Search a number
-
+
404130131142021 = 321731162175254091
BaseRepresentation
bin101101111100011011110000…
…0111010001110010110000101
31221222220110111200122202201200
41123320313200322032112011
5410432232002033021041
63551302452543013113
7151060303250251164
oct13370674072162605
91858813450582650
10404130131142021
1110784a698419329
12393ab16329a199
131446640044652b
1471b200762d3db
1531ac5437041b6
hex16f8de0e8e585

404130131142021 has 48 divisors (see below), whose sum is σ = 638058950051328. Its totient is φ = 245376931507200.

The previous prime is 404130131142013. The next prime is 404130131142091. The reversal of 404130131142021 is 120241131031404.

It is a happy number.

404130131142021 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 301 + 311 + 4 + 20 + 21 = 666.

It is not a de Polignac number, because 404130131142021 - 23 = 404130131142013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404130131142091) 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, 74290186 + ... + 79544276.

It is an arithmetic number, because the mean of its divisors is an integer number (13292894792736).

Almost surely, 2404130131142021 is an apocalyptic number.

It is an amenable number.

404130131142021 is a deficient number, since it is larger than the sum of its proper divisors (233928818909307).

404130131142021 is a wasteful number, since it uses less digits than its factorization.

404130131142021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270362 (or 5270359 counting only the distinct ones).

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

Adding to 404130131142021 its reverse (120241131031404), we get a palindrome (524371262173425).

The spelling of 404130131142021 in words is "four hundred four trillion, one hundred thirty billion, one hundred thirty-one million, one hundred forty-two thousand, twenty-one".

Divisors: 1 3 9 17 31 51 93 153 279 527 1581 4743 16217 48651 145953 275689 502727 827067 1508181 2481201 4524543 5254091 8546359 15762273 25639077 47286819 76917231 89319547 162876821 267958641 488630463 803875923 1465891389 2768905957 8306717871 24920153613 85205593747 255616781241 766850343723 1448495093699 2641373406157 4345485281097 7924120218471 13036455843291 23772360655413 44903347904669 134710043714007 404130131142021