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114060804096 = 21432718563
BaseRepresentation
bin110101000111010001…
…1011100000000000000
3101220102002112012100210
41222032203130000000
53332044031212341
6124222050514120
711145350560311
oct1521643340000
9356362465323
10114060804096
1144411394358
121a132895940
13a9a98ba575
145740644608
152e7887dc16
hex1a8e8dc000

114060804096 has 120 divisors (see below), whose sum is σ = 305310847744. Its totient is φ = 37875548160.

The previous prime is 114060804089. The next prime is 114060804097. The reversal of 114060804096 is 690408060411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114060804097) by changing a digit.

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, 13315911 + ... + 13324473.

Almost surely, 2114060804096 is an apocalyptic number.

114060804096 is a gapful number since it is divisible by the number (16) 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 114060804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152655423872).

114060804096 is an abundant number, since it is smaller than the sum of its proper divisors (191250043648).

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

114060804096 is an frugal number, since it uses more digits than its factorization.

114060804096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865 (or 8839 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 114060804096 in words is "one hundred fourteen billion, sixty million, eight hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 512 542 768 813 1024 1084 1536 1626 2048 2168 3072 3252 4096 4336 6144 6504 8192 8563 8672 12288 13008 16384 17126 17344 24576 25689 26016 34252 34688 49152 51378 52032 68504 69376 102756 104064 137008 138752 205512 208128 274016 277504 411024 416256 548032 555008 822048 832512 1096064 1110016 1644096 1665024 2192128 2220032 2320573 3288192 3330048 4384256 4440064 4641146 6576384 6660096 6961719 8768512 9282292 13152768 13320192 13923438 17537024 18564584 26305536 27846876 35074048 37129168 52611072 55693752 70148096 74258336 105222144 111387504 140296192 148516672 210444288 222775008 297033344 420888576 445550016 594066688 891100032 1188133376 1782200064 2376266752 3564400128 4752533504 7128800256 9505067008 14257600512 19010134016 28515201024 38020268032 57030402048 114060804096