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140242016 = 25311091297
BaseRepresentation
bin10000101101111…
…10110001100000
3100202220000212202
420112332301200
5241400221031
621525512332
73322015565
oct1026766140
9322800782
10140242016
11721879a2
123ab726a8
1323093555
14148a886c
15c4a32cb
hex85bec60

140242016 has 48 divisors (see below), whose sum is σ = 287844480. Its totient is φ = 67184640.

The previous prime is 140242013. The next prime is 140242033. The reversal of 140242016 is 610242041.

It is a super-3 number, since 3×1402420163 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140242013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107480 + ... + 108776.

It is an arithmetic number, because the mean of its divisors is an integer number (5996760).

Almost surely, 2140242016 is an apocalyptic number.

140242016 is a gapful number since it is divisible by the number (16) 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 140242016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143922240).

140242016 is an abundant number, since it is smaller than the sum of its proper divisors (147602464).

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

140242016 is a wasteful number, since it uses less digits than its factorization.

140242016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 140242016 is about 11842.3821927854. The cubic root of 140242016 is about 519.5484442851.

Adding to 140242016 its reverse (610242041), we get a palindrome (750484057).

The spelling of 140242016 in words is "one hundred forty million, two hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 62 109 124 218 248 436 496 872 992 1297 1744 2594 3379 3488 5188 6758 10376 13516 20752 27032 40207 41504 54064 80414 108128 141373 160828 282746 321656 565492 643312 1130984 1286624 2261968 4382563 4523936 8765126 17530252 35060504 70121008 140242016