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4041141343404 = 22311449636710709
BaseRepresentation
bin111010110011100110110…
…010110101010010101100
3112022022220002101111020120
4322303212302311102230
51012202224140442104
612332250311444540
7564651151441524
oct72634662652254
915268802344216
104041141343404
111318924a32920
1255324a086750
13234102475b09
14dd84132c684
15701bcc92cd9
hex3ace6cb54ac

4041141343404 has 96 divisors (see below), whose sum is σ = 10312033536000. Its totient is φ = 1221554933760.

The previous prime is 4041141343391. The next prime is 4041141343409. The reversal of 4041141343404 is 4043431411404.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4041141343409) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 377354002 + ... + 377364710.

It is an arithmetic number, because the mean of its divisors is an integer number (107417016000).

Almost surely, 24041141343404 is an apocalyptic number.

4041141343404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4041141343404 is an abundant number, since it is smaller than the sum of its proper divisors (6270892192596).

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

4041141343404 is a wasteful number, since it uses less digits than its factorization.

4041141343404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17543 (or 17541 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4041141343404 its reverse (4043431411404), we get a palindrome (8084572754808).

The spelling of 4041141343404 in words is "four trillion, forty-one billion, one hundred forty-one million, three hundred forty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 449 898 1347 1796 2694 4939 5388 6367 9878 10709 12734 14817 19101 19756 21418 25468 29634 32127 38202 42836 59268 64254 70037 76404 117799 128508 140074 210111 235598 280148 353397 420222 471196 706794 840444 1413588 2858783 4808341 5717566 8576349 9616682 11435132 14425023 17152698 19233364 28850046 31446613 34305396 52891751 57700092 62893226 68184203 94339839 105783502 125786452 136368406 158675253 188679678 204552609 211567004 272736812 317350506 377359356 409105218 634701012 750026233 818210436 1500052466 2250078699 3000104932 4500157398 9000314796 30614707147 61229414294 91844121441 122458828588 183688242882 336761778617 367376485764 673523557234 1010285335851 1347047114468 2020570671702 4041141343404