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144150150 = 235219371367
BaseRepresentation
bin10001001011110…
…00111010000110
3101001020120211110
420211320322012
5243400301100
622145345450
73400153554
oct1045707206
9331216743
10144150150
1174407161
1240338286
1323b31361
1415204bd4
15c9c6250
hex8978e86

144150150 has 96 divisors (see below), whose sum is σ = 386760960. Its totient is φ = 35406720.

The previous prime is 144150133. The next prime is 144150151. The reversal of 144150150 is 51051441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144150151) 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 47 ways as a sum of consecutive naturals, for example, 104767 + ... + 106133.

It is an arithmetic number, because the mean of its divisors is an integer number (4028760).

Almost surely, 2144150150 is an apocalyptic number.

144150150 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 144150150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193380480).

144150150 is an abundant number, since it is smaller than the sum of its proper divisors (242610810).

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

144150150 is a wasteful number, since it uses less digits than its factorization.

144150150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 144150150 is about 12006.2546199887. The cubic root of 144150150 is about 524.3303934850.

It can be divided in two parts, 144150 and 150, that multiplied together give a square (21622500 = 46502).

The spelling of 144150150 in words is "one hundred forty-four million, one hundred fifty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 37 38 50 57 74 75 95 111 114 150 185 190 222 285 370 475 555 570 703 925 950 1110 1367 1406 1425 1850 2109 2734 2775 2850 3515 4101 4218 5550 6835 7030 8202 10545 13670 17575 20505 21090 25973 34175 35150 41010 50579 51946 52725 68350 77919 101158 102525 105450 129865 151737 155838 205050 252895 259730 303474 389595 505790 649325 758685 779190 961001 1264475 1298650 1517370 1922002 1947975 2528950 2883003 3793425 3895950 4805005 5766006 7586850 9610010 14415015 24025025 28830030 48050050 72075075 144150150