Search a number
-
+
444363156306344 = 2311193115777225983
BaseRepresentation
bin110010100001001010101110…
…0000101010011100110101000
32011021100200222101112122012202
41211002111130011103212220
5431220421221003300334
64213025341005155332
7162412115154461642
oct14502253405234650
92137320871478182
10444363156306344
111196513a1236330
1241a08681b5bb48
13160c435c07a6c2
147ba3411d0b892
153658d8ad8417e
hex194255c1539a8

444363156306344 has 64 divisors (see below), whose sum is σ = 913646026275840. Its totient is φ = 200934082805760.

The previous prime is 444363156306269. The next prime is 444363156306371. The reversal of 444363156306344 is 443603651363444.

It is a super-2 number, since 2×4443631563063442 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444363156306344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1966243577 + ... + 1966469559.

It is an arithmetic number, because the mean of its divisors is an integer number (14275719160560).

Almost surely, 2444363156306344 is an apocalyptic number.

444363156306344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444363156306344 is an abundant number, since it is smaller than the sum of its proper divisors (469282869969496).

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

444363156306344 is a wasteful number, since it uses less digits than its factorization.

444363156306344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341970 (or 341966 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 56.

The spelling of 444363156306344 in words is "four hundred forty-four trillion, three hundred sixty-three billion, one hundred fifty-six million, three hundred six thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 193 386 772 1544 2123 4246 8492 16984 115777 225983 231554 451966 463108 903932 926216 1273547 1807864 2485813 2547094 4971626 5094188 9943252 10188376 19886504 22344961 43614719 44689922 87229438 89379844 174458876 178759688 245794571 348917752 479761909 491589142 959523818 983178284 1919047636 1966356568 3838095272 26163633791 52327267582 104654535164 209309070328 287799971701 575599943402 1151199886804 2302399773608 5049581321663 10099162643326 20198325286652 40396650573304 55545394538293 111090789076586 222181578153172 444363156306344