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4401051160 = 2351123941851
BaseRepresentation
bin1000001100101001…
…01011011000011000
3102100201100120012211
410012110223120120
533003132114120
62004413444504
7214030213642
oct40624533030
912321316184
104401051160
111959307970
12a29aa0734
13551a405ac
142da70d892
151ab59525a
hex10652b618

4401051160 has 64 divisors (see below), whose sum is σ = 10848038400. Its totient is φ = 1593648000.

The previous prime is 4401051131. The next prime is 4401051167. The reversal of 4401051160 is 611501044.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4401051167) 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 15 ways as a sum of consecutive naturals, for example, 84235 + ... + 126085.

It is an arithmetic number, because the mean of its divisors is an integer number (169500600).

Almost surely, 24401051160 is an apocalyptic number.

4401051160 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 4401051160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424019200).

4401051160 is an abundant number, since it is smaller than the sum of its proper divisors (6446987240).

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

4401051160 is a wasteful number, since it uses less digits than its factorization.

4401051160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42112 (or 42108 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 4401051160 is about 66340.4187505626. The cubic root of 4401051160 is about 1638.7730213790.

The spelling of 4401051160 in words is "four billion, four hundred one million, fifty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 239 440 478 956 1195 1912 2390 2629 4780 5258 9560 10516 13145 21032 26290 41851 52580 83702 105160 167404 209255 334808 418510 460361 837020 920722 1674040 1841444 2301805 3682888 4603610 9207220 10002389 18414440 20004778 40009556 50011945 80019112 100023890 110026279 200047780 220052558 400095560 440105116 550131395 880210232 1100262790 2200525580 4401051160