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140142021510330 = 232574377314234703
BaseRepresentation
bin11111110111010101011011…
…011010010000010010111010
3200101012110001102202210012100
4133313111123122100102322
5121332041330001312310
61214020204512524230
741342632636146360
oct3767253332202272
9611173042683170
10140142021510330
1140720996713a84
1213874567550676
13602744a03b748
142686ca51b3630
15113063791dec0
hex7f755b6904ba

140142021510330 has 384 divisors, whose sum is σ = 427048090140672. Its totient is φ = 31218447665664.

The previous prime is 140142021510319. The next prime is 140142021510343. The reversal of 140142021510330 is 33015120241041.

140142021510330 is a `hidden beast` number, since 1 + 4 + 0 + 142 + 0 + 2 + 1 + 510 + 3 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 140142021510294 and 140142021510303.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29798428759 + ... + 29798433461.

It is an arithmetic number, because the mean of its divisors is an integer number (1112104401408).

Almost surely, 2140142021510330 is an apocalyptic number.

140142021510330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140142021510330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213524045070336).

140142021510330 is an abundant number, since it is smaller than the sum of its proper divisors (286906068630342).

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

140142021510330 is a wasteful number, since it uses less digits than its factorization.

140142021510330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 140142021510330 its reverse (33015120241041), we get a palindrome (173157141751371).

The spelling of 140142021510330 in words is "one hundred forty trillion, one hundred forty-two billion, twenty-one million, five hundred ten thousand, three hundred thirty".