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5127241140 = 22335717731093
BaseRepresentation
bin1001100011001101…
…10111110110110100
3111020022210211121000
410301212313312310
541000033204030
62204434323300
7241025554620
oct46146676664
914208724530
105127241140
1121a121517a
12bb1129530
1363931c6c8
14368d44180
152001dc860
hex1319b7db4

5127241140 has 384 divisors, whose sum is σ = 19584875520. Its totient is φ = 1086898176.

The previous prime is 5127241111. The next prime is 5127241177. The reversal of 5127241140 is 411427215.

5127241140 is a `hidden beast` number, since 512 + 7 + 2 + 4 + 1 + 140 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4690434 + ... + 4691526.

It is an arithmetic number, because the mean of its divisors is an integer number (51002280).

Almost surely, 25127241140 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 5127241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792437760).

5127241140 is an abundant number, since it is smaller than the sum of its proper divisors (14457634380).

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

5127241140 is a wasteful number, since it uses less digits than its factorization.

5127241140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5127241140 is about 71604.7564062612. The cubic root of 5127241140 is about 1724.3598986107.

Adding to 5127241140 its reverse (411427215), we get a palindrome (5538668355).

The spelling of 5127241140 in words is "five billion, one hundred twenty-seven million, two hundred forty-one thousand, one hundred forty".