Search a number
-
+
14421013040 = 245743359473
BaseRepresentation
bin11010110111000111…
…10011001000110000
31101020000200100220002
431123203303020300
5214013234404130
610342552205132
71020236405540
oct153343631060
941200610802
1014421013040
1161303165a5
1229656997a8
13148a8c9a15
149ab38b320
15596097b45
hex35b8f3230

14421013040 has 80 divisors (see below), whose sum is σ = 38407833408. Its totient is φ = 4932845568.

The previous prime is 14421013031. The next prime is 14421013043. The reversal of 14421013040 is 4031012441.

14421013040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14421013043) 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 15 ways as a sum of consecutive naturals, for example, 212744 + ... + 272216.

Almost surely, 214421013040 is an apocalyptic number.

14421013040 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 14421013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203916704).

14421013040 is an abundant number, since it is smaller than the sum of its proper divisors (23986820368).

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

14421013040 is a wasteful number, since it uses less digits than its factorization.

14421013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59926 (or 59920 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14421013040 its reverse (4031012441), we get a palindrome (18452025481).

The spelling of 14421013040 in words is "fourteen billion, four hundred twenty-one million, thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 433 560 866 1732 2165 3031 3464 4330 6062 6928 8660 12124 15155 17320 24248 30310 34640 48496 59473 60620 118946 121240 237892 242480 297365 416311 475784 594730 832622 951568 1189460 1665244 2081555 2378920 3330488 4163110 4757840 6660976 8326220 16652440 25751809 33304880 51503618 103007236 128759045 180262663 206014472 257518090 360525326 412028944 515036180 721050652 901313315 1030072360 1442101304 1802626630 2060144720 2884202608 3605253260 7210506520 14421013040