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144380316 = 223195910733
BaseRepresentation
bin10001001101100…
…01000110011100
3101001200021120010
420212301012130
5243430132231
622154323220
73402132603
oct1046610634
9331607503
10144380316
1174554083
1240429510
1323bb2052
1415264a3a
15ca1e546
hex89b119c

144380316 has 48 divisors (see below), whose sum is σ = 360662400. Its totient is φ = 44816832.

The previous prime is 144380293. The next prime is 144380317. The reversal of 144380316 is 613083441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144380317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8086 + ... + 18818.

It is an arithmetic number, because the mean of its divisors is an integer number (7513800).

Almost surely, 2144380316 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 144380316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180331200).

144380316 is an abundant number, since it is smaller than the sum of its proper divisors (216282084).

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

144380316 is a wasteful number, since it uses less digits than its factorization.

144380316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10818 (or 10816 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 144380316 is about 12015.8360508123. The cubic root of 144380316 is about 524.6093129643.

The spelling of 144380316 in words is "one hundred forty-four million, three hundred eighty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 354 708 1121 2242 3363 4484 6726 10733 13452 21466 32199 42932 64398 128796 203927 407854 611781 633247 815708 1223562 1266494 1899741 2447124 2532988 3799482 7598964 12031693 24063386 36095079 48126772 72190158 144380316