Search a number
-
+
144711448 = 23719277491
BaseRepresentation
bin10001010000000…
…01111100011000
3101002022002210021
420220001330120
5244021231243
622205400224
73405012160
oct1050017430
9332262707
10144711448
117475a942
1240569074
1323c9999b
141530d5a0
15ca876ed
hex8a01f18

144711448 has 64 divisors (see below), whose sum is σ = 328262400. Its totient is φ = 58423680.

The previous prime is 144711433. The next prime is 144711461. The reversal of 144711448 is 844117441.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294483 + ... + 294973.

It is an arithmetic number, because the mean of its divisors is an integer number (5129100).

Almost surely, 2144711448 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 144711448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164131200).

144711448 is an abundant number, since it is smaller than the sum of its proper divisors (183550952).

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

144711448 is a wasteful number, since it uses less digits than its factorization.

144711448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its digits is 14336, while the sum is 34.

The square root of 144711448 is about 12029.6071423800. The cubic root of 144711448 is about 525.0100654155.

Adding to 144711448 its reverse (844117441), we get a palindrome (988828889).

The spelling of 144711448 in words is "one hundred forty-four million, seven hundred eleven thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 277 491 532 554 982 1064 1108 1939 1964 2216 3437 3878 3928 5263 6874 7756 9329 10526 13748 15512 18658 21052 27496 36841 37316 42104 65303 73682 74632 130606 136007 147364 261212 272014 294728 522424 544028 952049 1088056 1904098 2584133 3808196 5168266 7616392 10336532 18088931 20673064 36177862 72355724 144711448