Search a number
-
+
144036198 = 2334167971
BaseRepresentation
bin10001001010111…
…01000101100110
3101001000210112000
420211131011212
5243333124243
622143110130
73366200415
oct1045350546
9331023460
10144036198
1174339589
12402a2346
1323ac1527
14151b547c
15c9a25d3
hex895d166

144036198 has 64 divisors (see below), whose sum is σ = 333123840. Its totient is φ = 46094400.

The previous prime is 144036149. The next prime is 144036251. The reversal of 144036198 is 891630441.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 147853 + ... + 148823.

It is an arithmetic number, because the mean of its divisors is an integer number (5205060).

Almost surely, 2144036198 is an apocalyptic number.

144036198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144036198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).

144036198 is an abundant number, since it is smaller than the sum of its proper divisors (189087642).

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

144036198 is a wasteful number, since it uses less digits than its factorization.

144036198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 144036198 is about 12001.5081552278. The cubic root of 144036198 is about 524.1921944201.

The spelling of 144036198 in words is "one hundred forty-four million, thirty-six thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 41 54 67 82 123 134 201 246 369 402 603 738 971 1107 1206 1809 1942 2214 2747 2913 3618 5494 5826 8241 8739 16482 17478 24723 26217 39811 49446 52434 65057 74169 79622 119433 130114 148338 195171 238866 358299 390342 585513 716598 1074897 1171026 1756539 2149794 2667337 3513078 5334674 8002011 16004022 24006033 48012066 72018099 144036198