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4801441344 = 263713127271
BaseRepresentation
bin1000111100011000…
…00010111001000000
3110101121202111021220
410132030002321000
534313132110334
62112235315040
7226661402160
oct43614027100
913347674256
104801441344
112044319a47
12b1bbaba80
135b698a66b
143379765a0
151d17d4449
hex11e302e40

4801441344 has 112 divisors (see below), whose sum is σ = 14630009856. Its totient is φ = 1361318400.

The previous prime is 4801441343. The next prime is 4801441357. The reversal of 4801441344 is 4431441084.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4801441343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162429 + ... + 189699.

It is an arithmetic number, because the mean of its divisors is an integer number (130625088).

Almost surely, 24801441344 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 4801441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315004928).

4801441344 is an abundant number, since it is smaller than the sum of its proper divisors (9828568512).

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

4801441344 is a wasteful number, since it uses less digits than its factorization.

4801441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27424 (or 27414 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 4801441344 is about 69292.4335263238. The cubic root of 4801441344 is about 1687.0341576800.

The spelling of 4801441344 in words is "four billion, eight hundred one million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 131 168 192 224 262 336 393 448 524 672 786 917 1048 1344 1572 1834 2096 2751 3144 3668 4192 5502 6288 7336 8384 11004 12576 14672 22008 25152 27271 29344 44016 54542 58688 81813 88032 109084 163626 176064 190897 218168 327252 381794 436336 572691 654504 763588 872672 1145382 1309008 1527176 1745344 2290764 2618016 3054352 3572501 4581528 5236032 6108704 7145002 9163056 10717503 12217408 14290004 18326112 21435006 25007507 28580008 36652224 42870012 50015014 57160016 75022521 85740024 100030028 114320032 150045042 171480048 200060056 228640064 300090084 342960096 400120112 600180168 685920192 800240224 1200360336 1600480448 2400720672 4801441344