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144200242320531 = 31993111423545791
BaseRepresentation
bin100000110010011000111100…
…001110000101010010010011
3200220120102000211012002022020
4200302120330032011102103
5122400034044013224111
61230404402104542523
742242060300655105
oct4062307416052223
9626512024162266
10144200242320531
1141a45a85552011
121420ab81481a43
136260041aac417
142787486989575
1511a0ea4d34906
hex83263c385493

144200242320531 has 32 divisors (see below), whose sum is σ = 193991068876800. Its totient is φ = 95275678528800.

The previous prime is 144200242320529. The next prime is 144200242320557. The reversal of 144200242320531 is 135023242002441.

It is a happy number.

It is not a de Polignac number, because 144200242320531 - 21 = 144200242320529 is a prime.

It is a super-2 number, since 2×1442002423205312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144200242320492 and 144200242320501.

It is not an unprimeable number, because it can be changed into a prime (144200242320571) 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, 263931246 + ... + 264477036.

It is an arithmetic number, because the mean of its divisors is an integer number (6062220902400).

Almost surely, 2144200242320531 is an apocalyptic number.

144200242320531 is a deficient number, since it is larger than the sum of its proper divisors (49790826556269).

144200242320531 is a wasteful number, since it uses less digits than its factorization.

144200242320531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547727.

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 144200242320531 its reverse (135023242002441), we get a palindrome (279223484322972).

The spelling of 144200242320531 in words is "one hundred forty-four trillion, two hundred billion, two hundred forty-two million, three hundred twenty thousand, five hundred thirty-one".

Divisors: 1 3 199 311 597 933 1423 4269 61889 185667 283177 442553 545791 849531 1327659 1637373 88068047 108612409 169741001 264204141 325837227 509223003 776660593 2329981779 33778459199 101335377597 154555458007 241541444423 463666374021 724624333269 48066747440177 144200242320531