Search a number
-
+
14420153024 = 2629127131467
BaseRepresentation
bin11010110111000001…
…00001001011000000
31101012222001200011122
431123200201023000
5214013024344044
610342521531412
71020226164314
oct153340411300
941188050148
1014420153024
11612a889442
122965343b68
13148a688434
149ab205b44
15595e77dee
hex35b8212c0

14420153024 has 112 divisors (see below), whose sum is σ = 30126919680. Its totient is φ = 6839239680.

The previous prime is 14420153023. The next prime is 14420153029. The reversal of 14420153024 is 42035102441.

It is a junction number, because it is equal to n+sod(n) for n = 14420152984 and 14420153002.

It is not an unprimeable number, because it can be changed into a prime (14420153023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30878039 + ... + 30878505.

Almost surely, 214420153024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14420153024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15063459840).

14420153024 is an abundant number, since it is smaller than the sum of its proper divisors (15706766656).

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

14420153024 is a wasteful number, since it uses less digits than its factorization.

14420153024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 14420153024 its reverse (42035102441), we get a palindrome (56455255465).

The spelling of 14420153024 in words is "fourteen billion, four hundred twenty million, one hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 127 131 232 254 262 464 467 508 524 928 934 1016 1048 1856 1868 2032 2096 3683 3736 3799 4064 4192 7366 7472 7598 8128 8384 13543 14732 14944 15196 16637 27086 29464 29888 30392 33274 54172 58928 59309 60784 61177 66548 108344 117856 118618 121568 122354 133096 216688 235712 237236 243136 244708 266192 433376 474472 482473 489416 532384 866752 948944 964946 978832 1064768 1719961 1774133 1897888 1929892 1957664 3439922 3548266 3795776 3859784 3915328 6879844 7096532 7719568 7769479 13759688 14193064 15439136 15538958 27519376 28386128 30878272 31077916 55038752 56772256 62155832 110077504 113544512 124311664 225314891 248623328 450629782 497246656 901259564 1802519128 3605038256 7210076512 14420153024