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144376540 = 225721159227
BaseRepresentation
bin10001001101100…
…00001011011100
3101001200002101021
420212300023130
5243430022130
622154253524
73402115600
oct1046601334
9331602337
10144376540
1174551260
12404272a4
1323bb0409
1415263500
15ca1d37a
hex89b02dc

144376540 has 144 divisors (see below), whose sum is σ = 392999040. Its totient is φ = 44042880.

The previous prime is 144376537. The next prime is 144376549. The reversal of 144376540 is 45673441.

It is a junction number, because it is equal to n+sod(n) for n = 144376496 and 144376505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144376549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635907 + ... + 636133.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 2144376540 is an apocalyptic number.

144376540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144376540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196499520).

144376540 is an abundant number, since it is smaller than the sum of its proper divisors (248622500).

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

144376540 is a wasteful number, since it uses less digits than its factorization.

144376540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 144376540 is about 12015.6789238062. The cubic root of 144376540 is about 524.6047395292.

The spelling of 144376540 in words is "one hundred forty-four million, three hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 59 70 77 98 110 118 140 154 196 220 227 236 245 295 308 385 413 454 490 539 590 649 770 826 908 980 1078 1135 1180 1298 1540 1589 1652 2065 2156 2270 2497 2596 2695 2891 3178 3245 4130 4540 4543 4994 5390 5782 6356 6490 7945 8260 9086 9988 10780 11123 11564 12485 12980 13393 14455 15890 17479 18172 22246 22715 24970 26786 28910 31780 31801 34958 44492 45430 49940 53572 55615 57820 63602 66965 69916 87395 90860 93751 111230 122353 127204 133930 147323 159005 174790 187502 222460 244706 267860 294646 318010 349580 375004 468755 489412 589292 611765 636020 656257 736615 937510 1031261 1223530 1312514 1473230 1875020 2062522 2447060 2625028 2946460 3281285 4125044 5156305 6562570 7218827 10312610 13125140 14437654 20625220 28875308 36094135 72188270 144376540