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114340120444 = 221119612299791
BaseRepresentation
bin110101001111100110…
…0111100011101111100
3101221010120002221100201
41222133030330131330
53333132032323234
6124305505333244
711155311662554
oct1523714743574
9357116087321
10114340120444
1144545020910
121a1b0337224
13aa22725a04
145769792164
152e93154314
hex1a9f33c77c

114340120444 has 96 divisors (see below), whose sum is σ = 234584985600. Its totient is φ = 48213792000.

The previous prime is 114340120441. The next prime is 114340120459. The reversal of 114340120444 is 444021043411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114340120441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11673189 + ... + 11682979.

It is an arithmetic number, because the mean of its divisors is an integer number (2443593600).

Almost surely, 2114340120444 is an apocalyptic number.

It is an amenable number.

114340120444 is an abundant number, since it is smaller than the sum of its proper divisors (120244865156).

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

114340120444 is a wasteful number, since it uses less digits than its factorization.

114340120444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10115 (or 10113 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 114340120444 its reverse (444021043411), we get a palindrome (558361163855).

The spelling of 114340120444 in words is "one hundred fourteen billion, three hundred forty million, one hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 4 11 19 22 38 44 61 76 122 209 229 244 418 458 671 836 916 1159 1342 2318 2519 2684 4351 4636 5038 8702 9791 10076 12749 13969 17404 19582 25498 27938 39164 47861 50996 55876 95722 107701 153659 186029 191444 215402 265411 307318 372058 430804 530822 597251 614636 744116 1061644 1194502 2046319 2242139 2389004 2919521 4092638 4484278 5839042 6569761 8185276 8968556 11347769 11678084 13139522 22695538 24663529 26279044 42600641 45391076 49327058 85201282 98654116 124825459 136770479 170402564 249650918 273540958 468607051 499301836 547081916 937214102 1504475269 1874428204 2598639101 3008950538 5197278202 6017901076 10394556404 28585030111 57170060222 114340120444