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144381601 = 7132312127
BaseRepresentation
bin10001001101100…
…01011010100001
3101001200100022201
420212301122201
5243430202401
622154333201
73402136420
oct1046613241
9331610281
10144381601
1174555041
124042a201
1323bb2800
14152652b7
15ca1eb01
hex89b16a1

144381601 has 36 divisors (see below), whose sum is σ = 186080256. Its totient is φ = 109680480.

The previous prime is 144381599. The next prime is 144381613. The reversal of 144381601 is 106183441.

It is not a de Polignac number, because 144381601 - 21 = 144381599 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144381601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144381661) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1136800 + ... + 1136926.

It is an arithmetic number, because the mean of its divisors is an integer number (5168896).

Almost surely, 2144381601 is an apocalyptic number.

It is an amenable number.

144381601 is a deficient number, since it is larger than the sum of its proper divisors (41698655).

144381601 is a wasteful number, since it uses less digits than its factorization.

144381601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 144381601 is about 12015.8895217957. The cubic root of 144381601 is about 524.6108693191.

The spelling of 144381601 in words is "one hundred forty-four million, three hundred eighty-one thousand, six hundred one".

Divisors: 1 7 13 31 91 127 169 217 403 889 961 1183 1651 2821 3937 5239 6727 11557 12493 21463 27559 36673 51181 87451 122047 150241 162409 358267 665353 854329 1136863 1586611 4657471 11106277 20625943 144381601