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120444335031345 = 3513784178773531
BaseRepresentation
bin11011011000101100100001…
…110011100000010000110001
3120210110100212210112100111020
4123120230201303200100301
5111241324444232000340
61104055210314410053
734240546621504263
oct3330544163402061
9523410783470436
10120444335031345
1135417179169886
1211612b04130929
135228b0cc83b70
1421a5773445b33
15ddd0783d99d0
hex6d8b21ce0431

120444335031345 has 32 divisors (see below), whose sum is σ = 207561324749184. Its totient is φ = 59288109619200.

The previous prime is 120444335031341. The next prime is 120444335031401. The reversal of 120444335031345 is 543130533444021.

It is not a de Polignac number, because 120444335031345 - 22 = 120444335031341 is a prime.

It is a super-2 number, since 2×1204443350313452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120444335031297 and 120444335031306.

It is not an unprimeable number, because it can be changed into a prime (120444335031341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37857771 + ... + 40915760.

It is an arithmetic number, because the mean of its divisors is an integer number (6486291398412).

Almost surely, 2120444335031345 is an apocalyptic number.

120444335031345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120444335031345 is a deficient number, since it is larger than the sum of its proper divisors (87116989717839).

120444335031345 is a wasteful number, since it uses less digits than its factorization.

120444335031345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78781393.

The product of its (nonzero) digits is 1036800, while the sum is 42.

Adding to 120444335031345 its reverse (543130533444021), we get a palindrome (663574868475366).

The spelling of 120444335031345 in words is "one hundred twenty trillion, four hundred forty-four billion, three hundred thirty-five million, thirty-one thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 39 65 195 7841 23523 39205 101933 117615 305799 509665 1528995 78773531 236320593 393867655 1024055903 1181602965 3072167709 5120279515 15360838545 617663256571 1852989769713 3088316282855 8029622335423 9264948848565 24088867006269 40148111677115 120444335031345