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144167364 = 223411192129
BaseRepresentation
bin10001001011111…
…01000111000100
3101001021110110000
420211331013010
5243401323424
622150001300
73400255005
oct1045750704
9331243400
10144167364
1174419090
1240346230
1323b39143
141520b1ac
15c9cb3c9
hex897d1c4

144167364 has 120 divisors (see below), whose sum is σ = 432986400. Its totient is φ = 41368320.

The previous prime is 144167311. The next prime is 144167369. The reversal of 144167364 is 463761441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144167369) 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 39 ways as a sum of consecutive naturals, for example, 66652 + ... + 68780.

It is an arithmetic number, because the mean of its divisors is an integer number (3608220).

Almost surely, 2144167364 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 144167364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216493200).

144167364 is an abundant number, since it is smaller than the sum of its proper divisors (288819036).

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

144167364 is a wasteful number, since it uses less digits than its factorization.

144167364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2164 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 144167364 is about 12006.9714749390. The cubic root of 144167364 is about 524.3512640013.

The spelling of 144167364 in words is "one hundred forty-four million, one hundred sixty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 198 209 228 297 324 342 396 418 513 594 627 684 836 891 1026 1188 1254 1539 1782 1881 2052 2129 2508 3078 3564 3762 4258 5643 6156 6387 7524 8516 11286 12774 16929 19161 22572 23419 25548 33858 38322 40451 46838 57483 67716 70257 76644 80902 93676 114966 121353 140514 161804 172449 210771 229932 242706 281028 344898 364059 421542 444961 485412 632313 689796 728118 843084 889922 1092177 1264626 1334883 1456236 1779844 1896939 2184354 2529252 2669766 3276531 3793878 4004649 4368708 5339532 6553062 7587756 8009298 12013947 13106124 16018596 24027894 36041841 48055788 72083682 144167364