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144367044 = 223233767211
BaseRepresentation
bin10001001101011…
…01110111000100
3101001122121100120
420212231313010
5243424221134
622154141540
73402046113
oct1046556704
9331577316
10144367044
1174545108
12404218b0
1323ba8cb3
141525dc7a
15ca1a649
hex89addc4

144367044 has 96 divisors (see below), whose sum is σ = 368126976. Its totient is φ = 43908480.

The previous prime is 144367037. The next prime is 144367079. The reversal of 144367044 is 440763441.

144367044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144366996 and 144367014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684099 + ... + 684309.

It is an arithmetic number, because the mean of its divisors is an integer number (3834656).

Almost surely, 2144367044 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 144367044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184063488).

144367044 is an abundant number, since it is smaller than the sum of its proper divisors (223759932).

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

144367044 is a wasteful number, since it uses less digits than its factorization.

144367044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 144367044 is about 12015.2837669362. The cubic root of 144367044 is about 524.5932377625.

The spelling of 144367044 in words is "one hundred forty-four million, three hundred sixty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 12 23 37 46 67 69 74 92 111 134 138 148 201 211 222 268 276 402 422 444 633 804 844 851 1266 1541 1702 2479 2532 2553 3082 3404 4623 4853 4958 5106 6164 7437 7807 9246 9706 9916 10212 14137 14559 14874 15614 18492 19412 23421 28274 29118 29748 31228 42411 46842 56548 57017 58236 84822 93684 114034 169644 171051 179561 228068 325151 342102 359122 523069 538683 650302 684204 718244 975453 1046138 1077366 1300604 1569207 1950906 2092276 2154732 3138414 3901812 6276828 12030587 24061174 36091761 48122348 72183522 144367044