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2441384375049 = 323125323172
BaseRepresentation
bin100011100001101101110…
…110010011001100001001
322122101122021102022000100
4203201231312103030021
5304444423400000144
65105320112000013
7341245531534524
oct43415566231411
98571567368010
102441384375049
11861426918734
123351a6830009
131492b59c27a9
1486241025bbb
154378cbb8269
hex2386dd93309

2441384375049 has 81 divisors (see below), whose sum is σ = 3725672182869. Its totient is φ = 1540493098560.

The previous prime is 2441384375011. The next prime is 2441384375083. The reversal of 2441384375049 is 9405734831442.

The square root of 2441384375049 is 1562493.

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

2441384375049 is a `hidden beast` number, since 2 + 44 + 13 + 84 + 3 + 7 + 504 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 238297256649 + 2203087118400 = 488157^2 + 1484280^2 .

It is a de Polignac number, because none of the positive numbers 2k-2441384375049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2441384374986 and 2441384375004.

It is not an unprimeable number, because it can be changed into a prime (2441384375099) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7701527839 + ... + 7701528155.

Almost surely, 22441384375049 is an apocalyptic number.

2441384375049 is the 1562493-rd square number.

2441384375049 is the 781247-th centered octagonal number.

It is an amenable number.

2441384375049 is a deficient number, since it is larger than the sum of its proper divisors (1284287807820).

2441384375049 is an frugal number, since it uses more digits than its factorization.

2441384375049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2441384375049 in words is "two trillion, four hundred forty-one billion, three hundred eighty-four million, three hundred seventy-five thousand, forty-nine".

Divisors: 1 3 9 31 53 93 159 279 317 477 951 961 1643 2809 2853 2883 4929 8427 8649 9827 14787 16801 25281 29481 50403 50933 87079 88443 100489 151209 152799 261237 301467 304637 458397 520831 783711 890453 904401 913911 1562493 2671359 2699449 2741733 3115159 4687479 5325917 8014077 8098347 9345477 15977751 16145761 24295041 27604043 28036431 47933253 48437283 82812129 96569929 145311849 165103427 248436387 282273601 289709787 495310281 846820803 855725333 869129361 1485930843 2540462409 2567175999 5118206237 7701527997 8750481631 15354618711 26251444893 46063856133 78754334679 271264930561 813794791683 2441384375049