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4044434122404 = 223213293155918919
BaseRepresentation
bin111010110110101011000…
…011110010011010100100
3112022122101120022222212100
4322312223003302122210
51012231000113404104
612333553135252100
7565125563550354
oct72665303623244
915278346288770
104044434122404
11131a264695485
12553a0897a030
132345086ca460
14dda74788b64
1570311dbb139
hex3adab0f26a4

4044434122404 has 144 divisors (see below), whose sum is σ = 11055095251200. Its totient is φ = 1239333011712.

The previous prime is 4044434122361. The next prime is 4044434122411. The reversal of 4044434122404 is 4042214344404.

It is a happy number.

4044434122404 is a `hidden beast` number, since 404 + 4 + 4 + 3 + 4 + 1 + 2 + 240 + 4 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213766857 + ... + 213785775.

It is an arithmetic number, because the mean of its divisors is an integer number (76771494800).

Almost surely, 24044434122404 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 4044434122404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527547625600).

4044434122404 is an abundant number, since it is smaller than the sum of its proper divisors (7010661128796).

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

4044434122404 is a wasteful number, since it uses less digits than its factorization.

4044434122404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20794 (or 20789 counting only the distinct ones).

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

Adding to 4044434122404 its reverse (4042214344404), we get a palindrome (8086648466808).

The spelling of 4044434122404 in words is "four trillion, forty-four billion, four hundred thirty-four million, one hundred twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 293 468 586 879 1172 1559 1758 2637 3118 3516 3809 4677 5274 6236 7618 9354 10548 11427 14031 15236 18708 18919 20267 22854 28062 34281 37838 40534 45708 56124 56757 60801 68562 75676 81068 113514 121602 137124 170271 182403 227028 243204 245947 340542 364806 456787 491894 681084 729612 737841 913574 983788 1370361 1475682 1827148 2213523 2740722 2951364 4111083 4427046 5481444 5543267 5938231 8222166 8854092 11086534 11876462 16444332 16629801 17814693 22173068 23752924 29494721 33259602 35629386 49889403 53444079 58989442 66519204 71258772 72062471 88484163 99778806 106888158 117978884 144124942 176968326 199557612 213776316 216187413 265452489 288249884 353936652 383431373 432374826 530904978 648562239 766862746 864749652 1061809956 1150294119 1297124478 1533725492 2300588238 2594248956 3450882357 4601176476 6901764714 8641953253 13803529428 17283906506 25925859759 34567813012 51851719518 77777579277 103703439036 112345392289 155555158554 224690784578 311110317108 337036176867 449381569156 674072353734 1011108530601 1348144707468 2022217061202 4044434122404