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2144414003320 = 235201126658553
BaseRepresentation
bin11111001101001001000…
…010001111000001111000
321121000002220021022221201
4133031021002033001320
5240113224441101240
64321044042143544
7310633402164511
oct37151102170170
97530086238851
102144414003320
11757493888a56
122a7727ab1bb4
131272a9750144
1475b0c3dda08
153abab4a1d9a
hex1f34908f078

2144414003320 has 32 divisors (see below), whose sum is σ = 4827330958320. Its totient is φ = 857339032320.

The previous prime is 2144414003293. The next prime is 2144414003341. The reversal of 2144414003320 is 233004144412.

It is a super-3 number, since 3×21444140033203 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 13248837 + ... + 13409716.

Almost surely, 22144414003320 is an apocalyptic number.

2144414003320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144414003320 is an abundant number, since it is smaller than the sum of its proper divisors (2682916955000).

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

2144414003320 is a wasteful number, since it uses less digits than its factorization.

2144414003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26660575 (or 26660571 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2144414003320 its reverse (233004144412), we get a palindrome (2377418147732).

The spelling of 2144414003320 in words is "two trillion, one hundred forty-four billion, four hundred fourteen million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2011 4022 8044 10055 16088 20110 40220 80440 26658553 53317106 106634212 133292765 213268424 266585530 533171060 1066342120 53610350083 107220700166 214441400332 268051750415 428882800664 536103500830 1072207001660 2144414003320