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323050522325040 = 243254679531008157
BaseRepresentation
bin100100101110100000000111…
…1101000001011000000110000
31120100211022212100100101211200
41021131000033220023000300
5314320324432203400130
63103023210002411200
7125021426045450256
oct11135001750130060
91510738770311750
10323050522325040
1193a2aa58a40874
1230295432360b00
1310b346c2259023
1459aba2b8045d6
1527534435a6760
hex125d00fa0b030

323050522325040 has 240 divisors, whose sum is σ = 1088376422316768. Its totient is φ = 85872050417664.

The previous prime is 323050522324987. The next prime is 323050522325053. The reversal of 323050522325040 is 40523225050323.

323050522325040 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 50 + 522 + 32 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3230505223250402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 323050522324986 and 323050522325004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319932642 + ... + 320940798.

Almost surely, 2323050522325040 is an apocalyptic number.

323050522325040 is a gapful number since it is divisible by the number (30) 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 323050522325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544188211158384).

323050522325040 is an abundant number, since it is smaller than the sum of its proper divisors (765325899991728).

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

323050522325040 is a wasteful number, since it uses less digits than its factorization.

323050522325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009596 (or 1009587 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 323050522325040 its reverse (40523225050323), we get a palindrome (363573747375363).

The spelling of 323050522325040 in words is "three hundred twenty-three trillion, fifty billion, five hundred twenty-two million, three hundred twenty-five thousand, forty".