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544022220445 = 511174171199877
BaseRepresentation
bin1111110101010100100…
…00000100111010011101
31221000012211210012220121
413322222100010322131
532403124142023240
61053530444114541
754206243401354
oct7725220047235
91830184705817
10544022220445
1119a79a3a7270
1289527b35a51
133c3bb601a22
141c48ba8a99b
15e2407ce04a
hex7eaa404e9d

544022220445 has 64 divisors (see below), whose sum is σ = 783342669312. Its totient is φ = 358177792000.

The previous prime is 544022220431. The next prime is 544022220449.

It is a happy number.

544022220445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 544022220445 - 227 = 543888002717 is a prime.

It is a super-4 number, since 4×5440222204454 (a number of 48 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 544022220445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544022220449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2621847 + ... + 2821723.

It is an arithmetic number, because the mean of its divisors is an integer number (12239729208).

Almost surely, 2544022220445 is an apocalyptic number.

544022220445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

544022220445 is a deficient number, since it is larger than the sum of its proper divisors (239320448867).

544022220445 is a wasteful number, since it uses less digits than its factorization.

544022220445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200022.

The product of its (nonzero) digits is 102400, while the sum is 34.

It can be divided in two parts, 544022 and 220445, that added together give a palindrome (764467).

The spelling of 544022220445 in words is "five hundred forty-four billion, twenty-two million, two hundred twenty thousand, four hundred forty-five".

Divisors: 1 5 11 17 41 55 71 85 187 205 355 451 697 781 935 1207 2255 2911 3485 3905 6035 7667 13277 14555 32021 38335 49487 66385 160105 199877 247435 544357 999385 2198647 2721785 3397909 8194957 10993235 14191267 16989545 37376999 40974785 70956335 90144527 139314269 156103937 186884995 241251539 450722635 581841947 696571345 780519685 1206257695 1532456959 2653766929 2909209735 6400261417 7662284795 9891313099 13268834645 32001307085 49456565495 108804444089 544022220445