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140114311668 = 223217380927809
BaseRepresentation
bin1000001001111101110…
…1101011100111110100
3111101122210210111212200
42002133131223213310
54243423230433133
6144211223544500
713060106666322
oct2023735534764
9441583714780
10140114311668
11544709701a1
12231a3bbb130
131029c476a36
146ad28a6d12
1539a0ca1913
hex209f76b9f4

140114311668 has 72 divisors (see below), whose sum is σ = 356678267400. Its totient is φ = 46375735296.

The previous prime is 140114311663. The next prime is 140114311741. The reversal of 140114311668 is 866113411041.

140114311668 is a `hidden beast` number, since 140 + 11 + 431 + 16 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93463495524 + 46650816144 = 305718^2 + 215988^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140114311663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5024548 + ... + 5052356.

It is an arithmetic number, because the mean of its divisors is an integer number (4953864825).

Almost surely, 2140114311668 is an apocalyptic number.

140114311668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

140114311668 is an abundant number, since it is smaller than the sum of its proper divisors (216563955732).

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

140114311668 is a wasteful number, since it uses less digits than its factorization.

140114311668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28801 (or 28796 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 140114311668 in words is "one hundred forty billion, one hundred fourteen million, three hundred eleven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 809 1038 1557 1618 2076 2427 3114 3236 4854 6228 7281 9708 14562 27809 29124 55618 83427 111236 139957 166854 250281 279914 333708 419871 500562 559828 839742 1001124 1259613 1679484 2519226 4810957 5038452 9621914 14432871 19243828 22497481 28865742 43298613 44994962 57731484 67492443 86597226 89989924 134984886 173194452 202477329 269969772 404954658 809909316 3892064213 7784128426 11676192639 15568256852 23352385278 35028577917 46704770556 70057155834 140114311668