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4440141024 = 253114204679
BaseRepresentation
bin1000010001010011…
…10010110011100000
3102110102220112102120
410020221302303200
533043134003044
62012331344240
7215013401364
oct41051626340
912412815376
104440141024
111979386740
12a3abb2080
13559b78aa7
143019a72a4
151aec17519
hex108a72ce0

4440141024 has 48 divisors (see below), whose sum is σ = 12714952320. Its totient is φ = 1345496960.

The previous prime is 4440141011. The next prime is 4440141047. The reversal of 4440141024 is 4201410444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4440140985 and 4440141003.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2101284 + ... + 2103395.

It is an arithmetic number, because the mean of its divisors is an integer number (264894840).

Almost surely, 24440141024 is an apocalyptic number.

4440141024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4440141024 is an abundant number, since it is smaller than the sum of its proper divisors (8274811296).

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

4440141024 is a wasteful number, since it uses less digits than its factorization.

4440141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204703 (or 4204695 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4440141024 is about 66634.3831966651. The cubic root of 4440141024 is about 1643.6105541486.

Adding to 4440141024 its reverse (4201410444), we get a palindrome (8641551468).

The spelling of 4440141024 in words is "four billion, four hundred forty million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 4204679 8409358 12614037 16818716 25228074 33637432 46251469 50456148 67274864 92502938 100912296 134549728 138754407 185005876 201824592 277508814 370011752 403649184 555017628 740023504 1110035256 1480047008 2220070512 4440141024