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4114246032 = 2432132197781
BaseRepresentation
bin1111010100111010…
…0110100110010000
3101121201200100112200
43311032212212100
531411221333112
61520130323200
7203645341251
oct36516464620
911551610480
104114246032
111821425a36
12969a29500
135074b2610
142b05b2b28
151912e0cdc
hexf53a6990

4114246032 has 60 divisors (see below), whose sum is σ = 12399886044. Its totient is φ = 1265921280.

The previous prime is 4114246027. The next prime is 4114246033. The reversal of 4114246032 is 2306424114.

It is a happy number.

4114246032 is a `hidden beast` number, since 4 + 11 + 42 + 4 + 603 + 2 = 666.

4114246032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1772073216 + 2342172816 = 42096^2 + 48396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4114245987 and 4114246005.

It is not an unprimeable number, because it can be changed into a prime (4114246033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1097019 + ... + 1100762.

Almost surely, 24114246032 is an apocalyptic number.

It is an amenable number.

4114246032 is an abundant number, since it is smaller than the sum of its proper divisors (8285640012).

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

4114246032 is a wasteful number, since it uses less digits than its factorization.

4114246032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197808 (or 2197799 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4114246032 is about 64142.3887300746. The cubic root of 4114246032 is about 1602.3722663984.

The spelling of 4114246032 in words is "four billion, one hundred fourteen million, two hundred forty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2197781 4395562 6593343 8791124 13186686 17582248 19780029 26373372 28571153 35164496 39560058 52746744 57142306 79120116 85713459 105493488 114284612 158240232 171426918 228569224 257140377 316480464 342853836 457138448 514280754 685707672 1028561508 1371415344 2057123016 4114246032