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114863427 = 3874161
BaseRepresentation
bin1101101100010…
…10110101000011
322000010200000000
412312022311003
5213401112202
615221531043
72563215540
oct666126503
9260120000
10114863427
1159923658
1232573a83
131aa48c33
141137dbc7
15a13d91c
hex6d8ad43

114863427 has 72 divisors (see below), whose sum is σ = 205007712. Its totient is φ = 62985600.

The previous prime is 114863381. The next prime is 114863443. The reversal of 114863427 is 724368411.

114863427 is a `hidden beast` number, since 1 + 14 + 8 + 634 + 2 + 7 = 666.

It is not a de Polignac number, because 114863427 - 212 = 114859331 is a prime.

Its product of digits (32256) is a multiple of the sum of its prime divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 114863391 and 114863400.

It is not an unprimeable number, because it can be changed into a prime (114863467) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1882977 + ... + 1883037.

Almost surely, 2114863427 is an apocalyptic number.

114863427 is a deficient number, since it is larger than the sum of its proper divisors (90144285).

114863427 is an frugal number, since it uses more digits than its factorization.

114863427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 114863427 is about 10717.4356541105. The cubic root of 114863427 is about 486.1018305140.

The spelling of 114863427 in words is "one hundred fourteen million, eight hundred sixty-three thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 21 27 41 61 63 81 123 183 189 243 287 369 427 549 567 729 861 1107 1281 1647 1701 2187 2501 2583 3321 3843 4941 5103 6561 7503 7749 9963 11529 14823 15309 17507 22509 23247 29889 34587 44469 45927 52521 67527 69741 89667 103761 133407 157563 202581 209223 269001 311283 400221 472689 607743 627669 933849 1418067 1823229 1883007 2801547 4254201 5469687 12762603 16409061 38287809 114863427