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43935094449 = 3210926412
BaseRepresentation
bin101000111010101111…
…000101011010110001
311012101220122001021100
4220322233011122301
51204434341010244
632103345315013
73113516066241
oct507257053261
9135356561240
1043935094449
11176a6240814
128621935a69
1341b23ca20c
1421ab067b21
1512221dab69
hexa3abc56b1

43935094449 has 27 divisors (see below), whose sum is σ = 64149439809. Its totient is φ = 28976071680.

The previous prime is 43935094439. The next prime is 43935094451. The reversal of 43935094449 is 94449053934.

The square root of 43935094449 is 209607.

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

43935094449 is a `hidden beast` number, since 4 + 3 + 93 + 509 + 4 + 4 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16966886049 + 26968208400 = 130257^2 + 164220^2 .

It is not a de Polignac number, because 43935094449 - 25 = 43935094417 is a prime.

It is a super-2 number, since 2×439350944492 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 43935094395 and 43935094404.

It is not an unprimeable number, because it can be changed into a prime (43935094409) 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, 68541169 + ... + 68541809.

Almost surely, 243935094449 is an apocalyptic number.

43935094449 is the 209607-th square number.

43935094449 is the 104804-th centered octagonal number.

It is an amenable number.

43935094449 is a deficient number, since it is larger than the sum of its proper divisors (20214345360).

43935094449 is an frugal number, since it uses more digits than its factorization.

43935094449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 43935094449 in words is "forty-three billion, nine hundred thirty-five million, ninety-four thousand, four hundred forty-nine".

Divisors: 1 3 9 109 327 641 981 1923 5769 11881 35643 69869 106929 209607 410881 628821 1232643 3697929 7615721 22847163 44786029 68541489 134358087 403074261 4881677161 14645031483 43935094449