Search a number
-
+
23124013214224 = 2413436287411233
BaseRepresentation
bin1010100000111111110101…
…00101111110101000010000
310000212122010020110210120011
411100133322211332220100
511012330434340323344
6121103005223124304
74604440414142266
oct520377245765020
9100778106423504
1023124013214224
1174059256880aa
1227157092a3694
13cb977b598270
1459d2cb490436
152a1796a65d34
hex1507fa97ea10

23124013214224 has 80 divisors (see below), whose sum is σ = 49379189029632. Its totient is φ = 10422737547264.

The previous prime is 23124013214143. The next prime is 23124013214297. The reversal of 23124013214224 is 42241231042132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56025312 + ... + 56436544.

Almost surely, 223124013214224 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 23124013214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24689594514816).

23124013214224 is an abundant number, since it is smaller than the sum of its proper divisors (26255175815408).

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

23124013214224 is a wasteful number, since it uses less digits than its factorization.

23124013214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417584 (or 417578 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 23124013214224 its reverse (42241231042132), we get a palindrome (65365244256356).

The spelling of 23124013214224 in words is "twenty-three trillion, one hundred twenty-four billion, thirteen million, two hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 344 559 688 1118 2236 4472 6287 8944 12574 25148 50296 81731 100592 163462 270341 326924 411233 540682 653848 822466 1081364 1307696 1644932 2162728 3289864 3514433 4325456 5346029 6579728 7028866 10692058 14057732 17683019 21384116 28115464 35366038 42768232 56230928 70732076 85536464 141464152 229879247 282928304 459758494 919516988 1839033976 2585421871 3678067952 5170843742 10341687484 20683374968 33610484323 41366749936 67220968646 111173140453 134441937292 222346280906 268883874584 444692561812 537767749168 889385123624 1445250825889 1778770247248 2890501651778 5781003303556 11562006607112 23124013214224