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4418954241 = 3131931474093
BaseRepresentation
bin1000001110110001…
…11110010000000001
3102101222001010121220
410013120332100001
533022223013431
62010253305253
7214335330342
oct40730762001
912358033556
104418954241
1119684257a9
12a33a95229
1355566b430
142dcc500c9
151ace2eb96
hex10763e401

4418954241 has 64 divisors (see below), whose sum is σ = 7042990080. Its totient is φ = 2439486720.

The previous prime is 4418954237. The next prime is 4418954249. The reversal of 4418954241 is 1424598144.

4418954241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4418954241 - 22 = 4418954237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4418954193 and 4418954202.

It is not an unprimeable number, because it can be changed into a prime (4418954249) 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 63 ways as a sum of consecutive naturals, for example, 1077591 + ... + 1081683.

It is an arithmetic number, because the mean of its divisors is an integer number (110046720).

Almost surely, 24418954241 is an apocalyptic number.

It is an amenable number.

4418954241 is a deficient number, since it is larger than the sum of its proper divisors (2624035839).

4418954241 is a wasteful number, since it uses less digits than its factorization.

4418954241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206.

The product of its digits is 184320, while the sum is 42.

The square root of 4418954241 is about 66475.2152384631. The cubic root of 4418954241 is about 1640.9921422071.

The spelling of 4418954241 in words is "four billion, four hundred eighteen million, nine hundred fifty-four thousand, two hundred forty-one".

Divisors: 1 3 13 19 31 39 47 57 93 141 247 403 589 611 741 893 1209 1457 1767 1833 2679 4093 4371 7657 11609 12279 18941 22971 27683 34827 53209 56823 77767 83049 126883 159627 192371 233301 359879 380649 577113 1010971 1079637 1649479 2410777 2500823 3032913 3655049 4948437 5963501 7232331 7502469 10965147 17890503 31340101 47515637 77525513 94020303 113306519 142546911 232576539 339919557 1472984747 4418954241