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4441342440 = 233552737019
BaseRepresentation
bin1000010001011100…
…11000000111101000
3102110112011120110110
410020232120013220
533043440424230
62012413214320
7215026534143
oct41056300750
912415146413
104441342440
11197a027347
12a3b4913a0
1355a1a98a2
14301bdb05a
151aeda34b0
hex108b981e8

4441342440 has 64 divisors (see below), whose sum is σ = 13328452800. Its totient is φ = 1183964672.

The previous prime is 4441342439. The next prime is 4441342453. The reversal of 4441342440 is 442431444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4441342398 and 4441342407.

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 15 ways as a sum of consecutive naturals, for example, 629251 + ... + 636269.

It is an arithmetic number, because the mean of its divisors is an integer number (208257075).

Almost surely, 24441342440 is an apocalyptic number.

4441342440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4441342440 is an abundant number, since it is smaller than the sum of its proper divisors (8887110360).

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

4441342440 is a wasteful number, since it uses less digits than its factorization.

4441342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12306 (or 12302 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 4441342440 is about 66643.3975724527. The cubic root of 4441342440 is about 1643.7587838206.

Adding to 4441342440 its reverse (442431444), we get a palindrome (4883773884).

The spelling of 4441342440 in words is "four billion, four hundred forty-one million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5273 7019 10546 14038 15819 21057 21092 26365 28076 31638 35095 42114 42184 52730 56152 63276 70190 79095 84228 105285 105460 126552 140380 158190 168456 210570 210920 280760 316380 421140 632760 842280 37011187 74022374 111033561 148044748 185055935 222067122 296089496 370111870 444134244 555167805 740223740 888268488 1110335610 1480447480 2220671220 4441342440