Search a number
-
+
4060348871040 = 2734571121931157
BaseRepresentation
bin111011000101011111101…
…001101111000110000000
3112101011110200201222210000
4323011133221233012000
51013011043302333130
612345144251440000
7566231141643420
oct73053751570600
915334420658700
104060348871040
111325a910a2700
12556b0a756000
13235b73904c97
14100744288480
1570944172260
hex3b15fa6f180

4060348871040 has 3840 divisors, whose sum is σ = 19918447718400. Its totient is φ = 768592281600.

The previous prime is 4060348871039. The next prime is 4060348871041. The reversal of 4060348871040 is 401788430604.

4060348871040 is a `hidden beast` number, since 4 + 0 + 60 + 3 + 488 + 7 + 104 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4060348871039) and next prime (4060348871041).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4060348871041) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 25862094642 + ... + 25862094798.

It is an arithmetic number, because the mean of its divisors is an integer number (5187095760).

Almost surely, 24060348871040 is an apocalyptic number.

4060348871040 is a gapful number since it is divisible by the number (40) 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 4060348871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9959223859200).

4060348871040 is an abundant number, since it is smaller than the sum of its proper divisors (15858098847360).

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

4060348871040 is a wasteful number, since it uses less digits than its factorization.

4060348871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 4060348871040 in words is "four trillion, sixty billion, three hundred forty-eight million, eight hundred seventy-one thousand, forty".