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144215244 = 2232192389103
BaseRepresentation
bin10001001100010…
…00110011001100
3101001100220010100
420212020303030
5243404341434
622151011100
73400544415
oct1046106314
9331326110
10144215244
1174451058
1240369a90
1323b54b84
141522080c
15c9da699
hex8988ccc

144215244 has 144 divisors (see below), whose sum is σ = 408844800. Its totient is φ = 42653952.

The previous prime is 144215243. The next prime is 144215273. The reversal of 144215244 is 442512441.

It is not an unprimeable number, because it can be changed into a prime (144215243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1400097 + ... + 1400199.

It is an arithmetic number, because the mean of its divisors is an integer number (2839200).

Almost surely, 2144215244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144215244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204422400).

144215244 is an abundant number, since it is smaller than the sum of its proper divisors (264629556).

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

144215244 is a wasteful number, since it uses less digits than its factorization.

144215244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 144215244 is about 12008.9651510861. The cubic root of 144215244 is about 524.4093057082.

Adding to 144215244 its reverse (442512441), we get a palindrome (586727685).

The spelling of 144215244 in words is "one hundred forty-four million, two hundred fifteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 89 92 103 114 138 171 178 206 207 228 267 276 309 342 356 412 414 437 534 618 684 801 828 874 927 1068 1236 1311 1602 1691 1748 1854 1957 2047 2369 2622 3204 3382 3708 3914 3933 4094 4738 5073 5244 5871 6141 6764 7107 7828 7866 8188 9167 9476 10146 11742 12282 14214 15219 15732 17613 18334 18423 20292 21321 23484 24564 27501 28428 30438 35226 36668 36846 38893 42642 45011 55002 60876 70452 73692 77786 82503 85284 90022 110004 116679 135033 155572 165006 174173 180044 210841 233358 270066 330012 348346 350037 405099 421682 466716 522519 540132 632523 696692 700074 810198 843364 1045038 1265046 1400148 1567557 1620396 1897569 2090076 2530092 3135114 3795138 4005979 6270228 7590276 8011958 12017937 16023916 24035874 36053811 48071748 72107622 144215244