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140028848275680 = 25345713217727739
BaseRepresentation
bin11111110101101100000001…
…110000101000000011100000
3200100210121221012100210020000
4133311230001300220003200
5121323213040124310210
61213452210445420000
741331515253423060
oct3765540160500340
9610717835323200
10140028848275680
11406879a03417a1
1213856641b6a600
1360198822b4900
14268160a7b13a0
15112c711e63ac0
hex7f5b01c280e0

140028848275680 has 2880 divisors, whose sum is σ = 649312630686720. Its totient is φ = 27730809520128.

The previous prime is 140028848275637. The next prime is 140028848275709. The reversal of 140028848275680 is 86572848820041.

140028848275680 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 2 + 8 + 8 + 48 + 27 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 189484232751 + ... + 189484233489.

It is an arithmetic number, because the mean of its divisors is an integer number (225455774544).

Almost surely, 2140028848275680 is an apocalyptic number.

140028848275680 is a gapful number since it is divisible by the number (10) 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 140028848275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324656315343360).

140028848275680 is an abundant number, since it is smaller than the sum of its proper divisors (509283782411040).

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

140028848275680 is a wasteful number, since it uses less digits than its factorization.

140028848275680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 140028848275680 in words is "one hundred forty trillion, twenty-eight billion, eight hundred forty-eight million, two hundred seventy-five thousand, six hundred eighty".