Search a number
-
+
4107306465 = 325436593221
BaseRepresentation
bin1111010011010000…
…1000010111100001
3101121020121210020200
43310310020113201
531402432301330
61515321455413
7203532346263
oct36464102741
911536553220
104107306465
111818516159
12967641569
13505c22a72
142ad6c7b33
151908bea60
hexf4d085e1

4107306465 has 48 divisors (see below), whose sum is σ = 7298216640. Its totient is φ = 2135710080.

The previous prime is 4107306457. The next prime is 4107306491. The reversal of 4107306465 is 5646037014.

It is a happy number.

4107306465 is a `hidden beast` number, since 4 + 1 + 0 + 7 + 3 + 0 + 646 + 5 = 666.

It is not a de Polignac number, because 4107306465 - 23 = 4107306457 is a prime.

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, 1273555 + ... + 1276775.

It is an arithmetic number, because the mean of its divisors is an integer number (152046180).

Almost surely, 24107306465 is an apocalyptic number.

4107306465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4107306465 is a deficient number, since it is larger than the sum of its proper divisors (3190910175).

4107306465 is a wasteful number, since it uses less digits than its factorization.

4107306465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4107306465 is about 64088.2708847727. The cubic root of 4107306465 is about 1601.4708434365.

The spelling of 4107306465 in words is "four billion, one hundred seven million, three hundred six thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 43 45 129 215 387 645 659 1935 1977 3221 3295 5931 9663 9885 16105 28337 28989 29655 48315 85011 138503 141685 144945 255033 415509 425055 692515 1246527 1275165 2077545 2122639 6232635 6367917 10613195 19103751 31839585 91273477 95518755 273820431 456367385 821461293 1369102155 4107306465