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2144344400120 = 235138231501001
BaseRepresentation
bin11111001101000100111…
…000101110000011111000
321120222221001022010022102
4133031010320232003320
5240113104131300440
64321033114242532
7310631565442646
oct37150470560370
97528831263272
102144344400120
1175745856904a
122a7708726448
131272981c0110
1475b03082196
153aba5303b15
hex1f344e2e0f8

2144344400120 has 64 divisors (see below), whose sum is σ = 5196553064640. Its totient is φ = 791660160000.

The previous prime is 2144344400111. The next prime is 2144344400141. The reversal of 2144344400120 is 210044434412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4029620 + ... + 4530620.

It is an arithmetic number, because the mean of its divisors is an integer number (81196141635).

Almost surely, 22144344400120 is an apocalyptic number.

2144344400120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144344400120 is an abundant number, since it is smaller than the sum of its proper divisors (3052208664520).

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

2144344400120 is a wasteful number, since it uses less digits than its factorization.

2144344400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509256 (or 509252 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 2144344400120 its reverse (210044434412), we get a palindrome (2354388834532).

The spelling of 2144344400120 in words is "two trillion, one hundred forty-four billion, three hundred forty-four million, four hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 8231 16462 32924 41155 65848 82310 107003 164620 214006 329240 428012 501001 535015 856024 1002002 1070030 2004004 2140060 2505005 4008008 4280120 5010010 6513013 10020020 13026026 20040040 26052052 32565065 52104104 65130130 130260260 260520520 4123739231 8247478462 16494956924 20618696155 32989913848 41237392310 53608610003 82474784620 107217220006 164949569240 214434440012 268043050015 428868880024 536086100030 1072172200060 2144344400120