Search a number
-
+
6414465140 = 225793340429
BaseRepresentation
bin1011111100101010…
…01111100001110100
3121120000221120221222
411332111033201310
5101114100341030
62540300125512
7314646024356
oct57625174164
917500846858
106414465140
1127a1886666
1212b0236898
137b2c03405
1444bc9b0d6
152782073e5
hex17e54f874

6414465140 has 24 divisors (see below), whose sum is σ = 13472408040. Its totient is φ = 2565399168.

The previous prime is 6414465131. The next prime is 6414465149. The reversal of 6414465140 is 415644146.

It is an interprime number because it is at equal distance from previous prime (6414465131) and next prime (6414465149).

It can be written as a sum of positive squares in 4 ways, for example, as 1106759824 + 5307705316 = 33268^2 + 72854^2 .

It is a super-2 number, since 2×64144651402 = 82290726064550439200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6414465140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6414465149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138446 + ... + 178874.

It is an arithmetic number, because the mean of its divisors is an integer number (561350335).

Almost surely, 26414465140 is an apocalyptic number.

It is an amenable number.

6414465140 is an abundant number, since it is smaller than the sum of its proper divisors (7057942900).

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

6414465140 is a wasteful number, since it uses less digits than its factorization.

6414465140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48371 (or 48369 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 6414465140 is about 80090.3560985965. The cubic root of 6414465140 is about 1858.0332566119.

The spelling of 6414465140 in words is "six billion, four hundred fourteen million, four hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 7933 15866 31732 39665 40429 79330 80858 158660 161716 202145 404290 808580 320723257 641446514 1282893028 1603616285 3207232570 6414465140