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140052405645 = 3451839718797
BaseRepresentation
bin1000001001101111000…
…1100001110110001101
3111101111111022100210000
42002123301201312031
54243311403440040
6144201133034513
713055425543305
oct2023361416615
9441444270700
10140052405645
1154439a28299
1223187325a39
131028c6b0359
146ac8590605
15399a624130
hex209bc61d8d

140052405645 has 40 divisors (see below), whose sum is σ = 251083908504. Its totient is φ = 74686582656.

The previous prime is 140052405641. The next prime is 140052405683. The reversal of 140052405645 is 546504250041.

140052405645 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 5 + 2 + 4 + 0 + 5 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63476786916 + 76575618729 = 251946^2 + 276723^2 .

It is not a de Polignac number, because 140052405645 - 22 = 140052405641 is a prime.

It is a super-3 number, since 3×1400524056453 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140052405641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7441387 + ... + 7460183.

Almost surely, 2140052405645 is an apocalyptic number.

140052405645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140052405645 is a deficient number, since it is larger than the sum of its proper divisors (111031502859).

140052405645 is a wasteful number, since it uses less digits than its factorization.

140052405645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37211 (or 37202 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 140052405645 its reverse (546504250041), we get a palindrome (686556655686).

The spelling of 140052405645 in words is "one hundred forty billion, fifty-two million, four hundred five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 18397 18797 55191 56391 91985 93985 165573 169173 275955 281955 496719 507519 827865 845865 1490157 1522557 2483595 2537595 7450785 7612785 345808409 1037425227 1729042045 3112275681 5187126135 9336827043 15561378405 28010481129 46684135215 140052405645