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144269100 = 2236521979
BaseRepresentation
bin10001001100101…
…01111100101100
3101001110122000000
420212111330230
5243413102400
622152104300
73401160423
oct1046257454
9331418000
10144269100
1174488568
1240395090
1323b73541
14152362ba
15c9eb600
hex8995f2c

144269100 has 126 divisors (see below), whose sum is σ = 469618380. Its totient is φ = 38452320.

The previous prime is 144269029. The next prime is 144269117. The reversal of 144269100 is 1962441.

144269100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 71911 + ... + 73889.

It is an arithmetic number, because the mean of its divisors is an integer number (3727130).

Almost surely, 2144269100 is an apocalyptic number.

144269100 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 144269100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234809190).

144269100 is an abundant number, since it is smaller than the sum of its proper divisors (325349280).

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

144269100 is a wasteful number, since it uses less digits than its factorization.

144269100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 144269100 is about 12011.2072665490. The cubic root of 144269100 is about 524.4745763686.

The spelling of 144269100 in words is "one hundred forty-four million, two hundred sixty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 729 810 900 972 1215 1350 1458 1620 1979 2025 2430 2700 2916 3645 3958 4050 4860 5937 6075 7290 7916 8100 9895 11874 12150 14580 17811 18225 19790 23748 24300 29685 35622 36450 39580 49475 53433 59370 71244 72900 89055 98950 106866 118740 148425 160299 178110 197900 213732 267165 296850 320598 356220 445275 480897 534330 593700 641196 801495 890550 961794 1068660 1335825 1442691 1602990 1781100 1923588 2404485 2671650 2885382 3205980 4007475 4808970 5343300 5770764 7213455 8014950 9617940 12022425 14426910 16029900 24044850 28853820 36067275 48089700 72134550 144269100