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140113251010440 = 233255349823147391
BaseRepresentation
bin11111110110111010101000…
…100011100000011110001000
3200101002200210100222221220100
4133312322220203200132020
5121331103414224313230
61213555050001125400
741340563656013061
oct3766725043403610
9611080710887810
10140113251010440
114070a7724a5644
121386aa78329860
1360248135c9406
142685736177568
15112ea01c0b660
hex7f6ea88e0788

140113251010440 has 192 divisors, whose sum is σ = 463972376125440. Its totient is φ = 36657576783360.

The previous prime is 140113251010417. The next prime is 140113251010441. The reversal of 140113251010440 is 44010152311041.

It is a happy number.

140113251010440 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 1 + 3 + 2 + 510 + 104 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (140113251010441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 950549145 + ... + 950696535.

It is an arithmetic number, because the mean of its divisors is an integer number (2416522792320).

Almost surely, 2140113251010440 is an apocalyptic number.

140113251010440 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 140113251010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231986188062720).

140113251010440 is an abundant number, since it is smaller than the sum of its proper divisors (323859125115000).

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

140113251010440 is a wasteful number, since it uses less digits than its factorization.

140113251010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197284 (or 197277 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 140113251010440 in words is "one hundred forty trillion, one hundred thirteen billion, two hundred fifty-one million, ten thousand, four hundred forty".