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144111330 = 232511236329
BaseRepresentation
bin10001001011011…
…11011011100010
3101001011121120200
420211233123202
5243343030310
622144450030
73366632436
oct1045573342
9331147520
10144111330
117438aa80
1240319916
1323b1979c
14151d49c6
15c9b99c0
hex896f6e2

144111330 has 96 divisors (see below), whose sum is σ = 426591360. Its totient is φ = 33411840.

The previous prime is 144111313. The next prime is 144111347. The reversal of 144111330 is 33111441.

It is an interprime number because it is at equal distance from previous prime (144111313) and next prime (144111347).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 19606 + ... + 25934.

It is an arithmetic number, because the mean of its divisors is an integer number (4443660).

Almost surely, 2144111330 is an apocalyptic number.

144111330 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 144111330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213295680).

144111330 is an abundant number, since it is smaller than the sum of its proper divisors (282480030).

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

144111330 is a wasteful number, since it uses less digits than its factorization.

144111330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 144111330 is about 12004.6378537630. The cubic root of 144111330 is about 524.2833214255.

Adding to 144111330 its reverse (33111441), we get a palindrome (177222771).

It can be divided in two parts, 144111 and 330, that added together give a palindrome (144441).

The spelling of 144111330 in words is "one hundred forty-four million, one hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 6329 7590 11385 12658 18987 22770 31645 37974 56961 63290 69619 94935 113922 139238 145567 189870 208857 284805 291134 348095 417714 436701 569610 626571 696190 727835 873402 1044285 1253142 1310103 1455670 1601237 2088570 2183505 2620206 3132855 3202474 4367010 4803711 6265710 6550515 8006185 9607422 13101030 14411133 16012370 24018555 28822266 48037110 72055665 144111330