Search a number
-
+
144726471 = 3271293773
BaseRepresentation
bin10001010000001…
…01100111000111
3101002022212101200
420220011213013
5244022221341
622205553543
73405104031
oct1050054707
9332285350
10144726471
117477015a
12405758b3
1323ca3786
1415314c51
15ca8bdb6
hex8a059c7

144726471 has 24 divisors (see below), whose sum is σ = 212992416. Its totient is φ = 94678080.

The previous prime is 144726451. The next prime is 144726473. The reversal of 144726471 is 174627441.

It is a happy number.

144726471 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 2 + 647 + 1 = 666.

It is not a de Polignac number, because 144726471 - 222 = 140532167 is a prime.

It is a super-3 number, since 3×1447264713 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144726473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186841 + ... + 187613.

It is an arithmetic number, because the mean of its divisors is an integer number (8874684).

Almost surely, 2144726471 is an apocalyptic number.

144726471 is a deficient number, since it is larger than the sum of its proper divisors (68265945).

144726471 is a wasteful number, since it uses less digits than its factorization.

144726471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1140 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 144726471 is about 12030.2315439064. The cubic root of 144726471 is about 525.0282324953.

It can be divided in two parts, 144 and 726471, that added together give a triangular number (726615 = T1205).

The spelling of 144726471 in words is "one hundred forty-four million, seven hundred twenty-six thousand, four hundred seventy-one".

Divisors: 1 3 9 71 213 293 639 773 879 2319 2637 6957 20803 54883 62409 164649 187227 226489 493947 679467 2038401 16080719 48242157 144726471