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354965300144 = 247131324918401
BaseRepresentation
bin1010010101001011001…
…01001010001110110000
31020221020010211120200022
411022211211022032300
521303432104101034
6431022510143012
734434241160660
oct5124545121660
91227203746608
10354965300144
111275a3726894
12589651b1a68
132761c49ac50
14132750a01a0
159377e03b2e
hex52a594a3b0

354965300144 has 80 divisors (see below), whose sum is σ = 846565608000. Its totient is φ = 140407603200.

The previous prime is 354965300119. The next prime is 354965300159. The reversal of 354965300144 is 441003569453.

It is a junction number, because it is equal to n+sod(n) for n = 354965300095 and 354965300104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19281344 + ... + 19299744.

It is an arithmetic number, because the mean of its divisors is an integer number (10582070100).

Almost surely, 2354965300144 is an apocalyptic number.

It is an amenable number.

354965300144 is an abundant number, since it is smaller than the sum of its proper divisors (491600307856).

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

354965300144 is a wasteful number, since it uses less digits than its factorization.

354965300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31678 (or 31672 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

Adding to 354965300144 its reverse (441003569453), we get a palindrome (795968869597).

The spelling of 354965300144 in words is "three hundred fifty-four billion, nine hundred sixty-five million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 13249 18401 26498 36802 52996 73604 92743 105992 128807 147208 172237 185486 211984 239213 257614 294416 344474 370972 478426 515228 688948 741944 956852 1030456 1205659 1377896 1483888 1674491 1913704 2060912 2411318 2755792 3348982 3827408 4822636 6697964 9645272 13395928 19290544 26791856 243794849 487589698 975179396 1706563943 1950358792 3169333037 3413127886 3900717584 6338666074 6826255772 12677332148 13652511544 22185331259 25354664296 27305023088 44370662518 50709328592 88741325036 177482650072 354965300144