Search a number
-
+
444021110022 = 23726375753101
BaseRepresentation
bin1100111011000011011…
…10000111010100000110
31120110002121001110110010
412131201232013110012
524233323401010042
6535551441211050
744036154106440
oct6354156072406
91513077043403
10444021110022
11161343382966
1272079930a86
1332b427c3a39
14176c281b490
15b83b42559c
hex6761b87506

444021110022 has 64 divisors (see below), whose sum is σ = 1020129352704. Its totient is φ = 126211478400.

The previous prime is 444021109999. The next prime is 444021110023. The reversal of 444021110022 is 220011120444.

It is a super-2 number, since 2×4440211100222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444021110023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8335272 + ... + 8388372.

It is an arithmetic number, because the mean of its divisors is an integer number (15939521136).

Almost surely, 2444021110022 is an apocalyptic number.

444021110022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

444021110022 is an abundant number, since it is smaller than the sum of its proper divisors (576108242682).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444021110022 is a wasteful number, since it uses less digits than its factorization.

444021110022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54133.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 444021110022 its reverse (220011120444), we get a palindrome (664032230466).

The spelling of 444021110022 in words is "four hundred forty-four billion, twenty-one million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 263 526 757 789 1514 1578 1841 2271 3682 4542 5299 5523 10598 11046 15897 31794 53101 106202 159303 199091 318606 371707 398182 597273 743414 1115121 1194546 1393637 2230242 2787274 4180911 8361822 13965563 27931126 40197457 41896689 80394914 83793378 97758941 120592371 195517882 241184742 281382199 293276823 562764398 586553646 844146597 1688293194 10571931191 21143862382 31715793573 63431587146 74003518337 148007036674 222010555011 444021110022