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104305126144 = 284353178781
BaseRepresentation
bin110000100100100010…
…0011110101100000000
3100222020012111102002011
41201021010132230000
53202104103014034
6115530032502304
710351530641452
oct1411104365400
9328205442064
10104305126144
114026558509a
121826b6aa994
139ab370526b
145096b202d2
152aa7182864
hex184911eb00

104305126144 has 72 divisors (see below), whose sum is σ = 217065662352. Its totient is φ = 49978306560.

The previous prime is 104305126129. The next prime is 104305126157. The reversal of 104305126144 is 441621503401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494034 + ... + 672814.

It is an arithmetic number, because the mean of its divisors is an integer number (3014800866).

Almost surely, 2104305126144 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 104305126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108532831176).

104305126144 is an abundant number, since it is smaller than the sum of its proper divisors (112760536208).

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

104305126144 is an equidigital number, since it uses as much as digits as its factorization.

104305126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178893 (or 178879 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 104305126144 its reverse (441621503401), we get a palindrome (545926629545).

The spelling of 104305126144 in words is "one hundred four billion, three hundred five million, one hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 53 64 86 106 128 172 212 256 344 424 688 848 1376 1696 2279 2752 3392 4558 5504 6784 9116 11008 13568 18232 36464 72928 145856 178781 291712 357562 583424 715124 1430248 2860496 5720992 7687583 9475393 11441984 15375166 18950786 22883968 30750332 37901572 45767936 61500664 75803144 123001328 151606288 246002656 303212576 407441899 492005312 606425152 814883798 984010624 1212850304 1629767596 1968021248 2425700608 3259535192 6519070384 13038140768 26076281536 52152563072 104305126144