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42330130111440 = 24335411871255469
BaseRepresentation
bin10011001111111110000000…
…10111100101101111010000
312112212201110112211010202000
421213333000113211233100
521022014101302031230
6230010105431154000
711626152041146563
oct1147770027455720
9175781415733660
1042330130111440
111254011a9a38a6
1248b7a42b15900
131a80938c79c32
14a64b099044da
154d6185633b60
hex267fc05e5bd0

42330130111440 has 320 divisors, whose sum is σ = 149440385203200. Its totient is φ = 11006787686400.

The previous prime is 42330130111433. The next prime is 42330130111463. The reversal of 42330130111440 is 4411103103324.

42330130111440 is a `hidden beast` number, since 4 + 2 + 3 + 301 + 301 + 1 + 14 + 40 = 666.

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

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, 165568026 + ... + 165823494.

It is an arithmetic number, because the mean of its divisors is an integer number (467001203760).

Almost surely, 242330130111440 is an apocalyptic number.

42330130111440 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 42330130111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74720192601600).

42330130111440 is an abundant number, since it is smaller than the sum of its proper divisors (107110255091760).

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

42330130111440 is a wasteful number, since it uses less digits than its factorization.

42330130111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257403 (or 257391 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 42330130111440 its reverse (4411103103324), we get a palindrome (46741233214764).

The spelling of 42330130111440 in words is "forty-two trillion, three hundred thirty billion, one hundred thirty million, one hundred eleven thousand, four hundred forty".