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6144474240 = 27335734871
BaseRepresentation
bin1011011100011110…
…10011110010000000
3120212012220122002000
411232033103302000
5100040441133430
62453413224000
7305160112032
oct55617236200
916765818060
106144474240
112673439493
121235932000
1376bcb1798
14424099c52
1525e674e60
hex16e3d3c80

6144474240 has 256 divisors, whose sum is σ = 22064313600. Its totient is φ = 1615749120.

The previous prime is 6144474233. The next prime is 6144474247. The reversal of 6144474240 is 424744416.

6144474240 is a `hidden beast` number, since 6 + 144 + 474 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6144474233) and next prime (6144474247).

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

It is a junction number, because it is equal to n+sod(n) for n = 6144474195 and 6144474204.

It is not an unprimeable number, because it can be changed into a prime (6144474247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259005 + ... + 1263875.

It is an arithmetic number, because the mean of its divisors is an integer number (86188725).

Almost surely, 26144474240 is an apocalyptic number.

6144474240 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 6144474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11032156800).

6144474240 is an abundant number, since it is smaller than the sum of its proper divisors (15919839360).

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

6144474240 is a wasteful number, since it uses less digits than its factorization.

6144474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 6144474240 is about 78386.6968305209. The cubic root of 6144474240 is about 1831.5899109426.

The spelling of 6144474240 in words is "six billion, one hundred forty-four million, four hundred seventy-four thousand, two hundred forty".