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5104441144 = 2311222923027
BaseRepresentation
bin1001100000011111…
…11001011100111000
3111011201220110212201
410300033321130320
540423214104034
62202301515544
7240331014415
oct46017713470
914151813781
105104441144
11218a362200
12ba5572bb4
1363469899a
14365ccb10c
151ed1d7014
hex1303f9738

5104441144 has 48 divisors (see below), whose sum is σ = 10566397800. Its totient is φ = 2309968320.

The previous prime is 5104441117. The next prime is 5104441171. The reversal of 5104441144 is 4411444015.

It is an interprime number because it is at equal distance from previous prime (5104441117) and next prime (5104441171).

It is a super-3 number, since 3×51044411443 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210159 + ... + 233185.

Almost surely, 25104441144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5104441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283198900).

5104441144 is an abundant number, since it is smaller than the sum of its proper divisors (5461956656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5104441144 is a wasteful number, since it uses less digits than its factorization.

5104441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23284 (or 23269 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 5104441144 is about 71445.3717465309. The cubic root of 5104441144 is about 1721.8001191582.

Adding to 5104441144 its reverse (4411444015), we get a palindrome (9515885159).

The spelling of 5104441144 in words is "five billion, one hundred four million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 229 242 458 484 916 968 1832 2519 5038 10076 20152 23027 27709 46054 55418 92108 110836 184216 221672 253297 506594 1013188 2026376 2786267 5273183 5572534 10546366 11145068 21092732 22290136 42185464 58005013 116010026 232020052 464040104 638055143 1276110286 2552220572 5104441144