Search a number
-
+
23144105240 = 2353169127011
BaseRepresentation
bin10101100011011111…
…110000010100011000
32012201221201100210222
4111203133300110120
5334344342331430
614344322255212
71446350435324
oct254337602430
965657640728
1023144105240
1198a7275903
12459aab7508
13224aba5c39
141197ac0984
15906cc79e5
hex5637f0518

23144105240 has 64 divisors (see below), whose sum is σ = 53833835520. Its totient is φ = 8945712000.

The previous prime is 23144105239. The next prime is 23144105273. The reversal of 23144105240 is 4250144132.

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, 843335 + ... + 870345.

It is an arithmetic number, because the mean of its divisors is an integer number (841153680).

Almost surely, 223144105240 is an apocalyptic number.

23144105240 is a gapful number since it is divisible by the number (20) 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 23144105240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26916917760).

23144105240 is an abundant number, since it is smaller than the sum of its proper divisors (30689730280).

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

23144105240 is a wasteful number, since it uses less digits than its factorization.

23144105240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27744 (or 27740 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 23144105240 its reverse (4250144132), we get a palindrome (27394249372).

The spelling of 23144105240 in words is "twenty-three billion, one hundred forty-four million, one hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 691 1240 1382 2764 3455 5528 6910 13820 21421 27011 27640 42842 54022 85684 107105 108044 135055 171368 214210 216088 270110 428420 540220 837341 856840 1080440 1674682 3349364 4186705 6698728 8373410 16746820 18664601 33493640 37329202 74658404 93323005 149316808 186646010 373292020 578602631 746584040 1157205262 2314410524 2893013155 4628821048 5786026310 11572052620 23144105240