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114234222432411 = 32172948767378553
BaseRepresentation
bin11001111110010100111010…
…001111111101000010011011
3112222110200111101001212021100
4121332110322033331002123
5104433103141420314121
61042542251033242443
733030102344406264
oct3176247217750233
9488420441055240
10114234222432411
1133442509534a54
121098b435b63423
134b983194b2463
14202cd744a196b
15d317632cc026
hex67e53a3fd09b

114234222432411 has 96 divisors (see below), whose sum is σ = 181378219800960. Its totient is φ = 68959174459392.

The previous prime is 114234222432329. The next prime is 114234222432433.

114234222432411 is a `hidden beast` number, since 1 + 1 + 4 + 234 + 2 + 2 + 2 + 4 + 3 + 2 + 411 = 666.

114234222432411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114234222432411 - 213 = 114234222424219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114234222432461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1454191911 + ... + 1454270463.

It is an arithmetic number, because the mean of its divisors is an integer number (1889356456260).

Almost surely, 2114234222432411 is an apocalyptic number.

114234222432411 is a deficient number, since it is larger than the sum of its proper divisors (67143997368549).

114234222432411 is a wasteful number, since it uses less digits than its factorization.

114234222432411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79765 (or 79762 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 114234222432411 in words is "one hundred fourteen trillion, two hundred thirty-four billion, two hundred twenty-two million, four hundred thirty-two thousand, four hundred eleven".

Divisors: 1 3 9 17 29 51 87 153 261 487 493 673 1461 1479 2019 4383 4437 6057 8279 11441 14123 19517 24837 34323 42369 58551 74511 78553 102969 127107 175653 235659 240091 327751 331789 706977 720273 983253 995367 1335401 2160819 2278037 2949759 2986101 4006203 5571767 6834111 9504779 12018609 16715301 20502333 28514337 38255311 38726629 50145903 52866169 85543011 114765933 116179887 158598507 161581243 344297799 348539661 475795521 484743729 650340287 898724873 1109404019 1454231187 1533118901 1951020861 2696174619 3328212057 4599356703 5853062583 8088523857 9984636171 13798070109 18859868323 25745824303 26063021317 56579604969 77237472909 78189063951 169738814907 231712418727 234567191853 437679013151 746628904787 1313037039453 2239886714361 3939111118359 6719660143083 12692691381379 38078074144137 114234222432411