Search a number
-
+
23432956144 = 2413538112621
BaseRepresentation
bin10101110100101101…
…101000100011110000
32020111002020111202121
4111310231220203300
5340442314044034
614433121324024
71456455561253
oct256455504360
966432214677
1023432956144
119a35324864
12465b796614
13229599c130
1411c41d109a
159223331b4
hex574b688f0

23432956144 has 80 divisors (see below), whose sum is σ = 49896743904. Its totient is φ = 10594022400.

The previous prime is 23432956133. The next prime is 23432956153. The reversal of 23432956144 is 44165923432.

It is a self number, because there is not a number n which added to its sum of digits gives 23432956144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8939154 + ... + 8941774.

Almost surely, 223432956144 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 23432956144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24948371952).

23432956144 is an abundant number, since it is smaller than the sum of its proper divisors (26463787760).

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

23432956144 is a wasteful number, since it uses less digits than its factorization.

23432956144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3500 counting only the distinct ones).

The product of its digits is 622080, while the sum is 43.

The spelling of 23432956144 in words is "twenty-three billion, four hundred thirty-two million, nine hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 811 848 1378 1622 2621 2756 3244 5242 5512 6488 10484 10543 11024 12976 20968 21086 34073 41936 42172 42983 68146 84344 85966 136292 138913 168688 171932 272584 277826 343864 545168 555652 558779 687728 1111304 1117558 1805869 2125631 2222608 2235116 3611738 4251262 4470232 7223476 8502524 8940464 14446952 17005048 27633203 28893904 34010096 55266406 110532812 112658443 221065624 225316886 442131248 450633772 901267544 1464559759 1802535088 2929119518 5858239036 11716478072 23432956144