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40975070929 = 1322326772
BaseRepresentation
bin100110001010010011…
…011111011011010001
310220202121211021100121
4212022103133123101
51132404104232204
630453525550241
72650254233122
oct461223373321
9126677737317
1040975070929
11164173a5291
127b36575381
133b300a1900
141da9caa049
1510ec3e1b54
hex98a4df6d1

40975070929 has 27 divisors (see below), whose sum is σ = 46451049393. Its totient is φ = 36125218272.

The previous prime is 40975070887. The next prime is 40975070957. The reversal of 40975070929 is 92907057904.

It is a happy number.

The square root of 40975070929 is 202423.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4003472529 + 36971598400 = 63273^2 + 192280^2 .

It is not a de Polignac number, because 40975070929 - 215 = 40975038161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40975070959) 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 26 ways as a sum of consecutive naturals, for example, 60524139 + ... + 60524815.

Almost surely, 240975070929 is an apocalyptic number.

40975070929 is the 202423-rd square number.

40975070929 is the 101212-nd centered octagonal number.

It is an amenable number.

40975070929 is a deficient number, since it is larger than the sum of its proper divisors (5475978464).

40975070929 is an frugal number, since it uses more digits than its factorization.

40975070929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 52.

The spelling of 40975070929 in words is "forty billion, nine hundred seventy-five million, seventy thousand, nine hundred twenty-nine".

Divisors: 1 13 23 169 299 529 677 3887 6877 8801 15571 89401 114413 202423 358133 458329 2631499 4655729 5958277 10541567 60524477 77457601 137040371 242456041 1781524823 3151928533 40975070929