213403221 is a deficient number, since it is larger than the sum of its proper divisors (1062875351979).

1431213403221 is a wasteful number, since it uses less digits than its factorization.

1431213403221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875607 (or 875601 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1431213403221 its reverse (1223043121341), we get a palindrome (2654256524562).

The spelling of 1431213403221 in words is "one trillion, four hundred thirty-one billion, two hundred thirteen million, four hundred three thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 41 63 123 189 211 287 369 633 861 1107 1477 1899 2583 4431 5697 7749 8651 13293 25953 39879 60557 77859 181671 233577 545013 875339 1635039 2626017 6127373 7878051 18382119 23634153 35888899 55146357 107666697 165439071 184696529 251222293 323000091 554089587 753666879 969000273 1292875703 1662268761 2261000637 3878627109 4986806283 6783001911 7572557689 11635881327 22717673067 34907643981 53007903823 68153019201 159023711469 204459057603 477071134407 1431213403221