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144112203101041 = 7229835641216607
BaseRepresentation
bin100000110001000110111100…
…101011000111001101110001
3200220020222210012212100101021
4200301012330223013031301
5122342113242443213131
61230300122050535441
742232522510645600
oct4061067453071561
9626228705770337
10144112203101041
1141a1170772038a
12141b5ab1297581
136254951281cc6
1427830d4257a37
15119da50bbee11
hex8311bcac7371

144112203101041 has 48 divisors (see below), whose sum is σ = 175542779543040. Its totient is φ = 117806908826880.

The previous prime is 144112203101017. The next prime is 144112203101051. The reversal of 144112203101041 is 140101302211441.

It is not a de Polignac number, because 144112203101041 - 213 = 144112203092849 is a prime.

It is a super-3 number, since 3×1441122031010413 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144112203100997 and 144112203101015.

It is not an unprimeable number, because it can be changed into a prime (144112203101051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665208160 + ... + 665424766.

It is an arithmetic number, because the mean of its divisors is an integer number (3657141240480).

Almost surely, 2144112203101041 is an apocalyptic number.

It is an amenable number.

144112203101041 is a deficient number, since it is larger than the sum of its proper divisors (31430576441999).

144112203101041 is a wasteful number, since it uses less digits than its factorization.

144112203101041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222374 (or 222367 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 144112203101041 its reverse (140101302211441), we get a palindrome (284213505312482).

The spelling of 144112203101041 in words is "one hundred forty-four trillion, one hundred twelve billion, two hundred three million, one hundred one thousand, forty-one".

Divisors: 1 7 29 49 83 203 581 1421 2407 4067 5641 16849 39487 117943 163589 216607 276409 468203 1145123 1516249 3277421 6281603 8015861 10613743 13577887 17978381 22941947 43971221 95045209 125848667 307798547 521373049 665316463 880940669 1221880087 3649611343 8553160609 25547279401 35434522523 59872124263 101416047221 248041657661 709912330547 1736291603627 2941065369409 4969386313829 20587457585863 144112203101041