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4114340664 = 2337229120641
BaseRepresentation
bin1111010100111011…
…1101101100111000
3101121201212011100120
43311032331230320
531411232400124
61520132333240
7203646214200
oct36516755470
911551764316
104114340664
111821490045
12969a74220
13507516705
142b05d9400
1519130dd79
hexf53bdb38

4114340664 has 96 divisors (see below), whose sum is σ = 12377869200. Its totient is φ = 1134981120.

The previous prime is 4114340653. The next prime is 4114340669. The reversal of 4114340664 is 4660434114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114340669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26217 + ... + 94424.

Almost surely, 24114340664 is an apocalyptic number.

It is an amenable number.

4114340664 is an abundant number, since it is smaller than the sum of its proper divisors (8263528536).

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

4114340664 is a wasteful number, since it uses less digits than its factorization.

4114340664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120693 (or 120682 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 4114340664 is about 64143.1263971441. The cubic root of 4114340664 is about 1602.3845517219.

Adding to 4114340664 its reverse (4660434114), we get a palindrome (8774774778).

The spelling of 4114340664 in words is "four billion, one hundred fourteen million, three hundred forty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2436 2842 4263 4872 5684 8526 11368 17052 34104 120641 241282 361923 482564 723846 844487 965128 1447692 1688974 2533461 2895384 3377948 3498589 5066922 5911409 6755896 6997178 10133844 10495767 11822818 13994356 17734227 20267688 20991534 23645636 24490123 27988712 35468454 41983068 47291272 48980246 70936908 73470369 83966136 97960492 141873816 146940738 171430861 195920984 293881476 342861722 514292583 587762952 685723444 1028585166 1371446888 2057170332 4114340664