Search a number
-
+
144111474 = 23413411669
BaseRepresentation
bin10001001011011…
…11011101110010
3101001011121210000
420211233131302
5243343031344
622144450430
73366633033
oct1045573562
9331147700
10144111474
11743900a1
1240319a16
1323b19880
14151d4a8a
15c9b9a69
hex896f772

144111474 has 80 divisors (see below), whose sum is σ = 356451480. Its totient is φ = 43234560.

The previous prime is 144111449. The next prime is 144111497. The reversal of 144111474 is 474111441.

It can be written as a sum of positive squares in 4 ways, for example, as 62299449 + 81812025 = 7893^2 + 9045^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85512 + ... + 87180.

Almost surely, 2144111474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144111474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178225740).

144111474 is an abundant number, since it is smaller than the sum of its proper divisors (212340006).

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

144111474 is a wasteful number, since it uses less digits than its factorization.

144111474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1728 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 144111474 is about 12004.6438514435. The cubic root of 144111474 is about 524.2834960516.

The spelling of 144111474 in words is "one hundred forty-four million, one hundred eleven thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 81 82 117 123 162 234 246 351 369 533 702 738 1053 1066 1107 1599 1669 2106 2214 3198 3321 3338 4797 5007 6642 9594 10014 14391 15021 21697 28782 30042 43173 43394 45063 65091 68429 86346 90126 130182 135189 136858 195273 205287 270378 390546 410574 585819 615861 889577 1171638 1231722 1757457 1779154 1847583 2668731 3514914 3695166 5337462 5542749 8006193 11085498 16012386 24018579 48037158 72055737 144111474