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4350231431040 = 273511832481649
BaseRepresentation
bin111111010011011101111…
…111111100011110000000
3120101212201002220211000010
4333103131333330132000
51032233233221243130
613130245125024520
7626202535024335
oct77233577743600
916355632824003
104350231431040
111427a17261540
125a312b855140
132572c06077b1
141107a381698c
157825d4c60b0
hex3f4ddffc780

4350231431040 has 256 divisors, whose sum is σ = 15309199584000. Its totient is φ = 1041895096320.

The previous prime is 4350231431011. The next prime is 4350231431071. The reversal of 4350231431040 is 401341320534.

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 = 4350231430989 and 4350231431007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512136 + ... + 2993784.

It is an arithmetic number, because the mean of its divisors is an integer number (59801560875).

Almost surely, 24350231431040 is an apocalyptic number.

4350231431040 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 4350231431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7654599792000).

4350231431040 is an abundant number, since it is smaller than the sum of its proper divisors (10958968152960).

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

4350231431040 is a wasteful number, since it uses less digits than its factorization.

4350231431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481765 (or 2481753 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 4350231431040 its reverse (401341320534), we get a palindrome (4751572751574).

The spelling of 4350231431040 in words is "four trillion, three hundred fifty billion, two hundred thirty-one million, four hundred thirty-one thousand, forty".