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4034403444324 = 223111091132481421
BaseRepresentation
bin111010101101010101001…
…011110010011001100100
3112021200111111211202022210
4322231111023302121210
51012044424240204244
612325213535123420
7564322164314061
oct72552513623144
915250444752283
104034403444324
111315a87627590
12551a89673570
1323359a55b496
14dd3a251bc68
156ee2649d4b9
hex3ab552f2664

4034403444324 has 96 divisors (see below), whose sum is σ = 10455322711680. Its totient is φ = 1200610252800.

The previous prime is 4034403444293. The next prime is 4034403444343. The reversal of 4034403444324 is 4234443044304.

It is a super-2 number, since 2×40344034443242 (a number of 26 digits) contains 22 as substring.

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, 385134 + ... + 2866554.

It is an arithmetic number, because the mean of its divisors is an integer number (108909611580).

Almost surely, 24034403444324 is an apocalyptic number.

4034403444324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034403444324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227661355840).

4034403444324 is an abundant number, since it is smaller than the sum of its proper divisors (6420919267356).

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

4034403444324 is a wasteful number, since it uses less digits than its factorization.

4034403444324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481661 (or 2481659 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 39.

Adding to 4034403444324 its reverse (4234443044304), we get a palindrome (8268846488628).

The spelling of 4034403444324 in words is "four trillion, thirty-four billion, four hundred three million, four hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 113 132 218 226 327 339 436 452 654 678 1199 1243 1308 1356 2398 2486 3597 3729 4796 4972 7194 7458 12317 14388 14916 24634 36951 49268 73902 135487 147804 270974 406461 541948 812922 1625844 2481421 4962842 7444263 9925684 14888526 27295631 29777052 54591262 81886893 109182524 163773786 270474889 280400573 327547572 540949778 560801146 811424667 841201719 1081899556 1121602292 1622849334 1682403438 2975223779 3084406303 3245698668 3364806876 5950447558 6168812606 8925671337 9253218909 11900895116 12337625212 17851342674 18506437818 30563662457 35702685348 37012875636 61127324914 91690987371 122254649828 183381974742 336200287027 366763949484 672400574054 1008600861081 1344801148108 2017201722162 4034403444324