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344130221040 = 24351433875921
BaseRepresentation
bin1010000000111111100…
…00100111001111110000
31012220021000201112101020
411000133300213033300
521114234314033130
6422031412535440
733601603421034
oct5003760471760
91186230645336
10344130221040
11122a435a1561
1256840621580
13265b3797b38
14129280801c4
158e41a8ee10
hex501fc273f0

344130221040 has 40 divisors (see below), whose sum is σ = 1066803685968. Its totient is φ = 91768058880.

The previous prime is 344130220921. The next prime is 344130221047. The reversal of 344130221040 is 40122031443.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a self number, because there is not a number n which added to its sum of digits gives 344130221040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344130221047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716937721 + ... + 716938200.

Almost surely, 2344130221040 is an apocalyptic number.

344130221040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344130221040 is an abundant number, since it is smaller than the sum of its proper divisors (722673464928).

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

344130221040 is a wasteful number, since it uses less digits than its factorization.

344130221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433875937 (or 1433875931 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 344130221040 its reverse (40122031443), we get a palindrome (384252252483).

The spelling of 344130221040 in words is "three hundred forty-four billion, one hundred thirty million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1433875921 2867751842 4301627763 5735503684 7169379605 8603255526 11471007368 14338759210 17206511052 21508138815 22942014736 28677518420 34413022104 43016277630 57355036840 68826044208 86032555260 114710073680 172065110520 344130221040