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4441144240 = 2451322631249
BaseRepresentation
bin1000010001011011…
…00111101110110000
3102110111210111120201
410020231213232300
533043413103430
62012405044544
7215025050251
oct41055475660
912414714521
104441144240
111979a01445
12a3b3b6754
1355a13a600
14301b88b28
151aed648ca
hex108b67bb0

4441144240 has 120 divisors (see below), whose sum is σ = 11232540000. Its totient is φ = 1632264192.

The previous prime is 4441144219. The next prime is 4441144241. The reversal of 4441144240 is 424411444.

It is a junction number, because it is equal to n+sod(n) for n = 4441144199 and 4441144208.

It is not an unprimeable number, because it can be changed into a prime (4441144241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3555136 + ... + 3556384.

It is an arithmetic number, because the mean of its divisors is an integer number (93604500).

Almost surely, 24441144240 is an apocalyptic number.

4441144240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616270000).

4441144240 is an abundant number, since it is smaller than the sum of its proper divisors (6791395760).

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

4441144240 is a wasteful number, since it uses less digits than its factorization.

4441144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 4441144240 is about 66641.9105368386. The cubic root of 4441144240 is about 1643.7343319166.

Adding to 4441144240 its reverse (424411444), we get a palindrome (4865555684).

The spelling of 4441144240 in words is "four billion, four hundred forty-one million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 263 338 520 526 676 845 1040 1052 1249 1315 1352 1690 2104 2498 2630 2704 3380 3419 4208 4996 5260 6245 6760 6838 9992 10520 12490 13520 13676 16237 17095 19984 21040 24980 27352 32474 34190 44447 49960 54704 64948 68380 81185 88894 99920 129896 136760 162370 177788 211081 222235 259792 273520 324740 328487 355576 422162 444470 649480 656974 711152 844324 888940 1055405 1298960 1313948 1642435 1688648 1777880 2110810 2627896 3284870 3377296 3555760 4221620 4270331 5255792 6569740 8443240 8540662 13139480 16886480 17081324 21351655 26278960 34162648 42703310 55514303 68325296 85406620 111028606 170813240 222057212 277571515 341626480 444114424 555143030 888228848 1110286060 2220572120 4441144240