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12044101104 = 2432779151247
BaseRepresentation
bin10110011011110001…
…00110010111110000
31011002101002201200200
423031320212113300
5144131242213404
65311042515200
7604315112250
oct131570462760
934071081620
1012044101104
115120643472
122401665b00
13119c335c59
1482381b960
154a7582839
hex2cde265f0

12044101104 has 120 divisors (see below), whose sum is σ = 39009884160. Its totient is φ = 3397590144.

The previous prime is 12044101103. The next prime is 12044101177. The reversal of 12044101104 is 40110144021.

12044101104 is a `hidden beast` number, since 120 + 441 + 0 + 1 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12044101103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4009 + ... + 155255.

It is an arithmetic number, because the mean of its divisors is an integer number (325082368).

Almost surely, 212044101104 is an apocalyptic number.

12044101104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12044101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504942080).

12044101104 is an abundant number, since it is smaller than the sum of its proper divisors (26965783056).

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

12044101104 is a wasteful number, since it uses less digits than its factorization.

12044101104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151347 (or 151338 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12044101104 its reverse (40110144021), we get a palindrome (52154245125).

The spelling of 12044101104 in words is "twelve billion, forty-four million, one hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 79 84 112 126 144 158 168 237 252 316 336 474 504 553 632 711 948 1008 1106 1264 1422 1659 1896 2212 2844 3318 3792 4424 4977 5688 6636 8848 9954 11376 13272 19908 26544 39816 79632 151247 302494 453741 604988 907482 1058729 1209976 1361223 1814964 2117458 2419952 2722446 3176187 3629928 4234916 5444892 6352374 7259856 8469832 9528561 10889784 11948513 12704748 16939664 19057122 21779568 23897026 25409496 35845539 38114244 47794052 50818992 71691078 76228488 83639591 95588104 107536617 143382156 152456976 167279182 191176208 215073234 250918773 286764312 334558364 430146468 501837546 573528624 669116728 752756319 860292936 1003675092 1338233456 1505512638 1720585872 2007350184 3011025276 4014700368 6022050552 12044101104