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114944755904 = 2611715234397
BaseRepresentation
bin110101100001100111…
…1011100100011000000
3101222200200211121021122
41223003033130203000
53340401324142104
6124445505011412
711206303206266
oct1530317344300
9358620747248
10114944755904
1144825355440
121a33a923b68
13aabaa85484
1457c5bc4436
152ecb28a6be
hex1ac33dc8c0

114944755904 has 112 divisors (see below), whose sum is σ = 252873881856. Its totient is φ = 51401548800.

The previous prime is 114944755889. The next prime is 114944755957. The reversal of 114944755904 is 409557449411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26139434 + ... + 26143830.

Almost surely, 2114944755904 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 114944755904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126436940928).

114944755904 is an abundant number, since it is smaller than the sum of its proper divisors (137929125952).

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

114944755904 is a wasteful number, since it uses less digits than its factorization.

114944755904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 114944755904 in words is "one hundred fourteen billion, nine hundred forty-four million, seven hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 142 176 284 352 523 568 704 781 1046 1136 1562 2092 2272 3124 4184 4397 4544 5753 6248 8368 8794 11506 12496 16736 17588 23012 24992 33472 35176 37133 46024 48367 49984 70352 74266 92048 96734 140704 148532 184096 193468 281408 297064 312187 368192 386936 408463 594128 624374 773872 816926 1188256 1248748 1547744 1633852 2299631 2376512 2497496 3095488 3267704 3434057 4599262 4994992 6535408 6868114 9198524 9989984 13070816 13736228 18397048 19979968 25295941 26141632 27472456 36794096 50591882 54944912 73588192 101183764 109889824 147176384 163273801 202367528 219779648 326547602 404735056 653095204 809470112 1306190408 1618940224 1796011811 2612380816 3592023622 5224761632 7184047244 10449523264 14368094488 28736188976 57472377952 114944755904