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14411231240 = 2357224130509
BaseRepresentation
bin11010110101111100…
…11111000000001000
31101012100021101210012
431122332133000020
5214003233344430
610342002411052
71020060305300
oct153276370010
941170241705
1014411231240
11612584536a
122962360a88
131488883583
149a9d62600
155952b4695
hex35af9f008

14411231240 has 96 divisors (see below), whose sum is σ = 37876944600. Its totient is φ = 4920330240.

The previous prime is 14411231171. The next prime is 14411231243. The reversal of 14411231240 is 4213211441.

14411231240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8258083876 + 6153147364 = 90874^2 + 78442^2 .

It is not an unprimeable number, because it can be changed into a prime (14411231243) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 457106 + ... + 487614.

Almost surely, 214411231240 is an apocalyptic number.

14411231240 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 14411231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18938472300).

14411231240 is an abundant number, since it is smaller than the sum of its proper divisors (23465713360).

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

14411231240 is a wasteful number, since it uses less digits than its factorization.

14411231240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30775 (or 30764 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 14411231240 its reverse (4213211441), we get a palindrome (18624442681).

The spelling of 14411231240 in words is "fourteen billion, four hundred eleven million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 241 245 280 392 482 490 964 980 1205 1687 1928 1960 2410 3374 4820 6748 8435 9640 11809 13496 16870 23618 30509 33740 47236 59045 61018 67480 94472 118090 122036 152545 213563 236180 244072 305090 427126 472360 610180 854252 1067815 1220360 1494941 1708504 2135630 2989882 4271260 5979764 7352669 7474705 8542520 11959528 14705338 14949410 29410676 29898820 36763345 51468683 58821352 59797640 73526690 102937366 147053380 205874732 257343415 294106760 360280781 411749464 514686830 720561562 1029373660 1441123124 1801403905 2058747320 2882246248 3602807810 7205615620 14411231240