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544144441445 = 511411203720047
BaseRepresentation
bin1111110101100011000…
…10010100000001100101
31221000112100202200121022
413322301202110001211
532403401434111240
61053550531500525
754212256302663
oct7726142240145
91830470680538
10544144441445
1119a852395760
1289560a57745
133c40aa25847
141c49ddc3c33
15e24b3c29b5
hex7eb1894065

544144441445 has 32 divisors (see below), whose sum is σ = 729805579776. Its totient is φ = 386037849600.

The previous prime is 544144441439. The next prime is 544144441457.

544144441445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 544144441445 - 210 = 544144440421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 544144441396 and 544144441405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27133412 + ... + 27153458.

It is an arithmetic number, because the mean of its divisors is an integer number (22806424368).

Almost surely, 2544144441445 is an apocalyptic number.

544144441445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

544144441445 is a deficient number, since it is larger than the sum of its proper divisors (185661138331).

544144441445 is a wasteful number, since it uses less digits than its factorization.

544144441445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32141.

The product of its digits is 1638400, while the sum is 44.

It can be divided in two parts, 544144 and 441445, that added together give a palindrome (985589).

The spelling of 544144441445 in words is "five hundred forty-four billion, one hundred forty-four million, four hundred forty-one thousand, four hundred forty-five".

Divisors: 1 5 11 41 55 205 451 2255 12037 20047 60185 100235 132407 220517 493517 662035 821927 1102585 2467585 4109635 5428687 9041197 27143435 45205985 241305739 1206528695 2654363129 9893535299 13271815645 49467676495 108828888289 544144441445