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2041212344444 = 2271328349140357
BaseRepresentation
bin11101101101000001101…
…111001001100001111100
321020010201121010212101122
4131231001233021201330
5231420400330010234
64201415304330112
7300321100436540
oct35550157114174
97203647125348
102041212344444
11717745177189
1228b725a73938
1311a640840ac0
1470b1c081a20
153816b13c92e
hex1db41bc987c

2041212344444 has 96 divisors (see below), whose sum is σ = 4421087817216. Its totient is φ = 803000459520.

The previous prime is 2041212344419. The next prime is 2041212344459. The reversal of 2041212344444 is 4444432121402.

It is a super-2 number, since 2×20412123444442 (a number of 25 digits) contains 22 as substring.

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, 50558714 + ... + 50599070.

It is an arithmetic number, because the mean of its divisors is an integer number (46052998096).

Almost surely, 22041212344444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041212344444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210543908608).

2041212344444 is an abundant number, since it is smaller than the sum of its proper divisors (2379875472772).

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

2041212344444 is a wasteful number, since it uses less digits than its factorization.

2041212344444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41155 (or 41153 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 2041212344444 its reverse (4444432121402), we get a palindrome (6485644465846).

The spelling of 2041212344444 in words is "two trillion, forty-one billion, two hundred twelve million, three hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 283 364 491 566 982 1132 1964 1981 3437 3679 3962 6383 6874 7358 7924 12766 13748 14716 25532 25753 40357 44681 51506 80714 89362 103012 138953 161428 178724 277906 282499 524641 555812 564998 972671 1049282 1129996 1806389 1945342 2098564 3612778 3672487 3890684 7225556 7344974 11421031 12644723 14689948 19815287 22842062 25289446 39630574 45684124 50578892 79261148 79947217 138707009 148473403 159894434 257598731 277414018 296946806 319788868 515197462 554828036 593893612 1030394924 1039313821 1803191117 2078627642 3606382234 4157255284 5607726221 7212764468 11215452442 22430904884 39254083547 72900440873 78508167094 145800881746 157016334188 291601763492 510303086111 1020606172222 2041212344444