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144133050 = 235219103491
BaseRepresentation
bin10001001011101…
…00101110111010
3101001012201101010
420211310232322
5243344224200
622145134350
73400052655
oct1045645672
9331181333
10144133050
11743a5326
124032a3b6
1323b26639
14151dc89c
15c9c1150
hex8974bba

144133050 has 96 divisors (see below), whose sum is σ = 380689920. Its totient is φ = 35985600.

The previous prime is 144133037. The next prime is 144133061. The reversal of 144133050 is 50331441.

It is a super-2 number, since 2×1441330502 = 41548672204605000, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293305 + ... + 293795.

It is an arithmetic number, because the mean of its divisors is an integer number (3965520).

Almost surely, 2144133050 is an apocalyptic number.

144133050 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 144133050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190344960).

144133050 is an abundant number, since it is smaller than the sum of its proper divisors (236556870).

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

144133050 is a wasteful number, since it uses less digits than its factorization.

144133050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 144133050 is about 12005.5424700427. The cubic root of 144133050 is about 524.3096595390.

Adding to 144133050 its reverse (50331441), we get a palindrome (194464491).

The spelling of 144133050 in words is "one hundred forty-four million, one hundred thirty-three thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 103 114 150 190 206 285 309 475 491 515 570 618 950 982 1030 1425 1473 1545 1957 2455 2575 2850 2946 3090 3914 4910 5150 5871 7365 7725 9329 9785 11742 12275 14730 15450 18658 19570 24550 27987 29355 36825 46645 48925 50573 55974 58710 73650 93290 97850 101146 139935 146775 151719 233225 252865 279870 293550 303438 466450 505730 699675 758595 960887 1264325 1399350 1517190 1921774 2528650 2882661 3792975 4804435 5765322 7585950 9608870 14413305 24022175 28826610 48044350 72066525 144133050