Search a number
-
+
24132414020 = 225111360713901
BaseRepresentation
bin10110011110011001…
…110110101001000100
32022021211101122120212
4112132121312221010
5343410344222040
615030345214552
71513011064121
oct263631665104
968254348525
1024132414020
11a264133920
124815a91458
13237787b830
14124d067748
15963949d65
hex59e676a44

24132414020 has 96 divisors (see below), whose sum is σ = 59640247296. Its totient is φ = 8086464000.

The previous prime is 24132414017. The next prime is 24132414023. The reversal of 24132414020 is 2041423142.

It is an interprime number because it is at equal distance from previous prime (24132414017) and next prime (24132414023).

It is not an unprimeable number, because it can be changed into a prime (24132414023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1729070 + ... + 1742970.

It is an arithmetic number, because the mean of its divisors is an integer number (621252576).

Almost surely, 224132414020 is an apocalyptic number.

24132414020 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 24132414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29820123648).

24132414020 is an abundant number, since it is smaller than the sum of its proper divisors (35507833276).

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

24132414020 is a wasteful number, since it uses less digits than its factorization.

24132414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14541 (or 14539 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 24132414020 its reverse (2041423142), we get a palindrome (26173837162).

The spelling of 24132414020 in words is "twenty-four billion, one hundred thirty-two million, four hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 607 715 1214 1430 2428 2860 3035 6070 6677 7891 12140 13354 13901 15782 26708 27802 31564 33385 39455 55604 66770 69505 78910 86801 133540 139010 152911 157820 173602 180713 278020 305822 347204 361426 434005 611644 722852 764555 868010 903565 1529110 1736020 1807130 1987843 3058220 3614260 3975686 7951372 8437907 9939215 16875814 19878430 33751628 39756860 42189535 84379070 92816977 109692791 168758140 185633954 219385582 371267908 438771164 464084885 548463955 928169770 1096927910 1206620701 1856339540 2193855820 2413241402 4826482804 6033103505 12066207010 24132414020