Search a number
-
+
144232770 = 235112331613
BaseRepresentation
bin10001001100011…
…01000101000010
3101001101210011110
420212031011002
5243410422040
622151224150
73400646463
oct1046150502
9331353143
10144232770
1174463240
1240378056
1323b5cb46
1415226d6a
15c9e0980
hex898d142

144232770 has 128 divisors (see below), whose sum is σ = 407420928. Its totient is φ = 32313600.

The previous prime is 144232741. The next prime is 144232783. The reversal of 144232770 is 77232441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234984 + ... + 235596.

It is an arithmetic number, because the mean of its divisors is an integer number (3182976).

Almost surely, 2144232770 is an apocalyptic number.

144232770 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 144232770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203710464).

144232770 is an abundant number, since it is smaller than the sum of its proper divisors (263188158).

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

144232770 is a wasteful number, since it uses less digits than its factorization.

144232770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688.

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 144232770 is about 12009.6948337583. The cubic root of 144232770 is about 524.4305480886.

The spelling of 144232770 in words is "one hundred forty-four million, two hundred thirty-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 31 33 46 55 62 66 69 93 110 115 138 155 165 186 230 253 310 330 341 345 465 506 613 682 690 713 759 930 1023 1226 1265 1426 1518 1705 1839 2046 2139 2530 3065 3410 3565 3678 3795 4278 5115 6130 6743 7130 7590 7843 9195 10230 10695 13486 14099 15686 18390 19003 20229 21390 23529 28198 33715 38006 39215 40458 42297 47058 57009 67430 70495 78430 84594 95015 101145 114018 117645 140990 155089 190030 202290 209033 211485 235290 285045 310178 418066 422970 437069 465267 570090 627099 775445 874138 930534 1045165 1254198 1311207 1550890 2090330 2185345 2326335 2622414 3135495 4370690 4652670 4807759 6270990 6556035 9615518 13112070 14423277 24038795 28846554 48077590 72116385 144232770