Search a number
-
+
35031531011040 = 25335137499118619
BaseRepresentation
bin1111111011100011010011…
…11101100011101111100000
311121000222111121222012121000
413331301221331203233200
514042424033414323130
6202301132502432000
710243641665334264
oct775615175435740
9147028447865530
1035031531011040
1110186874a92923
123b19418a32600
1316715c7b27aa5
1489176c6340a4
1540b3b5747260
hex1fdc69f63be0

35031531011040 has 384 divisors, whose sum is σ = 123753873600000. Its totient is φ = 9254891409408.

The previous prime is 35031531010999. The next prime is 35031531011129. The reversal of 35031531011040 is 4011013513053.

It is a happy number.

35031531011040 is a `hidden beast` number, since 3 + 50 + 31 + 531 + 0 + 1 + 10 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 35031531010995 and 35031531011013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295268851 + ... + 295387469.

It is an arithmetic number, because the mean of its divisors is an integer number (322275712500).

Almost surely, 235031531011040 is an apocalyptic number.

35031531011040 is a gapful number since it is divisible by the number (30) 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 35031531011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61876936800000).

35031531011040 is an abundant number, since it is smaller than the sum of its proper divisors (88722342588960).

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

35031531011040 is a wasteful number, since it uses less digits than its factorization.

35031531011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119279 (or 119265 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 35031531011040 its reverse (4011013513053), we get a palindrome (39042544524093).

The spelling of 35031531011040 in words is "thirty-five trillion, thirty-one billion, five hundred thirty-one million, eleven thousand, forty".