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4044001122441 = 3271931610117863
BaseRepresentation
bin111010110110010001010…
…000000001100010001001
3112022121021101120022120200
4322312101100001202021
51012224103241404231
612333442150442413
7565112055243660
oct72662120014211
915277241508520
104044001122441
11131a062230175
12553907963409
13234469aa3567
14dda33073dd7
15702d8d89be6
hex3ad91401889

4044001122441 has 96 divisors (see below), whose sum is σ = 7255447879680. Its totient is φ = 2118147408000.

The previous prime is 4044001122407. The next prime is 4044001122493. The reversal of 4044001122441 is 1442211004404.

It is a happy number.

4044001122441 is a `hidden beast` number, since 4 + 0 + 4 + 400 + 1 + 12 + 244 + 1 = 666.

It is not a de Polignac number, because 4044001122441 - 222 = 4043996928137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4044001122341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226380876 + ... + 226398738.

It is an arithmetic number, because the mean of its divisors is an integer number (75577582080).

Almost surely, 24044001122441 is an apocalyptic number.

It is an amenable number.

4044001122441 is a deficient number, since it is larger than the sum of its proper divisors (3211446757239).

4044001122441 is a wasteful number, since it uses less digits than its factorization.

4044001122441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24027 (or 24024 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4044001122441 its reverse (1442211004404), we get a palindrome (5486212126845).

The spelling of 4044001122441 in words is "four trillion, forty-four billion, one million, one hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 3 7 9 19 21 31 57 63 93 133 171 217 279 399 589 651 1197 1767 1953 4123 5301 6101 12369 17863 18303 37107 42707 53589 54909 115919 125041 128121 160767 189131 339397 347757 375123 384363 553753 567393 811433 1018191 1043271 1125369 1323917 1661259 1702179 2375779 2434299 3054573 3593489 3876271 3971751 4983777 7127337 7302897 10521307 10780467 11628813 11915253 21382011 25154423 31563921 32341401 34886439 73649149 75463269 94691763 108982163 220947447 226389807 326946489 662842341 762875141 980839467 2070661097 2288625423 3378447053 6211983291 6865876269 10135341159 14494627679 18635949873 23649129371 30406023477 43483883037 64190494007 70947388113 130451649111 192571482021 212842164339 449333458049 577714446063 1348000374147 4044001122441