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140198243328 = 210321121319509
BaseRepresentation
bin1000001010010001110…
…1110110110000000000
3111101212122201200110200
42002210131312300000
54244111222241303
6144223422525200
713062146256123
oct2024435666000
9441778650420
10140198243328
1154504287300
1223208136800
13102b3982840
146addab43ba
1539a83303a3
hex20a4776c00

140198243328 has 792 divisors, whose sum is σ = 505406756400. Its totient is φ = 37079285760.

The previous prime is 140198243321. The next prime is 140198243351. The reversal of 140198243328 is 823342891041.

140198243328 is a `hidden beast` number, since 1 + 4 + 0 + 198 + 2 + 433 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is not an unprimeable number, because it can be changed into a prime (140198243321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 275438338 + ... + 275438846.

Almost surely, 2140198243328 is an apocalyptic number.

140198243328 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 140198243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252703378200).

140198243328 is an abundant number, since it is smaller than the sum of its proper divisors (365208513072).

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

140198243328 is a wasteful number, since it uses less digits than its factorization.

140198243328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 140198243328 in words is "one hundred forty billion, one hundred ninety-eight million, two hundred forty-three thousand, three hundred twenty-eight".