Search a number
-
+
104432044014 = 2352949115091
BaseRepresentation
bin110000101000010100…
…0101000011111101110
3100222120001022111200000
41201100220220133232
53202334100402024
6115550405045130
710354631504424
oct1412050503756
9328501274600
10104432044014
11403201913a1
12182a60b67a6
139b03ab1bac
1450a991b114
152ab33a2cc9
hex1850a287ee

104432044014 has 96 divisors (see below), whose sum is σ = 243251648640. Its totient is φ = 33539637600.

The previous prime is 104432044009. The next prime is 104432044061. The reversal of 104432044014 is 410440234401.

104432044014 is a `hidden beast` number, since 1 + 0 + 443 + 204 + 4 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6912609 + ... + 6927699.

It is an arithmetic number, because the mean of its divisors is an integer number (2533871340).

Almost surely, 2104432044014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104432044014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121625824320).

104432044014 is an abundant number, since it is smaller than the sum of its proper divisors (138819604626).

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

104432044014 is a wasteful number, since it uses less digits than its factorization.

104432044014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15628 (or 15616 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 104432044014 its reverse (410440234401), we get a palindrome (514872278415).

The spelling of 104432044014 in words is "one hundred four billion, four hundred thirty-two million, forty-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 491 522 783 982 1473 1566 2349 2946 4419 4698 7047 8838 13257 14094 14239 15091 26514 28478 30182 39771 42717 45273 79542 85434 90546 119313 128151 135819 238626 256302 271638 384453 407457 437639 768906 814914 875278 1153359 1222371 1312917 2306718 2444742 2625834 3460077 3667113 3938751 6920154 7334226 7409681 7877502 11816253 14819362 22229043 23632506 35448759 44458086 66687129 70897518 106346277 133374258 200061387 212692554 214880749 400122774 429761498 600184161 644642247 1200368322 1289284494 1800552483 1933926741 3601104966 3867853482 5801780223 11603560446 17405340669 34810681338 52216022007 104432044014