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323130044240 = 24561221329921
BaseRepresentation
bin1001011001111000000…
…11010010111101010000
31010220001111012000111022
410230330003102331100
520243232242403430
6404235514135012
732226315025553
oct4547403227520
91126044160438
10323130044240
11115047538943
125275b721468
1324617b20713
14118d500269a
15861310a4e5
hex4b3c0d2f50

323130044240 has 80 divisors (see below), whose sum is σ = 763963955856. Its totient is φ = 127071436800.

The previous prime is 323130044221. The next prime is 323130044273. The reversal of 323130044240 is 42440031323.

It can be written as a sum of positive squares in 8 ways, for example, as 692321344 + 322437722896 = 26312^2 + 567836^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10784480 + ... + 10814400.

Almost surely, 2323130044240 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 323130044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381981977928).

323130044240 is an abundant number, since it is smaller than the sum of its proper divisors (440833911616).

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

323130044240 is a wasteful number, since it uses less digits than its factorization.

323130044240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32208 (or 32202 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 323130044240 its reverse (42440031323), we get a palindrome (365570075563).

The spelling of 323130044240 in words is "three hundred twenty-three billion, one hundred thirty million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2213 2440 4426 4880 8852 11065 17704 22130 29921 35408 44260 59842 88520 119684 134993 149605 177040 239368 269986 299210 478736 539972 598420 674965 1079944 1196840 1349930 1825181 2159888 2393680 2699860 3650362 5399720 7300724 9125905 10799440 14601448 18251810 29202896 36503620 66215173 73007240 132430346 146014480 264860692 331075865 529721384 662151730 1059442768 1324303460 2648606920 4039125553 5297213840 8078251106 16156502212 20195627765 32313004424 40391255530 64626008848 80782511060 161565022120 323130044240