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114272301636 = 22342291540141
BaseRepresentation
bin110101001101100101…
…0001111001001000100
3101220221211111101110000
41222123022033021010
53333012202123021
6124255044001300
711153526352233
oct1523312171104
9356854441400
10114272301636
114450a80a609
121a191690230
13aa1166bc3c
14576077ab1a
152e8c209b26
hex1a9b28f244

114272301636 has 60 divisors (see below), whose sum is σ = 300035063020. Its totient is φ = 37924407360.

The previous prime is 114272301629. The next prime is 114272301653. The reversal of 114272301636 is 636103272411.

114272301636 is a `hidden beast` number, since 1 + 14 + 2 + 7 + 2 + 3 + 0 + 1 + 636 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87323796036 + 26948505600 = 295506^2 + 164160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114272301636.

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 19 ways as a sum of consecutive naturals, for example, 695875 + ... + 844266.

Almost surely, 2114272301636 is an apocalyptic number.

It is an amenable number.

114272301636 is an abundant number, since it is smaller than the sum of its proper divisors (185762761384).

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

114272301636 is a wasteful number, since it uses less digits than its factorization.

114272301636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540386 (or 1540375 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 114272301636 in words is "one hundred fourteen billion, two hundred seventy-two million, three hundred one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 229 324 458 687 916 1374 2061 2748 4122 6183 8244 12366 18549 24732 37098 74196 1540141 3080282 4620423 6160564 9240846 13861269 18481692 27722538 41583807 55445076 83167614 124751421 166335228 249502842 352692289 499005684 705384578 1058076867 1410769156 2116153734 3174230601 4232307468 6348461202 9522691803 12696922404 19045383606 28568075409 38090767212 57136150818 114272301636