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7140934453248 = 211320
BaseRepresentation
bin110011111101010000011…
…0111001000100000000000
3221021200000000000000000000
41213322200313020200000
51413444113210000443
623104300000000000
71334626004232051
oct147724067104000
927250000000000
107140934453248
1123034a9375aa2
12973b64600000
133ca505987c2b
141a98a19cc728
15c5b434a58d3
hex67ea0dc8800

7140934453248 has 252 divisors, whose sum is σ = 21417573181095. Its totient is φ = 2380311484416.

The previous prime is 7140934453201. The next prime is 7140934453267. The reversal of 7140934453248 is 8423544390417.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7140934453248 is a `hidden beast` number, since 7 + 1 + 4 + 0 + 9 + 344 + 53 + 248 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3570467226624 + 3570467226624 = 1889568^2 + 1889568^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1889568.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7140934453194 and 7140934453203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2380311484415 + 2380311484416 + 2380311484417.

Almost surely, 27140934453248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7140934453248

7140934453248 is an abundant number, since it is smaller than the sum of its proper divisors (14276638727847).

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

7140934453248 is an frugal number, since it uses more digits than its factorization.

7140934453248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 7140934453248 in words is "seven trillion, one hundred forty billion, nine hundred thirty-four million, four hundred fifty-three thousand, two hundred forty-eight".