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323138425000 = 235541315257
BaseRepresentation
bin1001011001111001000…
…11010001000010101000
31010220002001221210201211
410230330203101002220
520243241414100000
6404240413522504
732226446202346
oct4547443210250
91126061853654
10323138425000
11115051242496
12527624a3434
1324619796251
14118d6184996
158613c137ba
hex4b3c8d10a8

323138425000 has 96 divisors (see below), whose sum is σ = 775780581240. Its totient is φ = 126102400000.

The previous prime is 323138424953. The next prime is 323138425031. The reversal of 323138425000 is 524831323.

It can be written as a sum of positive squares in 12 ways, for example, as 194158321956 + 128980103044 = 440634^2 + 359138^2 .

It is a super-2 number, since 2×3231384250002 (a number of 24 digits) contains 22 as substring.

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, 867372 + ... + 1182628.

Almost surely, 2323138425000 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 323138425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387890290620).

323138425000 is an abundant number, since it is smaller than the sum of its proper divisors (452642156240).

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

323138425000 is an equidigital number, since it uses as much as digits as its factorization.

323138425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315329 (or 315305 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 323138425000 in words is "three hundred twenty-three billion, one hundred thirty-eight million, four hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 625 820 1000 1025 1250 1640 2050 2500 3125 4100 5000 5125 6250 8200 10250 12500 20500 25000 25625 41000 51250 102500 128125 205000 256250 315257 512500 630514 1025000 1261028 1576285 2522056 3152570 6305140 7881425 12610280 12925537 15762850 25851074 31525700 39407125 51702148 63051400 64627685 78814250 103404296 129255370 157628500 197035625 258510740 315257000 323138425 394071250 517021480 646276850 788142500 985178125 1292553700 1576285000 1615692125 1970356250 2585107400 3231384250 3940712500 6462768500 7881425000 8078460625 12925537000 16156921250 32313842500 40392303125 64627685000 80784606250 161569212500 323138425000