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3114464166 = 2321131975231
BaseRepresentation
bin1011100110100010…
…1111001110100110
322001001102011122200
42321220233032212
522334300323131
61233013435330
7140115336312
oct27150571646
98031364580
103114464166
111359041030
1272b03bb46
133a8320808
142178c0b42
151336542e6
hexb9a2f3a6

3114464166 has 96 divisors (see below), whose sum is σ = 7678734336. Its totient is φ = 903744000.

The previous prime is 3114464137. The next prime is 3114464183. The reversal of 3114464166 is 6614644113.

3114464166 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 4 + 641 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3114464166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592771 + ... + 598001.

It is an arithmetic number, because the mean of its divisors is an integer number (79986816).

Almost surely, 23114464166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114464166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839367168).

3114464166 is an abundant number, since it is smaller than the sum of its proper divisors (4564270170).

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

3114464166 is a wasteful number, since it uses less digits than its factorization.

3114464166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 5375 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3114464166 is about 55807.3845113709. The cubic root of 3114464166 is about 1460.3639809970.

The spelling of 3114464166 in words is "three billion, one hundred fourteen million, four hundred sixty-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 97 99 186 194 198 279 291 341 558 582 682 873 1023 1067 1746 2046 2134 3007 3069 3201 5231 6014 6138 6402 9021 9603 10462 15693 18042 19206 27063 31386 33077 47079 54126 57541 66154 94158 99231 115082 162161 172623 198462 297693 324322 345246 486483 507407 517869 595386 972966 1014814 1035738 1459449 1522221 1783771 2918898 3044442 3567542 4566663 5351313 5581477 9133326 10702626 11162954 15729617 16053939 16744431 31459234 32107878 33488862 47188851 50233293 94377702 100466586 141566553 173025787 283133106 346051574 519077361 1038154722 1557232083 3114464166