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114616424601 = 33714919012141
BaseRepresentation
bin110101010111110101…
…0111101100010011001
3101221211211000122102000
41222233222331202121
53334213301041401
6124353135431213
711165205351210
oct1525752754231
9357754018360
10114616424601
1144676a90258
121a268985509
13aa67a480b3
145794358077
152eac532186
hex1aafabd899

114616424601 has 64 divisors (see below), whose sum is σ = 195556032000. Its totient is φ = 64990944000.

The previous prime is 114616424567. The next prime is 114616424623. The reversal of 114616424601 is 106424616411.

114616424601 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 1 + 6 + 42 + 4 + 601 = 666.

It is not a de Polignac number, because 114616424601 - 26 = 114616424537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114616424801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53532991 + ... + 53535131.

It is an arithmetic number, because the mean of its divisors is an integer number (3055563000).

Almost surely, 2114616424601 is an apocalyptic number.

It is an amenable number.

114616424601 is a deficient number, since it is larger than the sum of its proper divisors (80939607399).

114616424601 is a wasteful number, since it uses less digits than its factorization.

114616424601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 114616424601 in words is "one hundred fourteen billion, six hundred sixteen million, four hundred twenty-four thousand, six hundred one".

Divisors: 1 3 7 9 21 27 63 149 189 447 1043 1341 1901 2141 3129 4023 5703 6423 9387 13307 14987 17109 19269 28161 39921 44961 51327 57807 119763 134883 283249 319009 359289 404649 849747 957027 1982743 2233063 2549241 2871081 4070041 5948229 6699189 7647723 8613243 12210123 17844687 20097567 28490287 36630369 53534061 60292701 85470861 109891107 256412583 606436109 769237749 1819308327 4245052763 5457924981 12735158289 16373774943 38205474867 114616424601