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141438562220800 = 2852131699982719
BaseRepresentation
bin100000001010001100111011…
…010000100011101100000000
3200112210101122120212010022001
4200022030323100203230000
5122014312133412031200
61220451551203553344
741535412265305615
oct4012147320435400
9615711576763261
10141438562220800
11410808370947a9
1213a438a838b854
1360bc7a35515b0
1426cd93d15a50c
15115421ccc976a
hex80a33b423b00

141438562220800 has 108 divisors (see below), whose sum is σ = 377011967745280. Its totient is φ = 52223469096960.

The previous prime is 141438562220789. The next prime is 141438562220803. The reversal of 141438562220800 is 8022265834141.

141438562220800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1414385622208002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141438562220803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 849908160 + ... + 850074559.

Almost surely, 2141438562220800 is an apocalyptic number.

141438562220800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141438562220800 is an abundant number, since it is smaller than the sum of its proper divisors (235573405524480).

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

141438562220800 is a wasteful number, since it uses less digits than its factorization.

141438562220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699982758 (or 1699982739 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 141438562220800 in words is "one hundred forty-one trillion, four hundred thirty-eight billion, five hundred sixty-two million, two hundred twenty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 520 640 650 800 832 1040 1280 1300 1600 1664 2080 2600 3200 3328 4160 5200 6400 8320 10400 16640 20800 41600 83200 1699982719 3399965438 6799930876 8499913595 13599861752 16999827190 22099775347 27199723504 33999654380 42499567975 44199550694 54399447008 67999308760 84999135950 88399101388 108798894016 110498876735 135998617520 169998271900 176798202776 217597788032 220997753470 271997235040 339996543800 353596405552 435195576064 441995506940 543994470080 552494383675 679993087600 707192811104 883991013880 1087988940160 1104988767350 1359986175200 1414385622208 1767982027760 2175977880320 2209977534700 2719972350400 2828771244416 3535964055520 4419955069400 5439944700800 5657542488832 7071928111040 8839910138800 10879889401600 14143856222080 17679820277600 28287712444160 35359640555200 70719281110400 141438562220800