Search a number
-
+
20154144300 = 22352173951793
BaseRepresentation
bin10010110001010001…
…111101011000101100
31221000120120121110220
4102301101331120230
5312233430104200
613131513131340
71312303254123
oct226121753054
957016517426
1020154144300
118602541a04
123aa56b9b50
131b925c7c94
14d9296caba
157ce5684a0
hex4b147d62c

20154144300 has 72 divisors (see below), whose sum is σ = 61742829456. Its totient is φ = 5058293760.

The previous prime is 20154144281. The next prime is 20154144301. The reversal of 20154144300 is 344145102.

It is not an unprimeable number, because it can be changed into a prime (20154144301) 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, 1970797 + ... + 1980996.

It is an arithmetic number, because the mean of its divisors is an integer number (857539298).

Almost surely, 220154144300 is an apocalyptic number.

20154144300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20154144300 is an abundant number, since it is smaller than the sum of its proper divisors (41588685156).

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

20154144300 is a wasteful number, since it uses less digits than its factorization.

20154144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951827 (or 3951820 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 20154144300 its reverse (344145102), we get a palindrome (20498289402).

The spelling of 20154144300 in words is "twenty billion, one hundred fifty-four million, one hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 3951793 7903586 11855379 15807172 19758965 23710758 39517930 47421516 59276895 67180481 79035860 98794825 118553790 134360962 197589650 201541443 237107580 268721924 296384475 335902405 395179300 403082886 592768950 671804810 806165772 1007707215 1185537900 1343609620 1679512025 2015414430 3359024050 4030828860 5038536075 6718048100 10077072150 20154144300