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4411042160 = 245738920249
BaseRepresentation
bin1000001101110101…
…10010100101110000
3102101102011011021212
410012322302211300
533013211322120
62005411535252
7214211145140
oct40672624560
912342134255
104411042160
111963a11298
12a312ba528
13553b2b025
142dbb90920
151ac3ba6c5
hex106eb2970

4411042160 has 80 divisors (see below), whose sum is σ = 11751480000. Its totient is φ = 1508395008.

The previous prime is 4411042157. The next prime is 4411042177. The reversal of 4411042160 is 612401144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207716 + ... + 227964.

It is an arithmetic number, because the mean of its divisors is an integer number (146893500).

Almost surely, 24411042160 is an apocalyptic number.

4411042160 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 4411042160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875740000).

4411042160 is an abundant number, since it is smaller than the sum of its proper divisors (7340437840).

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

4411042160 is a wasteful number, since it uses less digits than its factorization.

4411042160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20658 (or 20652 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4411042160 is about 66415.6770649822. The cubic root of 4411042160 is about 1640.0121652875.

The spelling of 4411042160 in words is "four billion, four hundred eleven million, forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 389 560 778 1556 1945 2723 3112 3890 5446 6224 7780 10892 13615 15560 20249 21784 27230 31120 40498 43568 54460 80996 101245 108920 141743 161992 202490 217840 283486 323984 404980 566972 708715 809960 1133944 1417430 1619920 2267888 2834860 5669720 7876861 11339440 15753722 31507444 39384305 55138027 63014888 78768610 110276054 126029776 157537220 220552108 275690135 315074440 441104216 551380270 630148880 882208432 1102760540 2205521080 4411042160