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1350423023040 = 2633571323531409
BaseRepresentation
bin10011101001101011011…
…111000000110111000000
311210002200022011102101000
4103221223133000313000
5134111131243214130
62512213100012000
7166364512205430
oct23515337006700
94702608142330
101350423023040
11480790655763
12199879b31000
139a4626a9b50
144950a1542c0
15251da9ca260
hex13a6b7c0dc0

1350423023040 has 1792 divisors, whose sum is σ = 6238168473600. Its totient is φ = 267204427776.

The previous prime is 1350423023011. The next prime is 1350423023077. The reversal of 1350423023040 is 403203240531.

1350423023040 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 423 + 0 + 230 + 4 + 0 = 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 = 1350423022995 and 1350423023013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 958425856 + ... + 958427264.

It is an arithmetic number, because the mean of its divisors is an integer number (3481120800).

Almost surely, 21350423023040 is an apocalyptic number.

1350423023040 is a gapful number since it is divisible by the number (10) 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 1350423023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119084236800).

1350423023040 is an abundant number, since it is smaller than the sum of its proper divisors (4887745450560).

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

1350423023040 is a wasteful number, since it uses less digits than its factorization.

1350423023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 1350423023040 its reverse (403203240531), we get a palindrome (1753626263571).

The spelling of 1350423023040 in words is "one trillion, three hundred fifty billion, four hundred twenty-three million, twenty-three thousand, forty".