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140120951328 = 2534193191781
BaseRepresentation
bin1000001001111111011…
…1000000101000100000
3111101200021021211210000
42002133313000220200
54243431430420303
6144212022140000
713060220302041
oct2023767005040
9441607254700
10140120951328
1154474695716
12231a6281600
13102a095cc27
146ad37148c8
1539a1663da3
hex209fdc0a20

140120951328 has 240 divisors, whose sum is σ = 447778679040. Its totient is φ = 42820876800.

The previous prime is 140120951303. The next prime is 140120951357. The reversal of 140120951328 is 823159021041.

140120951328 is a `hidden beast` number, since 14 + 0 + 120 + 9 + 513 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140120951292 and 140120951301.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1480798 + ... + 1572578.

It is an arithmetic number, because the mean of its divisors is an integer number (1865744496).

Almost surely, 2140120951328 is an apocalyptic number.

140120951328 is a gapful number since it is divisible by the number (18) 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 140120951328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223889339520).

140120951328 is an abundant number, since it is smaller than the sum of its proper divisors (307657727712).

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

140120951328 is a wasteful number, since it uses less digits than its factorization.

140120951328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91853 (or 91836 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 140120951328 its reverse (823159021041), we get a palindrome (963279972369).

The spelling of 140120951328 in words is "one hundred forty billion, one hundred twenty million, nine hundred fifty-one thousand, three hundred twenty-eight".