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144213000312441 = 32337229949245653
BaseRepresentation
bin100000110010100100110100…
…101001111101011001111001
3200220121121221221121020002010
4200302210310221331121321
5122400241211034444231
61230414312053000133
742243021405054564
oct4062446451753171
9626547857536063
10144213000312441
1141a50432062185
1214211542023049
1362612c5ca9268
142787d371194db
1511a149edd0546
hex832934a7d679

144213000312441 has 32 divisors (see below), whose sum is σ = 206068724870400. Its totient is φ = 89475702776064.

The previous prime is 144213000312421. The next prime is 144213000312467.

It is a happy number.

144213000312441 is nontrivially palindromic in base 10.

144213000312441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144213000312441 - 242 = 139814953801337 is a prime.

It is a super-2 number, since 2×1442130003124412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144213000312399 and 144213000312408.

It is not an unprimeable number, because it can be changed into a prime (144213000312421) 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, 586936971 + ... + 587182623.

It is an arithmetic number, because the mean of its divisors is an integer number (6439647652200).

Almost surely, 2144213000312441 is an apocalyptic number.

It is an amenable number.

144213000312441 is a deficient number, since it is larger than the sum of its proper divisors (61855724557959).

144213000312441 is a wasteful number, since it uses less digits than its factorization.

144213000312441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475665.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 144213000 and 312441, that added together give a palindrome (144525441).

The spelling of 144213000312441 in words is "one hundred forty-four trillion, two hundred thirteen billion, three hundred twelve thousand, four hundred forty-one".

Divisors: 1 3 23 37 69 111 851 2553 229949 245653 689847 736959 5288827 5650019 8508113 9089161 15866481 16950057 25524339 27267483 195686599 209050703 587059797 627152109 56487661697 169462985091 1299216219031 2090043482789 3897648657093 6270130448367 48071000104147 144213000312441