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32142441331 = 71121317171713
BaseRepresentation
bin11101111011110101…
…101011101101110011
310001222001200012101001
4131323311223231303
51011311431110311
622433244022431
72215343146330
oct357365535563
9101861605331
1032142441331
11126a462aa00
126290531a17
1330531c2a70
1417acbc1987
15c81c764c1
hex77bd6bb73

32142441331 has 48 divisors (see below), whose sum is σ = 46041331392. Its totient is φ = 21759344640.

The previous prime is 32142441329. The next prime is 32142441337. The reversal of 32142441331 is 13314424123.

It is a happy number.

It is not a de Polignac number, because 32142441331 - 21 = 32142441329 is a prime.

It is a super-2 number, since 2×321424413312 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32142441331.

It is not an unprimeable number, because it can be changed into a prime (32142441337) 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, 101331 + ... + 273043.

It is an arithmetic number, because the mean of its divisors is an integer number (959194404).

Almost surely, 232142441331 is an apocalyptic number.

32142441331 is a deficient number, since it is larger than the sum of its proper divisors (13898890061).

32142441331 is a wasteful number, since it uses less digits than its factorization.

32142441331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171772 (or 171761 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 32142441331 its reverse (13314424123), we get a palindrome (45456865454).

The spelling of 32142441331 in words is "thirty-two billion, one hundred forty-two million, four hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 7 11 13 17 77 91 119 121 143 187 221 847 1001 1309 1547 1573 2057 2431 11011 14399 17017 26741 171713 187187 1201991 1888843 2232269 2919121 13221901 15625883 20433847 20777273 24554959 32110331 37948573 145440911 171884713 224772317 265640011 270104549 353213641 417434303 1890731843 2472495487 2922040121 4591777333 32142441331