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144561368 = 2372379967
BaseRepresentation
bin10001001110111…
…01010011011000
3101002000110220202
420213131103120
5244001430433
622202241332
73403515500
oct1047352330
9332013822
10144561368
1174668106
12404b6248
1323c46593
14152b0a00
15ca57ee8
hex89dd4d8

144561368 has 48 divisors (see below), whose sum is σ = 323860320. Its totient is φ = 60274368.

The previous prime is 144561289. The next prime is 144561377. The reversal of 144561368 is 863165441.

144561368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9521 + ... + 19487.

It is an arithmetic number, because the mean of its divisors is an integer number (6747090).

Almost surely, 2144561368 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 144561368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161930160).

144561368 is an abundant number, since it is smaller than the sum of its proper divisors (179298952).

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

144561368 is a wasteful number, since it uses less digits than its factorization.

144561368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10024 (or 10013 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 144561368 is about 12023.3675815056. The cubic root of 144561368 is about 524.8285069503.

The spelling of 144561368 in words is "one hundred forty-four million, five hundred sixty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1813 2072 3626 7252 9967 14504 19934 39868 69769 79736 139538 279076 368779 488383 558152 737558 976766 1475116 1953532 2581453 2950232 3907064 5162906 10325812 18070171 20651624 36140342 72280684 144561368