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40342731025 = 521741392
BaseRepresentation
bin100101100100100111…
…010011100100010001
310212010112222002002011
4211210213103210101
51130110214343100
630311100422521
72625505361422
oct454447234421
9125115862064
1040342731025
1116122468a23
12799a847a41
133a5c091c9c
141d49d05649
1510b1b36bba
hex9649d3911

40342731025 has 45 divisors (see below), whose sum is σ = 53536646631. Its totient is φ = 30157173120.

The previous prime is 40342730969. The next prime is 40342731031. The reversal of 40342731025 is 52013724304.

It is a happy number.

The square root of 40342731025 is 200855.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4396087809 + 35946643216 = 66303^2 + 189596^2 .

It is not a de Polignac number, because 40342731025 - 211 = 40342728977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 290235406 + ... + 290235544.

Almost surely, 240342731025 is an apocalyptic number.

40342731025 is the 200855-th square number.

40342731025 is the 100428-th centered octagonal number.

It is an amenable number.

40342731025 is a deficient number, since it is larger than the sum of its proper divisors (13193915606).

40342731025 is an frugal number, since it uses more digits than its factorization.

40342731025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The spelling of 40342731025 in words is "forty billion, three hundred forty-two million, seven hundred thirty-one thousand, twenty-five".

Divisors: 1 5 17 25 85 139 289 425 695 1445 2363 3475 4913 7225 11815 19321 24565 40171 59075 83521 96605 122825 200855 328457 417605 483025 682907 1004275 1642285 2088025 3414535 5583769 8211425 11609419 17072675 27918845 58047095 94924073 139594225 290235475 474620365 1613709241 2373101825 8068546205 40342731025