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4044122443404 = 2232833469390157
BaseRepresentation
bin111010110110011000011…
…110110100111010001100
3112022121120211212001122200
4322312120132310322030
51012224330321142104
612333502203041500
7565115060406261
oct72663036647214
915277524761580
104044122443404
11131a11476442a
12553940510290
13234488c70804
14dda45215268
15702e4851b39
hex3ad987b4e8c

4044122443404 has 72 divisors (see below), whose sum is σ = 10348816099440. Its totient is φ = 1331412031872.

The previous prime is 4044122443399. The next prime is 4044122443429. The reversal of 4044122443404 is 4043442214404.

It is a happy number.

4044122443404 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 1 + 2 + 244 + 3 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10170294 + ... + 10560450.

Almost surely, 24044122443404 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 4044122443404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174408049720).

4044122443404 is an abundant number, since it is smaller than the sum of its proper divisors (6304693656036).

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

4044122443404 is a wasteful number, since it uses less digits than its factorization.

4044122443404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393719 (or 393714 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4044122443404 its reverse (4043442214404), we get a palindrome (8087564657808).

The spelling of 4044122443404 in words is "four trillion, forty-four billion, one hundred twenty-two million, four hundred forty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 3469 6938 10407 13876 20814 31221 41628 62442 124884 287927 390157 575854 780314 863781 1151708 1170471 1560628 1727562 2340942 2591343 3455124 3511413 4681884 5182686 7022826 10365372 14045652 32383031 64766062 97149093 129532124 194298186 291447279 388596372 582894558 1165789116 1353454633 2706909266 4060363899 5413818532 8120727798 12181091697 16241455596 24362183394 48724366788 112336734539 224673469078 337010203617 449346938156 674020407234 1011030610851 1348040814468 2022061221702 4044122443404