Search a number
-
+
141144048 = 24323759449
BaseRepresentation
bin10000110100110…
…10111111110000
3100211120212020100
420122122333300
5242113102143
622001112400
73332463453
oct1032327760
9324525210
10141144048
1172743681
123b328700
132331acb6
1414a6149a
15c5d06d3
hex869aff0

141144048 has 120 divisors (see below), whose sum is σ = 413478000. Its totient is φ = 44900352.

The previous prime is 141144041. The next prime is 141144049. The reversal of 141144048 is 840441141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141144041) 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, 314128 + ... + 314576.

It is an arithmetic number, because the mean of its divisors is an integer number (3445650).

Almost surely, 2141144048 is an apocalyptic number.

141144048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141144048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206739000).

141144048 is an abundant number, since it is smaller than the sum of its proper divisors (272333952).

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

141144048 is a wasteful number, since it uses less digits than its factorization.

141144048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 141144048 is about 11880.4060536667. The cubic root of 141144048 is about 520.6599707062.

Adding to 141144048 its reverse (840441141), we get a palindrome (981585189).

The spelling of 141144048 in words is "one hundred forty-one million, one hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 59 72 74 111 118 144 148 177 222 236 296 333 354 444 449 472 531 592 666 708 888 898 944 1062 1332 1347 1416 1776 1796 2124 2183 2664 2694 2832 3592 4041 4248 4366 5328 5388 6549 7184 8082 8496 8732 10776 13098 16164 16613 17464 19647 21552 26196 26491 32328 33226 34928 39294 49839 52392 52982 64656 66452 78588 79473 99678 104784 105964 132904 149517 157176 158946 199356 211928 238419 265808 299034 314352 317892 398712 423856 476838 598068 635784 797424 953676 980167 1196136 1271568 1907352 1960334 2392272 2940501 3814704 3920668 5881002 7841336 8821503 11762004 15682672 17643006 23524008 35286012 47048016 70572024 141144048