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140045544340 = 22513297742409
BaseRepresentation
bin1000001001101101011…
…1010110101110010100
3111101111000101202211121
42002123113112232110
54243303124404330
6144200330013324
713055313325432
oct2023327265624
9441430352747
10140045544340
1154436071299
1223184b77244
131028b14a300
146ac76c5d52
153999c1b17a
hex209b5d6b94

140045544340 has 72 divisors (see below), whose sum is σ = 318792068280. Its totient is φ = 51654979584.

The previous prime is 140045544323. The next prime is 140045544343. The reversal of 140045544340 is 43445540041.

140045544340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 31347410704 + 108698133636 = 177052^2 + 329694^2 .

It is a super-2 number, since 2×1400455443402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140045544296 and 140045544305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140045544343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3281056 + ... + 3323464.

It is an arithmetic number, because the mean of its divisors is an integer number (4427667615).

Almost surely, 2140045544340 is an apocalyptic number.

140045544340 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 140045544340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159396034140).

140045544340 is an abundant number, since it is smaller than the sum of its proper divisors (178746523940).

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

140045544340 is a wasteful number, since it uses less digits than its factorization.

140045544340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43421 (or 43406 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 140045544340 in words is "one hundred forty billion, forty-five million, five hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 977 1690 1954 3380 3908 4885 9770 12701 19540 25402 42409 50804 63505 84818 127010 165113 169636 212045 254020 330226 424090 551317 660452 825565 848180 1102634 1651130 2205268 2756585 3302260 5513170 7167121 11026340 14334242 28668484 35835605 41433593 71671210 82867186 143342420 165734372 207167965 414335930 538636709 828671860 1077273418 2154546836 2693183545 5386367090 7002277217 10772734180 14004554434 28009108868 35011386085 70022772170 140045544340