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140530717824 = 27371732331297
BaseRepresentation
bin1000001011100001001…
…0001001010010000000
3111102201211100010201220
42002320102021102000
54300301330432244
6144320420555040
713103324251410
oct2027022112200
9442654303656
10140530717824
1154664a21312
122329b552a80
1310337810a03
146b31cdc640
1539c7606319
hex20b8489480

140530717824 has 256 divisors, whose sum is σ = 431250842880. Its totient is φ = 39717568512.

The previous prime is 140530717819. The next prime is 140530717837. The reversal of 140530717824 is 428717035041.

It is a super-2 number, since 2×1405307178242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108349944 + ... + 108351240.

It is an arithmetic number, because the mean of its divisors is an integer number (1684573605).

Almost surely, 2140530717824 is an apocalyptic number.

140530717824 is a gapful number since it is divisible by the number (14) 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 140530717824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215625421440).

140530717824 is an abundant number, since it is smaller than the sum of its proper divisors (290720125056).

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

140530717824 is a wasteful number, since it uses less digits than its factorization.

140530717824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 140530717824 in words is "one hundred forty billion, five hundred thirty million, seven hundred seventeen thousand, eight hundred twenty-four".