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144113132420 = 22547172189083
BaseRepresentation
bin1000011000110111001…
…1111110001110000100
3111202222111021122200222
42012031303332032010
54330120430214140
6150112112323512
713261154262005
oct2061563761604
9452874248628
10144113132420
1156133119434
1223b1b243598
1310788a7476a
146d919d11ac
153b36d925b5
hex218dcfe384

144113132420 has 48 divisors (see below), whose sum is σ = 309259738368. Its totient is φ = 56385342720.

The previous prime is 144113132381. The next prime is 144113132453. The reversal of 144113132420 is 24231311441.

144113132420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144113132420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1573199 + ... + 1662281.

It is an arithmetic number, because the mean of its divisors is an integer number (6442911216).

Almost surely, 2144113132420 is an apocalyptic number.

144113132420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144113132420 is an abundant number, since it is smaller than the sum of its proper divisors (165146605948).

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

144113132420 is a wasteful number, since it uses less digits than its factorization.

144113132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90860 (or 90858 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 144113132420 its reverse (24231311441), we get a palindrome (168344443861).

The spelling of 144113132420 in words is "one hundred forty-four billion, one hundred thirteen million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 1721 3442 6884 8605 17210 34420 80887 89083 161774 178166 323548 356332 404435 445415 808870 890830 1617740 1781660 4186901 8373802 16747604 20934505 41869010 83738020 153311843 306623686 613247372 766559215 1533118430 3066236860 7205656621 14411313242 28822626484 36028283105 72056566210 144113132420