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10044500334240 = 2535263367216803
BaseRepresentation
bin1001001000101010101011…
…0111111101011010100000
31022120020121111110110022210
42102022222313331122200
52304032114041143430
633210214005402120
72054456040060141
oct222125267753240
938506544413283
1010044500334240
113222937640859
121162836a09340
1357b2666a0748
1426a229291ac8
15126431a822b0
hex922aadfd6a0

10044500334240 has 192 divisors, whose sum is σ = 31847168618496. Its totient is φ = 2661065905152.

The previous prime is 10044500334233. The next prime is 10044500334283. The reversal of 10044500334240 is 4243300544001.

10044500334240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10044500334198 and 10044500334207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46221679 + ... + 46438481.

It is an arithmetic number, because the mean of its divisors is an integer number (165870669888).

Almost surely, 210044500334240 is an apocalyptic number.

10044500334240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10044500334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923584309248).

10044500334240 is an abundant number, since it is smaller than the sum of its proper divisors (21802668284256).

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

10044500334240 is a wasteful number, since it uses less digits than its factorization.

10044500334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217451 (or 217443 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 10044500334240 its reverse (4243300544001), we get a palindrome (14287800878241).

The spelling of 10044500334240 in words is "ten trillion, forty-four billion, five hundred million, three hundred thirty-four thousand, two hundred forty".