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4314220104 = 2331916358043
BaseRepresentation
bin1000000010010010…
…11100011001001000
3102010122222002101210
410001021130121020
532313420020404
61552032413120
7211624160115
oct40111343110
912118862353
104314220104
1119142a0467
12a049a71a0
13539a5ab7c
142ccd8990c
151a3b42689
hex10125c648

4314220104 has 64 divisors (see below), whose sum is σ = 11423059200. Its totient is φ = 1354003776.

The previous prime is 4314220093. The next prime is 4314220111. The reversal of 4314220104 is 4010224134.

It is a super-2 number, since 2×43142201042 = 37224990211515541632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45307 + ... + 103349.

It is an arithmetic number, because the mean of its divisors is an integer number (178485300).

Almost surely, 24314220104 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 4314220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711529600).

4314220104 is an abundant number, since it is smaller than the sum of its proper divisors (7108839096).

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

4314220104 is a wasteful number, since it uses less digits than its factorization.

4314220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58234 (or 58230 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4314220104 is about 65682.7230251609. The cubic root of 4314220104 is about 1627.9239008029.

Adding to 4314220104 its reverse (4010224134), we get a palindrome (8324444238).

The spelling of 4314220104 in words is "four billion, three hundred fourteen million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 163 228 326 456 489 652 978 1304 1956 3097 3912 6194 9291 12388 18582 24776 37164 58043 74328 116086 174129 232172 348258 464344 696516 1102817 1393032 2205634 3308451 4411268 6616902 8822536 9461009 13233804 18922018 26467608 28383027 37844036 56766054 75688072 113532108 179759171 227064216 359518342 539277513 719036684 1078555026 1438073368 2157110052 4314220104