Search a number
-
+
40995315729 = 3674992
BaseRepresentation
bin100110001011100000…
…101110000000010001
310220211000220211000000
4212023200232000101
51132424300100404
630455531520213
72650621301634
oct461340560021
9126730824000
1040995315729
1116427872525
127b412b9069
133b3433c594
141dac859c1b
1510ee090339
hex98b82e011

40995315729 has 21 divisors (see below), whose sum is σ = 61473053593. Its totient is φ = 27326565972.

The previous prime is 40995315721. The next prime is 40995315749. The reversal of 40995315729 is 92751359904.

The square root of 40995315729 is 202473.

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

It is not a de Polignac number, because 40995315729 - 23 = 40995315721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40995315721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5463022 + ... + 5470520.

Almost surely, 240995315729 is an apocalyptic number.

40995315729 is the 202473-rd square number.

40995315729 is the 101237-th centered octagonal number.

It is an amenable number.

40995315729 is a deficient number, since it is larger than the sum of its proper divisors (20477737864).

40995315729 is an frugal number, since it uses more digits than its factorization.

40995315729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15016 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 40995315729 in words is "forty billion, nine hundred ninety-five million, three hundred fifteen thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 81 243 729 7499 22497 67491 202473 607419 1822257 5466771 56235001 168705003 506115009 1518345027 4555035081 13665105243 40995315729