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144199132 = 227111941601
BaseRepresentation
bin10001001100001…
…00110111011100
3101001100002000121
420212010313130
5243403333012
622150404324
73400446430
oct1046046734
9331302017
10144199132
117443aa40
12403606a4
1323b4a73c
14152189c0
15c9d5a07
hex8984ddc

144199132 has 96 divisors (see below), whose sum is σ = 339816960. Its totient is φ = 51840000.

The previous prime is 144199109. The next prime is 144199169. The reversal of 144199132 is 231991441.

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, 239632 + ... + 240232.

It is an arithmetic number, because the mean of its divisors is an integer number (3539760).

Almost surely, 2144199132 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 144199132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169908480).

144199132 is an abundant number, since it is smaller than the sum of its proper divisors (195617828).

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

144199132 is a wasteful number, since it uses less digits than its factorization.

144199132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 681 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The square root of 144199132 is about 12008.2943001910. The cubic root of 144199132 is about 524.3897756475.

The spelling of 144199132 in words is "one hundred forty-four million, one hundred ninety-nine thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 19 22 28 38 41 44 76 77 82 133 154 164 209 266 287 308 418 451 532 574 601 779 836 902 1148 1202 1463 1558 1804 2404 2926 3116 3157 4207 5453 5852 6314 6611 8414 8569 10906 11419 12628 13222 16828 17138 21812 22838 24641 26444 34276 45676 46277 49282 59983 79933 92554 98564 119966 125609 159866 172487 185108 239932 251218 271051 319732 344974 468179 502436 542102 689948 879263 936358 1084204 1758526 1872716 1897357 3277253 3517052 3794714 5149969 6554506 7589428 10299938 13109012 20599876 36049783 72099566 144199132