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220144044140331 = 34713911232412069
BaseRepresentation
bin110010000011100001000111…
…100011001110011100101011
31001212110120020221120001120120
4302003201013203032130223
5212323320000244442311
62100112435553254323
764240611431333343
oct6203410743163453
91055416227501516
10220144044140331
1164165623856a63
1220835482b643a3
1395ab656c3c53c
143c51058633d23
151a6b6b9bda706
hexc838478ce72b

220144044140331 has 16 divisors (see below), whose sum is σ = 301927236441600. Its totient is φ = 142606703615328.

The previous prime is 220144044140309. The next prime is 220144044140359. The reversal of 220144044140331 is 133041440441022.

It is a happy number.

It is not a de Polignac number, because 220144044140331 - 221 = 220144042043179 is a prime.

It is a super-2 number, since 2×2201440441403312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220144044140292 and 220144044140301.

It is not an unprimeable number, because it can be changed into a prime (220144044140381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5616186436 + ... + 5616225633.

It is an arithmetic number, because the mean of its divisors is an integer number (18870452277600).

Almost surely, 2220144044140331 is an apocalyptic number.

220144044140331 is a deficient number, since it is larger than the sum of its proper divisors (81783192301269).

220144044140331 is a wasteful number, since it uses less digits than its factorization.

220144044140331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11232412258.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 220144044140331 its reverse (133041440441022), we get a palindrome (353185484581353).

The spelling of 220144044140331 in words is "two hundred twenty trillion, one hundred forty-four billion, forty-four million, one hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 47 139 141 417 6533 19599 11232412069 33697236207 527923367243 1561305277591 1583770101729 4683915832773 73381348046777 220144044140331