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326441442336 = 25319401944531
BaseRepresentation
bin1001100000000010110…
…11010001110000100000
31011012121021011110201020
410300001123101300200
520322023002123321
6405544245005440
732404344322452
oct4600133216040
91135537143636
10326441442336
11116496758289
12533246b3880
1324a24b93a89
1411b2ab082d2
158758bb04c6
hex4c016d1c20

326441442336 has 96 divisors (see below), whose sum is σ = 902253945600. Its totient is φ = 103058807040.

The previous prime is 326441442331. The next prime is 326441442337. The reversal of 326441442336 is 633244144623.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (326441442331) 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 15 ways as a sum of consecutive naturals, for example, 7308391 + ... + 7352921.

It is an arithmetic number, because the mean of its divisors is an integer number (9398478600).

Almost surely, 2326441442336 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 326441442336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451126972800).

326441442336 is an abundant number, since it is smaller than the sum of its proper divisors (575812503264).

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

326441442336 is a wasteful number, since it uses less digits than its factorization.

326441442336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48582 (or 48574 counting only the distinct ones).

The product of its digits is 995328, while the sum is 42.

Adding to 326441442336 its reverse (633244144623), we get a palindrome (959685586959).

The spelling of 326441442336 in words is "three hundred twenty-six billion, four hundred forty-one million, four hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 4019 8038 12057 16076 24114 32152 44531 48228 64304 76361 89062 96456 128608 133593 152722 178124 192912 229083 267186 305444 356248 385824 458166 534372 610888 712496 846089 916332 1068744 1221776 1424992 1692178 1832664 2137488 2443552 2538267 3384356 3665328 4274976 5076534 6768712 7330656 10153068 13537424 20306136 27074848 40612272 81224544 178970089 357940178 536910267 715880356 1073820534 1431760712 2147641068 2863521424 3400431691 4295282136 5727042848 6800863382 8590564272 10201295073 13601726764 17181128544 20402590146 27203453528 40805180292 54406907056 81610360584 108813814112 163220721168 326441442336