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114923397456 = 243671407547
BaseRepresentation
bin110101100000111110…
…1111110000101010000
3101222122012122111000000
41223001331332011100
53340330342204311
6124443423130000
711205623521620
oct1530175760520
9358565574000
10114923397456
114481429752a
121a333743900
13aab651793a
1457c3024880
152ec946c056
hex1ac1f7e150

114923397456 has 140 divisors (see below), whose sum is σ = 381535591072. Its totient is φ = 32835233088.

The previous prime is 114923397431. The next prime is 114923397461. The reversal of 114923397456 is 654793329411.

114923397456 is a `hidden beast` number, since 1 + 1 + 492 + 3 + 39 + 74 + 56 = 666.

114923397456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 622126 + ... + 785421.

Almost surely, 2114923397456 is an apocalyptic number.

114923397456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114923397456 is an abundant number, since it is smaller than the sum of its proper divisors (266612193616).

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

114923397456 is an equidigital number, since it uses as much as digits as its factorization.

114923397456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407580 (or 1407559 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 114923397456 in words is "one hundred fourteen billion, nine hundred twenty-three million, three hundred ninety-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2268 2916 3024 3402 3888 4536 5103 5832 6804 9072 10206 11664 13608 20412 27216 40824 81648 1407547 2815094 4222641 5630188 8445282 9852829 11260376 12667923 16890564 19705658 22520752 25335846 29558487 33781128 38003769 39411316 50671692 59116974 67562256 76007538 78822632 88675461 101343384 114011307 118233948 152015076 157645264 177350922 202686768 228022614 236467896 266026383 304030152 342033921 354701844 456045228 472935792 532052766 608060304 684067842 709403688 798079149 912090456 1026101763 1064105532 1368135684 1418807376 1596158298 1824180912 2052203526 2128211064 2394237447 2736271368 3192316596 4104407052 4256422128 4788474894 5472542736 6384633192 7182712341 8208814104 9576949788 12769266384 14365424682 16417628208 19153899576 28730849364 38307799152 57461698728 114923397456