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140864351761 = 72536172
BaseRepresentation
bin1000001100110000101…
…0110110111000010001
3111110121002010111110101
42003030022312320101
54301442233224021
6144413455532401
713114515143200
oct2031412667021
9443532114411
10140864351761
1154816288441
122337322a101
131038b986843
146b64349237
1539e6a5aa91
hex20cc2b6e11

140864351761 has 9 divisors (see below), whose sum is σ = 163865669499. Its totient is φ = 120738621024.

The previous prime is 140864351741. The next prime is 140864351773. The reversal of 140864351761 is 167153468041.

The square root of 140864351761 is 375319.

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

It can be written as a sum of positive squares in only one way, i.e., 138186910225 + 2677441536 = 371735^2 + 51744^2 .

It is not a de Polignac number, because 140864351761 - 215 = 140864318993 is a prime.

It is a super-2 number, since 2×1408643517612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140864351741) 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, 2600425 + ... + 2654041.

It is an arithmetic number, because the mean of its divisors is an integer number (18207296611).

Almost surely, 2140864351761 is an apocalyptic number.

140864351761 is the 375319-th square number.

140864351761 is the 187660-th centered octagonal number.

It is an amenable number.

140864351761 is a deficient number, since it is larger than the sum of its proper divisors (23001317738).

140864351761 is an frugal number, since it uses more digits than its factorization.

140864351761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107248 (or 53624 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 140864351761 in words is "one hundred forty billion, eight hundred sixty-four million, three hundred fifty-one thousand, seven hundred sixty-one".

Divisors: 1 7 49 53617 375319 2627233 2874782689 20123478823 140864351761