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20432144323201 = 1310754764141893
BaseRepresentation
bin1001010010101001110101…
…01101000101001010000001
32200100021221021020200110111
410221110322231011022001
510134230012421320301
6111242221510431321
74206113404120612
oct451247255051201
980307837220414
1020432144323201
1165682508951a6
12235ba77962541
13b52987323560
14508cc7571c09
15256748778551
hex12953ab45281

20432144323201 has 32 divisors (see below), whose sum is σ = 22285337010048. Its totient is φ = 18620477890560.

The previous prime is 20432144323177. The next prime is 20432144323249. The reversal of 20432144323201 is 10232344123402.

It is not a de Polignac number, because 20432144323201 - 25 = 20432144323169 is a prime.

It is a super-2 number, since 2×204321443232012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20432144323271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487701211 + ... + 487743103.

It is an arithmetic number, because the mean of its divisors is an integer number (696416781564).

Almost surely, 220432144323201 is an apocalyptic number.

It is an amenable number.

20432144323201 is a deficient number, since it is larger than the sum of its proper divisors (1853192686847).

20432144323201 is a wasteful number, since it uses less digits than its factorization.

20432144323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43201.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 20432144323201 its reverse (10232344123402), we get a palindrome (30664488446603).

The spelling of 20432144323201 in words is "twenty trillion, four hundred thirty-two billion, one hundred forty-four million, three hundred twenty-three thousand, two hundred one".

Divisors: 1 13 107 547 641 1391 7111 8333 41893 58529 68587 350627 544609 760877 891631 4482551 4558151 22915471 26853413 37517089 58273163 297901123 349094369 487722157 2451955397 2873315191 14688816911 31875420161 37353097483 190954619843 1571703409477 20432144323201