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2144441414424 = 233432077947107
BaseRepresentation
bin11111001101001010101…
…010110011001100011000
321121000011210211221220210
4133031022222303030120
5240113304000230144
64321050501451120
7310634154161331
oct37151252631430
97530153757823
102144441414424
117574a8300361
122a7735110aa0
131272b232992a
1475b11cd7288
153abadab8ab9
hex1f34aab3318

2144441414424 has 32 divisors (see below), whose sum is σ = 5485780365120. Its totient is φ = 698190227616.

The previous prime is 2144441414329. The next prime is 2144441414429. The reversal of 2144441414424 is 4244141444412.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144441414429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1038972522 + ... + 1038974585.

It is an arithmetic number, because the mean of its divisors is an integer number (171430636410).

Almost surely, 22144441414424 is an apocalyptic number.

2144441414424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2144441414424 is an abundant number, since it is smaller than the sum of its proper divisors (3341338950696).

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

2144441414424 is a wasteful number, since it uses less digits than its factorization.

2144441414424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077947159 (or 2077947155 counting only the distinct ones).

The product of its digits is 262144, while the sum is 39.

Adding to 2144441414424 its reverse (4244141444412), we get a palindrome (6388582858836).

The spelling of 2144441414424 in words is "two trillion, one hundred forty-four billion, four hundred forty-one million, four hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 2077947107 4155894214 6233841321 8311788428 12467682642 16623576856 24935365284 49870730568 89351725601 178703451202 268055176803 357406902404 536110353606 714813804808 1072220707212 2144441414424