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144401440213404 = 223211364650101549
BaseRepresentation
bin100000110101010100010100…
…100011001000100110011100
3200221021122100122112000220100
4200311110110203020212130
5122411333122143312104
61231041034510021100
742262442205563133
oct4065242443104634
9627248318460810
10144401440213404
114201334150a920
1214241b721a7790
136275cc733593a
1427930d1bac91a
1511a632d52a139
hex8355148c899c

144401440213404 has 36 divisors (see below), whose sum is σ = 398197910892600. Its totient is φ = 43758012185760.

The previous prime is 144401440213403. The next prime is 144401440213409. The reversal of 144401440213404 is 404312044104441.

144401440213404 is a `hidden beast` number, since 1 + 44 + 40 + 1 + 440 + 2 + 134 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1444014402134042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144401440213403) 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 11 ways as a sum of consecutive naturals, for example, 182325050379 + ... + 182325051170.

It is an arithmetic number, because the mean of its divisors is an integer number (11061053080350).

Almost surely, 2144401440213404 is an apocalyptic number.

It is an amenable number.

144401440213404 is an abundant number, since it is smaller than the sum of its proper divisors (253796470679196).

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

144401440213404 is a wasteful number, since it uses less digits than its factorization.

144401440213404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364650101570 (or 364650101565 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 144401440213404 its reverse (404312044104441), we get a palindrome (548713484317845).

The spelling of 144401440213404 in words is "one hundred forty-four trillion, four hundred one billion, four hundred forty million, two hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 364650101549 729300203098 1093950304647 1458600406196 2187900609294 3281850913941 4011151117039 4375801218588 6563701827882 8022302234078 12033453351117 13127403655764 16044604468156 24066906702234 36100360053351 48133813404468 72200720106702 144401440213404