Search a number
-
+
4130052045240 = 23351189166721089
BaseRepresentation
bin111100000110011010010…
…010001111100110111000
3112121211101102120010012110
4330012122102033212320
51020131321310421430
612441153020412320
7604246353103632
oct74063222174670
915554342503173
104130052045240
1113525aa7890a0
125685220a70a0
1323c6016c3564
14103c776b5a52
157267369e7b0
hex3c19a48f9b8

4130052045240 has 256 divisors, whose sum is σ = 13677253056000. Its totient is φ = 989334241280.

The previous prime is 4130052045209. The next prime is 4130052045241. The reversal of 4130052045240 is 425402500314.

4130052045240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41300520452402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4130052045198 and 4130052045207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130052045241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195828616 + ... + 195849704.

It is an arithmetic number, because the mean of its divisors is an integer number (53426769750).

Almost surely, 24130052045240 is an apocalyptic number.

4130052045240 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 4130052045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6838626528000).

4130052045240 is an abundant number, since it is smaller than the sum of its proper divisors (9547201010760).

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

4130052045240 is a wasteful number, since it uses less digits than its factorization.

4130052045240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22870 (or 22866 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 4130052045240 its reverse (425402500314), we get a palindrome (4555454545554).

The spelling of 4130052045240 in words is "four trillion, one hundred thirty billion, fifty-two million, forty-five thousand, two hundred forty".