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140727768769 = 72535912
BaseRepresentation
bin1000001100010000000…
…1110101011011000001
3111110020120010100211001
42003010001311123001
54301202302100034
6144352140252001
713111236204100
oct2030401653301
9443216110731
10140727768769
115475617a635
1223335541001
13103695a48c3
146b50154037
1539d9a7ba14
hex20c40756c1

140727768769 has 9 divisors (see below), whose sum is σ = 163706785761. Its totient is φ = 120621550980.

The previous prime is 140727768763. The next prime is 140727768781. The reversal of 140727768769 is 967867727041.

The square root of 140727768769 is 375137.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 140727768769 - 23 = 140727768761 is a prime.

It is a super-2 number, since 2×1407277687692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 140727768769.

It is not an unprimeable number, because it can be changed into a prime (140727768761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2599164 + ... + 2652754.

Almost surely, 2140727768769 is an apocalyptic number.

140727768769 is the 375137-th square number.

140727768769 is the 187569-th centered octagonal number.

It is an amenable number.

140727768769 is a deficient number, since it is larger than the sum of its proper divisors (22979016992).

140727768769 is an frugal number, since it uses more digits than its factorization.

140727768769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107196 (or 53598 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 64.

Multiplying 140727768769 by its sum of digits (64), we get a square (9006577201216 = 30010962).

The spelling of 140727768769 in words is "one hundred forty billion, seven hundred twenty-seven million, seven hundred sixty-eight thousand, seven hundred sixty-nine".

Divisors: 1 7 49 53591 375137 2625959 2871995281 20103966967 140727768769