Search a number
-
+
144312660 = 223251747161
BaseRepresentation
bin10001001101000…
…00100101010100
3101001112211202100
420212200211110
5243421001120
622153042100
73401431422
oct1046404524
9331484670
10144312660
1174508268
12403b6330
1323b8a30b
1415248112
15ca09490
hex89a0954

144312660 has 72 divisors (see below), whose sum is σ = 463508136. Its totient is φ = 36218880.

The previous prime is 144312653. The next prime is 144312689. The reversal of 144312660 is 66213441.

It can be written as a sum of positive squares in 4 ways, for example, as 10771524 + 133541136 = 3282^2 + 11556^2 .

It is a super-2 number, since 2×1443126602 = 41652287672551200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20521 + ... + 26640.

It is an arithmetic number, because the mean of its divisors is an integer number (6437613).

Almost surely, 2144312660 is an apocalyptic number.

144312660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144312660 is an abundant number, since it is smaller than the sum of its proper divisors (319195476).

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

144312660 is a wasteful number, since it uses less digits than its factorization.

144312660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47193 (or 47188 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 144312660 is about 12013.0204361767. The cubic root of 144312660 is about 524.5273569331.

The spelling of 144312660 in words is "one hundred forty-four million, three hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 47161 94322 141483 188644 235805 282966 424449 471610 565932 707415 801737 848898 943220 1414830 1603474 1697796 2122245 2405211 2829660 3206948 4008685 4244490 4810422 7215633 8017370 8488980 9620844 12026055 14431266 16034740 24052110 28862532 36078165 48104220 72156330 144312660