Search a number
-
+
4424221140200 = 235244101501601
BaseRepresentation
bin100000001100001100000…
…1000010010010011101000
3120122221200120121110221122
41000120120020102103220
51034441301102441300
613224243101154412
7634432216130201
oct100303010222350
916587616543848
104424221140200
111456335549104
125b553a85ba08
132612824ac7a4
141141c22645a8
157a13dec7c85
hex406182124e8

4424221140200 has 48 divisors (see below), whose sum is σ = 10286567902860. Its totient is φ = 1769644800000.

The previous prime is 4424221140187. The next prime is 4424221140271. The reversal of 4424221140200 is 20411224244.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2849080678084 + 1575140462116 = 1687922^2 + 1255046^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4424221140200.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8569400 + ... + 9071000.

Almost surely, 24424221140200 is an apocalyptic number.

4424221140200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424221140200 is an abundant number, since it is smaller than the sum of its proper divisors (5862346762660).

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

4424221140200 is a wasteful number, since it uses less digits than its factorization.

4424221140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545718 (or 545709 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 4424221140200 its reverse (20411224244), we get a palindrome (4444632364444).

The spelling of 4424221140200 in words is "four trillion, four hundred twenty-four billion, two hundred twenty-one million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 44101 88202 176404 220505 352808 441010 501601 882020 1003202 1102525 1764040 2006404 2205050 2508005 4012808 4410100 5016010 8820200 10032020 12540025 20064040 25080050 50160100 100320200 22121105701 44242211402 88484422804 110605528505 176968845608 221211057010 442422114020 553027642525 884844228040 1106055285050 2212110570100 4424221140200