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3002344223040 = 2632547167132817
BaseRepresentation
bin101011101100001001101…
…010010011000101000000
3101122000120112100010220200
4223230021222103011000
5343142300110114130
610215131412205200
7426624613552431
oct53541152230500
911560515303820
103002344223040
11a58318052198
12405a5b009800
1318a1733b9b26
14a5458397488
155317044d760
hex2bb09a93140

3002344223040 has 336 divisors, whose sum is σ = 10609765350912. Its totient is φ = 778892525568.

The previous prime is 3002344223009. The next prime is 3002344223059. The reversal of 3002344223040 is 403224432003.

3002344223040 is a `hidden beast` number, since 3 + 0 + 0 + 234 + 422 + 3 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×30023442230402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3002344222995 and 3002344223013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22538712 + ... + 22671528.

It is an arithmetic number, because the mean of its divisors is an integer number (31576682592).

Almost surely, 23002344223040 is an apocalyptic number.

3002344223040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002344223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304882675456).

3002344223040 is an abundant number, since it is smaller than the sum of its proper divisors (7607421127872).

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

3002344223040 is a wasteful number, since it uses less digits than its factorization.

3002344223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133054 (or 133041 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 3002344223040 its reverse (403224432003), we get a palindrome (3405568655043).

The spelling of 3002344223040 in words is "three trillion, two billion, three hundred forty-four million, two hundred twenty-three thousand, forty".