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4144442114141 = 721373929157133
BaseRepresentation
bin111100010011110100000…
…000000000000001011101
3112200012112022000100201022
4330103310000000001131
51020400304140123031
612451532545453525
7605266065502400
oct74236400000135
915605468010638
104144442114141
11135871458991a
1256b2793412a5
13240a85a77624
141048408c9d37
1572c16b8397b
hex3c4f400005d

4144442114141 has 24 divisors (see below), whose sum is σ = 4857543052920. Its totient is φ = 3525529201152.

The previous prime is 4144442114117. The next prime is 4144442114171. The reversal of 4144442114141 is 1414112444414.

It can be written as a sum of positive squares in 4 ways, for example, as 860248900 + 4143581865241 = 29330^2 + 2035579^2 .

It is not a de Polignac number, because 4144442114141 - 230 = 4143368372317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144442114101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26296811 + ... + 26453943.

It is an arithmetic number, because the mean of its divisors is an integer number (202397627205).

Almost surely, 24144442114141 is an apocalyptic number.

It is an amenable number.

4144442114141 is a deficient number, since it is larger than the sum of its proper divisors (713100938779).

4144442114141 is a wasteful number, since it uses less digits than its factorization.

4144442114141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161213 (or 161206 counting only the distinct ones).

The product of its digits is 32768, while the sum is 35.

Adding to 4144442114141 its reverse (1414112444414), we get a palindrome (5558554558555).

The spelling of 4144442114141 in words is "four trillion, one hundred forty-four billion, four hundred forty-two million, one hundred fourteen thousand, one hundred forty-one".

Divisors: 1 7 49 137 959 3929 6713 27503 157133 192521 538273 1099931 3767911 7699517 21527221 26375377 150690547 617375557 1054833829 4321628899 30251402293 84580451309 592063159163 4144442114141