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20443131432 = 2333139719947
BaseRepresentation
bin10011000010100000…
…010110111000101000
31221202201100200022000
4103002200112320220
5313331420201212
613220315131000
71322412515163
oct230240267050
957681320260
1020443131432
118740684249
123b66443a60
131c0a43b199
14dbd0b6ada
157e9aee1dc
hex4c2816e28

20443131432 has 128 divisors (see below), whose sum is σ = 57335040000. Its totient is φ = 6748809408.

The previous prime is 20443131413. The next prime is 20443131437. The reversal of 20443131432 is 23413134402.

20443131432 is a `hidden beast` number, since 204 + 4 + 313 + 143 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20443131396 and 20443131405.

It is not an unprimeable number, because it can be changed into a prime (20443131437) 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 31 ways as a sum of consecutive naturals, for example, 21586783 + ... + 21587729.

It is an arithmetic number, because the mean of its divisors is an integer number (447930000).

Almost surely, 220443131432 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 20443131432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28667520000).

20443131432 is an abundant number, since it is smaller than the sum of its proper divisors (36891908568).

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

20443131432 is a wasteful number, since it uses less digits than its factorization.

20443131432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20443131432 its reverse (23413134402), we get a palindrome (43856265834).

The spelling of 20443131432 in words is "twenty billion, four hundred forty-three million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 556 719 834 947 1112 1251 1438 1668 1894 2157 2502 2841 2876 3336 3753 3788 4314 5004 5682 5752 6471 7506 7576 8523 8628 10008 11364 12942 15012 17046 17256 19413 22728 25569 25884 30024 34092 38826 51138 51768 68184 77652 99941 102276 131633 155304 199882 204552 263266 299823 394899 399764 526532 599646 680893 789798 799528 899469 1053064 1184697 1199292 1361786 1579596 1798938 2042679 2369394 2398584 2698407 2723572 3159192 3554091 3597876 4085358 4738788 5396814 5447144 6128037 7108182 7195752 8170716 9477576 10793628 12256074 14216364 16341432 18384111 21587256 24512148 28432728 36768222 49024296 73536444 94644127 147072888 189288254 283932381 378576508 567864762 757153016 851797143 1135729524 1703594286 2271459048 2555391429 3407188572 5110782858 6814377144 10221565716 20443131432