Search a number
-
+
144677868 = 223293113411
BaseRepresentation
bin10001001111110…
…01101111101100
3101002020101201120
420213321233230
5244014142433
622204540540
73404512236
oct1047715754
9332211646
10144677868
1174737695
1240551750
1323c8760a
1415301256
15ca7c7b3
hex89f9bec

144677868 has 48 divisors (see below), whose sum is σ = 360514560. Its totient is φ = 45057600.

The previous prime is 144677851. The next prime is 144677879. The reversal of 144677868 is 868776441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144677868.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4083 + ... + 17493.

It is an arithmetic number, because the mean of its divisors is an integer number (7510720).

Almost surely, 2144677868 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 144677868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180257280).

144677868 is an abundant number, since it is smaller than the sum of its proper divisors (215836692).

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

144677868 is a wasteful number, since it uses less digits than its factorization.

144677868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13478 (or 13476 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 144677868 is about 12028.2113383495. The cubic root of 144677868 is about 524.9694530980.

The spelling of 144677868 in words is "one hundred forty-four million, six hundred seventy-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 2697 3596 5394 10788 13411 26822 40233 53644 80466 160932 388919 415741 777838 831482 1166757 1247223 1555676 1662964 2333514 2494446 4667028 4988892 12056489 24112978 36169467 48225956 72338934 144677868