Search a number
-
+
24312202140 = 2235412241049
BaseRepresentation
bin10110101001000111…
…101100001110011100
32022202100200211112010
4112221013230032130
5344242410432030
615100250511220
71520323210542
oct265107541634
968670624463
1024312202140
11a346671346
124866135510
1323a5baa135
141268ca7d92
159746106b0
hex5a91ec39c

24312202140 has 72 divisors (see below), whose sum is σ = 69775297200. Its totient is φ = 6325099520.

The previous prime is 24312202139. The next prime is 24312202169. The reversal of 24312202140 is 4120221342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19665 + ... + 221384.

It is an arithmetic number, because the mean of its divisors is an integer number (969101350).

Almost surely, 224312202140 is an apocalyptic number.

24312202140 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 24312202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34887648600).

24312202140 is an abundant number, since it is smaller than the sum of its proper divisors (45463095060).

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

24312202140 is a wasteful number, since it uses less digits than its factorization.

24312202140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241143 (or 241100 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 24312202140 its reverse (4120221342), we get a palindrome (28432423482).

The spelling of 24312202140 in words is "twenty-four billion, three hundred twelve million, two hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1681 2460 3362 5043 6724 8405 10086 16810 20172 25215 33620 50430 100860 241049 482098 723147 964196 1205245 1446294 2410490 2892588 3615735 4820980 7231470 9883009 14462940 19766018 29649027 39532036 49415045 59298054 98830090 118596108 148245135 197660180 296490270 405203369 592980540 810406738 1215610107 1620813476 2026016845 2431220214 4052033690 4862440428 6078050535 8104067380 12156101070 24312202140