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144311213031041 = 7233783291873311
BaseRepresentation
bin100000110100000000010010…
…100101101111111010000001
3200220222000110120011021011102
4200310000102211233322001
5122403343331013443131
61230531353412224145
742253066250310260
oct4064002245577201
9626860416137142
10144311213031041
1141a89050630311
121422859130b055
13626a64842ca34
14278c9b2a545d7
1511a3cec2751cb
hex83401296fe81

144311213031041 has 32 divisors (see below), whose sum is σ = 178878645485568. Its totient is φ = 113732521467840.

The previous prime is 144311213031019. The next prime is 144311213031071. The reversal of 144311213031041 is 140130312113441.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144311213031041 is a prime.

It is a super-3 number, since 3×1443112130310413 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144311213030995 and 144311213031013.

It is not an unprimeable number, because it can be changed into a prime (144311213031071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145442225 + ... + 146431086.

It is an arithmetic number, because the mean of its divisors is an integer number (5589957671424).

Almost surely, 2144311213031041 is an apocalyptic number.

It is an amenable number.

144311213031041 is a deficient number, since it is larger than the sum of its proper divisors (34567432454527).

144311213031041 is a wasteful number, since it uses less digits than its factorization.

144311213031041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291873461.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 144311213031041 its reverse (140130312113441), we get a palindrome (284441525144482).

The spelling of 144311213031041 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred thirteen million, thirty-one thousand, forty-one".

Divisors: 1 7 23 37 83 161 259 581 851 1909 3071 5957 13363 21497 70633 494431 291873311 2043113177 6713086153 10799312507 24225484813 46991603071 75595187549 169578393691 248384187661 557186150699 896342938081 1738689313627 3900303054893 6274400566567 20615887575863 144311213031041