Search a number
-
+
6143454720 = 29345134353
BaseRepresentation
bin1011011100010110…
…11010111000000000
3120212010222211120000
411232023122320000
5100040211022340
62453335320000
7305145334464
oct55613327000
916763884500
106143454720
112672902507
121235520000
1376ba15710
14423cb24a4
1525e522d30
hex16e2dae00

6143454720 has 800 divisors, whose sum is σ = 24705106272. Its totient is φ = 1449197568.

The previous prime is 6143454683. The next prime is 6143454761. The reversal of 6143454720 is 274543416.

6143454720 is a `hidden beast` number, since 6 + 143 + 45 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115914214 + ... + 115914266.

Almost surely, 26143454720 is an apocalyptic number.

6143454720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6143454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12352553136).

6143454720 is an abundant number, since it is smaller than the sum of its proper divisors (18561651552).

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

6143454720 is a wasteful number, since it uses less digits than its factorization.

6143454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6143454720 is about 78380.1934164493. The cubic root of 6143454720 is about 1831.4886033415.

The spelling of 6143454720 in words is "six billion, one hundred forty-three million, four hundred fifty-four thousand, seven hundred twenty".