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5418012240 = 243454120393
BaseRepresentation
bin1010000101111000…
…00100111001010000
3111222120221112120000
411002330010321100
542044002342430
62253342450000
7251156226024
oct50274047120
914876845500
105418012240
112330365873
121072593900
13684638904
143957d4384
1521a9c6e60
hex142f04e50

5418012240 has 200 divisors, whose sum is σ = 19277469288. Its totient is φ = 1409495040.

The previous prime is 5418012239. The next prime is 5418012263. The reversal of 5418012240 is 422108145.

5418012240 is a `hidden beast` number, since 5 + 418 + 0 + 1 + 2 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19289664 + 5398722576 = 4392^2 + 73476^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 255484 + ... + 275876.

Almost surely, 25418012240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5418012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9638734644).

5418012240 is an abundant number, since it is smaller than the sum of its proper divisors (13859457048).

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

5418012240 is a wasteful number, since it uses less digits than its factorization.

5418012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20459 (or 20444 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5418012240 is about 73607.1480224577. The cubic root of 5418012240 is about 1756.3591487658.

The spelling of 5418012240 in words is "five billion, four hundred eighteen million, twelve thousand, two hundred forty".