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104434403112 = 23331322860903
BaseRepresentation
bin110000101000011000…
…1101000011100101000
3100222120012202100202000
41201100301220130220
53202340201344422
6115550531411000
710354660531314
oct1412061503450
9328505670660
10104434403112
1140321552866
12182a6a53a60
139b04429900
1450a9d72b44
152ab36bbcac
hex1850c68728

104434403112 has 96 divisors (see below), whose sum is σ = 314127259200. Its totient is φ = 32133651264.

The previous prime is 104434403093. The next prime is 104434403147. The reversal of 104434403112 is 211304434401.

104434403112 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 344 + 0 + 311 + 2 = 666.

It is a super-3 number, since 3×1044344031123 (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1393948 + ... + 1466955.

It is an arithmetic number, because the mean of its divisors is an integer number (3272158950).

Almost surely, 2104434403112 is an apocalyptic number.

104434403112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104434403112 is an abundant number, since it is smaller than the sum of its proper divisors (209692856088).

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

104434403112 is a wasteful number, since it uses less digits than its factorization.

104434403112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860944 (or 2860921 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 104434403112 its reverse (211304434401), we get a palindrome (315738837513).

The spelling of 104434403112 in words is "one hundred four billion, four hundred thirty-four million, four hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2808 3042 4056 4563 6084 9126 12168 18252 36504 2860903 5721806 8582709 11443612 17165418 22887224 25748127 34330836 37191739 51496254 68661672 74383478 77244381 102992508 111575217 148766956 154488762 205985016 223150434 297533912 308977524 334725651 446300868 483492607 617955048 669451302 892601736 966985214 1004176953 1338902604 1450477821 1933970428 2008353906 2677805208 2900955642 3867940856 4016707812 4351433463 5801911284 8033415624 8702866926 11603822568 13054300389 17405733852 26108600778 34811467704 52217201556 104434403112