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4159842540 = 2235717619551
BaseRepresentation
bin1111011111110010…
…0010100011101100
3101201220110220012020
43313330202203230
532004404430130
61524435510140
7205041035550
oct36774424354
911656426166
104159842540
1118451392a7
12981158350
13513a885b9
142b6681860
151952eae10
hexf7f228ec

4159842540 has 192 divisors, whose sum is σ = 14327083008. Its totient is φ = 880128000.

The previous prime is 4159842521. The next prime is 4159842551. The reversal of 4159842540 is 452489514.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4159842492 and 4159842501.

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 63 ways as a sum of consecutive naturals, for example, 430765 + ... + 440315.

It is an arithmetic number, because the mean of its divisors is an integer number (74620224).

Almost surely, 24159842540 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 4159842540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163541504).

4159842540 is an abundant number, since it is smaller than the sum of its proper divisors (10167240468).

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

4159842540 is a wasteful number, since it uses less digits than its factorization.

4159842540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 4159842540 is about 64496.8413180056. The cubic root of 4159842540 is about 1608.2700114015.

The spelling of 4159842540 in words is "four billion, one hundred fifty-nine million, eight hundred forty-two thousand, five hundred forty".