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114469948656 = 2433753714223
BaseRepresentation
bin110101010011011110…
…0001100110011110000
3101221110121101220012000
41222212330030303300
53333413301324111
6124330424134000
711161446336510
oct1524674146360
9357417356160
10114469948656
1144601335758
121a227907300
13aa435b123b
14577cb09840
152e9e74bc56
hex1aa6f0ccf0

114469948656 has 160 divisors (see below), whose sum is σ = 382595512320. Its totient is φ = 32088566016.

The previous prime is 114469948651. The next prime is 114469948669. The reversal of 114469948656 is 656849964411.

It is a happy number.

114469948656 is a `hidden beast` number, since 1 + 1 + 4 + 469 + 94 + 86 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 114469948593 and 114469948602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114469948651) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 196840 + ... + 517383.

It is an arithmetic number, because the mean of its divisors is an integer number (2391221952).

Almost surely, 2114469948656 is an apocalyptic number.

114469948656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114469948656 is an abundant number, since it is smaller than the sum of its proper divisors (268125563664).

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

114469948656 is a wasteful number, since it uses less digits than its factorization.

114469948656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714300 (or 714288 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 114469948656 in words is "one hundred fourteen billion, four hundred sixty-nine million, nine hundred forty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 53 54 56 63 72 84 106 108 112 126 144 159 168 189 212 216 252 318 336 371 378 424 432 477 504 636 742 756 848 954 1008 1113 1272 1431 1484 1512 1908 2226 2544 2862 2968 3024 3339 3816 4452 5724 5936 6678 7632 8904 10017 11448 13356 17808 20034 22896 26712 40068 53424 80136 160272 714223 1428446 2142669 2856892 4285338 4999561 5713784 6428007 8570676 9999122 11427568 12856014 14998683 17141352 19284021 19998244 25712028 29997366 34282704 37853819 38568042 39996488 44996049 51424056 59994732 75707638 77136084 79992976 89992098 102848112 113561457 119989464 134988147 151415276 154272168 179984196 227122914 239978928 264976733 269976294 302830552 308544336 340684371 359968392 454245828 529953466 539952588 605661104 681368742 719936784 794930199 908491656 1022053113 1059906932 1079905176 1362737484 1589860398 1816983312 2044106226 2119813864 2159810352 2384790597 2725474968 3179720796 4088212452 4239627728 4769581194 5450949936 6359441592 7154371791 8176424904 9539162388 12718883184 14308743582 16352849808 19078324776 28617487164 38156649552 57234974328 114469948656