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8023143128 = 2371121391081
BaseRepresentation
bin1110111100011011…
…10111001011011000
3202201010221220022012
413132031313023120
5112412411040003
63404043445052
7402551406560
oct73615671330
922633856265
108023143128
113447945200
12167ab26788
139ab287090
145617adda0
1531e56c8d8
hex1de3772d8

8023143128 has 96 divisors (see below), whose sum is σ = 20351362080. Its totient is φ = 2885414400.

The previous prime is 8023143119. The next prime is 8023143133. The reversal of 8023143128 is 8213413208.

It is a junction number, because it is equal to n+sod(n) for n = 8023143094 and 8023143103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42548 + ... + 133628.

It is an arithmetic number, because the mean of its divisors is an integer number (211993355).

Almost surely, 28023143128 is an apocalyptic number.

8023143128 is a gapful number since it is divisible by the number (88) 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 8023143128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10175681040).

8023143128 is an abundant number, since it is smaller than the sum of its proper divisors (12328218952).

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

8023143128 is a wasteful number, since it uses less digits than its factorization.

8023143128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91129 (or 91114 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 8023143128 is about 89571.9996874023. Note that the first 3 decimals coincide. The cubic root of 8023143128 is about 2001.9267372457.

It can be divided in two parts, 8023 and 143128, that added together give a palindrome (151151).

The spelling of 8023143128 in words is "eight billion, twenty-three million, one hundred forty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 121 143 154 182 242 286 308 364 484 572 616 728 847 968 1001 1144 1573 1694 2002 3146 3388 4004 6292 6776 8008 11011 12584 22022 44044 88088 91081 182162 364324 637567 728648 1001891 1184053 1275134 2003782 2368106 2550268 4007564 4736212 5100536 7013237 8015128 8288371 9472424 11020801 13024583 14026474 16576742 22041602 26049166 28052948 33153484 44083204 52098332 56105896 66306968 77145607 88166408 91172081 104196664 143270413 154291214 182344162 286540826 308582428 364688324 573081652 617164856 729376648 1002892891 1146163304 2005785782 4011571564 8023143128