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144426150 = 2325211163179
BaseRepresentation
bin10001001101111…
…00010010100110
3101001202121102200
420212330102212
5243433114100
622155315330
73402413331
oct1046742246
9331677380
10144426150
1174585560
124044bb46
1323bc9b7b
1415277618
15ca2ce00
hex89bc4a6

144426150 has 144 divisors (see below), whose sum is σ = 428276160. Its totient is φ = 34603200.

The previous prime is 144426127. The next prime is 144426157. The reversal of 144426150 is 51624441.

144426150 is a `hidden beast` number, since 1 + 4 + 4 + 42 + 615 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144426157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 806761 + ... + 806939.

It is an arithmetic number, because the mean of its divisors is an integer number (2974140).

Almost surely, 2144426150 is an apocalyptic number.

144426150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144426150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214138080).

144426150 is an abundant number, since it is smaller than the sum of its proper divisors (283850010).

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

144426150 is a wasteful number, since it uses less digits than its factorization.

144426150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 144426150 is about 12017.7431325520. The cubic root of 144426150 is about 524.6648200676.

The spelling of 144426150 in words is "one hundred forty-four million, four hundred twenty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 163 165 179 198 225 275 326 330 358 450 489 495 537 550 815 825 895 978 990 1074 1467 1611 1630 1650 1790 1793 1969 2445 2475 2685 2934 3222 3586 3938 4075 4475 4890 4950 5370 5379 5907 7335 8055 8150 8950 8965 9845 10758 11814 12225 13425 14670 16110 16137 17721 17930 19690 24450 26850 26895 29177 29535 32274 35442 36675 40275 44825 49225 53790 58354 59070 73350 80550 80685 87531 88605 89650 98450 134475 145885 147675 161370 175062 177210 262593 268950 291770 295350 320947 403425 437655 443025 525186 641894 729425 806850 875310 886050 962841 1312965 1458850 1604735 1925682 2188275 2625930 2888523 3209470 4376550 4814205 5777046 6564825 8023675 9628410 13129650 14442615 16047350 24071025 28885230 48142050 72213075 144426150