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241044231203040 = 25354570131098821
BaseRepresentation
bin110110110011101001111011…
…110001101010100011100000
31011121110121021220210102021010
4312303221323301222203200
5223043232041141444130
62212354105140300520
7101525604520221156
oct6663517361524340
91147417256712233
10241044231203040
116a89331455a871
122304bba13a1740
13a4664b1686b65
144374862a4d3d6
151cd01a86ee0b0
hexdb3a7bc6a8e0

241044231203040 has 96 divisors (see below), whose sum is σ = 759291680712096. Its totient is φ = 64278262507520.

The previous prime is 241044231203003. The next prime is 241044231203047. The reversal of 241044231203040 is 40302132440142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241044231202989 and 241044231203007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241044231203047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218816830 + ... + 219915650.

It is an arithmetic number, because the mean of its divisors is an integer number (7909288340751).

Almost surely, 2241044231203040 is an apocalyptic number.

241044231203040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241044231203040 is an abundant number, since it is smaller than the sum of its proper divisors (518247449509056).

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

241044231203040 is a wasteful number, since it uses less digits than its factorization.

241044231203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555852 (or 1555844 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 241044231203040 its reverse (40302132440142), we get a palindrome (281346363643182).

The spelling of 241044231203040 in words is "two hundred forty-one trillion, forty-four billion, two hundred thirty-one million, two hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 457013 914026 1098821 1371039 1828052 2197642 2285065 2742078 3296463 3656104 4395284 4570130 5484156 5494105 6592926 6855195 7312208 8790568 9140260 10968312 10988210 13185852 13710390 14624416 16482315 17581136 18280520 21936624 21976420 26371704 27420780 32964630 35162272 36561040 43873248 43952840 52743408 54841560 65929260 73122080 87905680 105486816 109683120 131858520 175811360 219366240 263717040 527434080 502175481673 1004350963346 1506526445019 2008701926692 2510877408365 3013052890038 4017403853384 5021754816730 6026105780076 7532632225095 8034807706768 10043509633460 12052211560152 15065264450190 16069615413536 20087019266920 24104423120304 30130528900380 40174038533840 48208846240608 60261057800760 80348077067680 120522115601520 241044231203040