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243121512537040 = 2455981508112173
BaseRepresentation
bin110111010001111000100011…
…011001000101101111010000
31011212211012010020002210120211
4313101320203121011233100
5223331300324202141130
62221024251520413504
7102131643503223004
oct6721704331055720
91155735106083524
10243121512537040
1170514288731725
12233266b2777294
13a58734ca32417
144407203186704
151d19236179a2a
hexdd1e23645bd0

243121512537040 has 40 divisors (see below), whose sum is σ = 565352026625448. Its totient is φ = 97232345233920.

The previous prime is 243121512537011. The next prime is 243121512537107. The reversal of 243121512537040 is 40735215121342.

243121512537040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20872690744896 + 222248821792144 = 4568664^2 + 14908012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 243121512536984 and 243121512537002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253577607 + ... + 254534566.

Almost surely, 2243121512537040 is an apocalyptic number.

243121512537040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243121512537040 is an abundant number, since it is smaller than the sum of its proper divisors (322230514088408).

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

243121512537040 is a wasteful number, since it uses less digits than its factorization.

243121512537040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508118167 (or 508118161 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

Adding to 243121512537040 its reverse (40735215121342), we get a palindrome (283856727658382).

The spelling of 243121512537040 in words is "two hundred forty-three trillion, one hundred twenty-one billion, five hundred twelve million, five hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5981 11962 23924 29905 47848 59810 95696 119620 239240 478480 508112173 1016224346 2032448692 2540560865 4064897384 5081121730 8129794768 10162243460 20324486920 40648973840 3039018906713 6078037813426 12156075626852 15195094533565 24312151253704 30390189067130 48624302507408 60780378134260 121560756268520 243121512537040