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12411430320 = 243531253813
BaseRepresentation
bin10111000111100011…
…10110010110110000
31012000222021222122110
423203301312112300
5200404311232240
65411324005320
7616365263022
oct134361662660
935028258573
1012411430320
115299a24333
1224a4690840
13122a478a13
1485a51a012
154c9940c80
hex2e3c765b0

12411430320 has 120 divisors (see below), whose sum is σ = 39757352688. Its totient is φ = 3202890240.

The previous prime is 12411430319. The next prime is 12411430379. The reversal of 12411430320 is 2303411421.

It is a tau number, because it is divible by the number of its divisors (120).

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, 203734 + ... + 257546.

Almost surely, 212411430320 is an apocalyptic number.

12411430320 is a gapful number since it is divisible by the number (10) 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 12411430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19878676344).

12411430320 is an abundant number, since it is smaller than the sum of its proper divisors (27345922368).

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

12411430320 is a wasteful number, since it uses less digits than its factorization.

12411430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53891 (or 53854 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12411430320 its reverse (2303411421), we get a palindrome (14714841741).

The spelling of 12411430320 in words is "twelve billion, four hundred eleven million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 961 1240 1488 1860 1922 2480 2883 3720 3844 4805 5766 7440 7688 9610 11532 14415 15376 19220 23064 28830 38440 46128 53813 57660 76880 107626 115320 161439 215252 230640 269065 322878 430504 538130 645756 807195 861008 1076260 1291512 1614390 1668203 2152520 2583024 3228780 3336406 4305040 5004609 6457560 6672812 8341015 10009218 12915120 13345624 16682030 20018436 25023045 26691248 33364060 40036872 50046090 51714293 66728120 80073744 100092180 103428586 133456240 155142879 200184360 206857172 258571465 310285758 400368720 413714344 517142930 620571516 775714395 827428688 1034285860 1241143032 1551428790 2068571720 2482286064 3102857580 4137143440 6205715160 12411430320