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20432141334 = 23211617167249
BaseRepresentation
bin10011000001110110…
…011011110000010110
31221201221200022201100
4103001312123300112
5313321112010314
613215243410530
71322220223113
oct230166336026
957657608640
1020432141334
118735458220
123b62823a46
131c08090a77
14dbb85590a
157e8b7cc09
hex4c1d9bc16

20432141334 has 48 divisors (see below), whose sum is σ = 48372714000. Its totient is φ = 6181486080.

The previous prime is 20432141293. The next prime is 20432141363. The reversal of 20432141334 is 43314123402.

20432141334 is a `hidden beast` number, since 2 + 0 + 4 + 321 + 4 + 1 + 334 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20432141298 and 20432141307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38542 + ... + 205790.

It is an arithmetic number, because the mean of its divisors is an integer number (1007764875).

Almost surely, 220432141334 is an apocalyptic number.

20432141334 is an abundant number, since it is smaller than the sum of its proper divisors (27940572666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20432141334 is a wasteful number, since it uses less digits than its factorization.

20432141334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167885 (or 167882 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20432141334 its reverse (43314123402), we get a palindrome (63746264736).

The spelling of 20432141334 in words is "twenty billion, four hundred thirty-two million, one hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 617 1234 1851 3702 5553 6787 11106 13574 20361 40722 61083 122166 167249 334498 501747 1003494 1505241 1839739 3010482 3679478 5519217 11038434 16557651 33115302 103192633 206385266 309577899 619155798 928733697 1135118963 1857467394 2270237926 3405356889 6810713778 10216070667 20432141334