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144331201433124 = 223219211010528411
BaseRepresentation
bin100000110100010010111001…
…111111011100111000100100
3200221000221001120212022001200
4200310102321333130320210
5122404210300031324444
61230544501045122500
742254404502031066
oct4064227177347044
9627027046768050
10144331201433124
1141a96578558682
121423042b3b9430
13626c4b25a66a4
14278d94b59b736
1511a45bbe9e969
hex8344b9fdce24

144331201433124 has 36 divisors (see below), whose sum is σ = 384039161709840. Its totient is φ = 45578274136560.

The previous prime is 144331201433099. The next prime is 144331201433171. The reversal of 144331201433124 is 421334102133441.

144331201433124 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 3 + 1 + 201 + 433 + 12 + 4 = 666.

144331201433124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105505263522 + ... + 105505264889.

It is an arithmetic number, because the mean of its divisors is an integer number (10667754491940).

Almost surely, 2144331201433124 is an apocalyptic number.

It is an amenable number.

144331201433124 is an abundant number, since it is smaller than the sum of its proper divisors (239707960276716).

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

144331201433124 is a wasteful number, since it uses less digits than its factorization.

144331201433124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211010528440 (or 211010528435 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 144331201433124 its reverse (421334102133441), we get a palindrome (565665303566565).

The spelling of 144331201433124 in words is "one hundred forty-four trillion, three hundred thirty-one billion, two hundred one million, four hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 211010528411 422021056822 633031585233 844042113644 1266063170466 1899094755699 2532126340932 3798189511398 4009200039809 7596379022796 8018400079618 12027600119427 16036800159236 24055200238854 36082800358281 48110400477708 72165600716562 144331201433124