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144441200031344 = 2461149993241831
BaseRepresentation
bin100000110101111001010110…
…011010110011011001110000
3200221102102222120122001112222
4200311321112122303121300
5122413011034202000334
61231111212104540212
742265350405502526
oct4065712632633160
9627372876561488
10144441200031344
1142029194930597
1214249809781668
136279992702528
142794dc44d8316
1511a73a8dbbd2e
hex835e566b3670

144441200031344 has 40 divisors (see below), whose sum is σ = 286351620165600. Its totient is φ = 70559899603200.

The previous prime is 144441200031313. The next prime is 144441200031353. The reversal of 144441200031344 is 443130002144441.

144441200031344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496475492 + ... + 496766339.

It is an arithmetic number, because the mean of its divisors is an integer number (7158790504140).

Almost surely, 2144441200031344 is an apocalyptic number.

It is an amenable number.

144441200031344 is a deficient number, since it is larger than the sum of its proper divisors (141910420134256).

144441200031344 is a wasteful number, since it uses less digits than its factorization.

144441200031344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993242049 (or 993242043 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 144441200031344 its reverse (443130002144441), we get a palindrome (587571202175785).

The spelling of 144441200031344 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 61 122 149 244 298 488 596 976 1192 2384 9089 18178 36356 72712 145424 993241831 1986483662 3972967324 7945934648 15891869296 60587751691 121175503382 147993032819 242351006764 295986065638 484702013528 591972131276 969404027056 1183944262552 2367888525104 9027575001959 18055150003918 36110300007836 72220600015672 144441200031344