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104444130112 = 2672914895399
BaseRepresentation
bin110000101000101011…
…0101111001101000000
3100222120220001112200021
41201101112233031000
53202400144130422
6115551520103224
710355136313030
oct1412126571500
9328526045607
10104444130112
1140326a96903
12182aa164b14
139b0645412a
1450ab3858c0
152ab448ddc7
hex18515af340

104444130112 has 112 divisors (see below), whose sum is σ = 245242080000. Its totient is φ = 43181236224.

The previous prime is 104444130107. The next prime is 104444130127. The reversal of 104444130112 is 211031444401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19342389 + ... + 19347787.

Almost surely, 2104444130112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104444130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122621040000).

104444130112 is an abundant number, since it is smaller than the sum of its proper divisors (140797949888).

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

104444130112 is a wasteful number, since it uses less digits than its factorization.

104444130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6936 (or 6926 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 104444130112 its reverse (211031444401), we get a palindrome (315475574513).

The spelling of 104444130112 in words is "one hundred four billion, four hundred forty-four million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1489 1624 1856 2978 3248 5399 5956 6496 10423 10798 11912 12992 20846 21596 23824 37793 41692 43181 43192 47648 75586 83384 86362 86384 95296 151172 156571 166768 172724 172768 302267 302344 313142 333536 345448 345536 604534 604688 626284 667072 690896 1095997 1209068 1209376 1252568 1381792 2191994 2418136 2418752 2505136 2763584 4383988 4836272 5010272 8039111 8767976 9672544 10020544 16078222 17535952 19345088 32156444 35071904 56273777 64312888 70143808 112547554 128625776 225095108 233134219 257251552 450190216 466268438 514503104 900380432 932536876 1631939533 1800760864 1865073752 3263879066 3601521728 3730147504 6527758132 7460295008 13055516264 14920590016 26111032528 52222065056 104444130112