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44434244243444 = 221171103170980803
BaseRepresentation
bin10100001101001101001110…
…10110000000111111110100
312211022212112212202220002012
422012212213112000333310
521311002313011242234
6234300450543303352
712234160665161246
oct1206464726007764
9184285485686065
1044434244243444
1113181503527a80
124b977a25aab58
131ba4192493473
14ad88b3998096
15520c83b180ce
hex2869a7580ff4

44434244243444 has 96 divisors (see below), whose sum is σ = 86910868961280. Its totient is φ = 19707801724800.

The previous prime is 44434244243437. The next prime is 44434244243449.

44434244243444 is nontrivially palindromic in base 10.

44434244243444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×444342442434442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44434244243392 and 44434244243401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44434244243449) 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 31 ways as a sum of consecutive naturals, for example, 549867947 + ... + 549948749.

It is an arithmetic number, because the mean of its divisors is an integer number (905321551680).

Almost surely, 244434244243444 is an apocalyptic number.

44434244243444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44434244243444 is a deficient number, since it is larger than the sum of its proper divisors (42476624717836).

44434244243444 is a wasteful number, since it uses less digits than its factorization.

44434244243444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82701 (or 82699 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 50.

It can be divided in two parts, 4443424 and 4243444, that added together give a palindrome (8686868).

The spelling of 44434244243444 in words is "forty-four trillion, four hundred thirty-four billion, two hundred forty-four million, two hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 71 103 142 206 284 412 781 1133 1562 1709 2266 3124 3418 4532 6836 7313 14626 18799 29252 37598 75196 80443 80803 121339 160886 161606 176027 242678 321772 323212 352054 485356 704108 888833 1334729 1777666 1936297 2669458 3555332 3872594 5338916 5737013 7745188 8322709 11474026 12497917 16645418 22948052 24995834 33290836 49991668 63107143 91549799 126214286 137477087 138092327 183099598 252428572 274954174 276184654 366199196 549908348 552369308 590912339 1181824678 1519015597 2363649356 3038031194 6076062388 6500035729 9804555217 13000071458 14223509681 19609110434 26000142916 28447019362 39218220868 56894038724 107850107387 156458606491 215700214774 312917212982 431400429548 625834425964 1009869187351 2019738374702 4039476749404 11108561060861 22217122121722 44434244243444