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323308668144 = 2437112371971091
BaseRepresentation
bin1001011010001101011…
…00101100010011110000
31010220111221022001102110
410231012230230103300
520244114004340034
6404305334445320
732233614223140
oct4550654542360
91126457261373
10323308668144
11115129350700
12527ab503840
1324645b32137
1411910a1c920
158623b40de9
hex4b46b2c4f0

323308668144 has 480 divisors, whose sum is σ = 1084013618688. Its totient is φ = 81217382400.

The previous prime is 323308668143. The next prime is 323308668157. The reversal of 323308668144 is 441866803323.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 323308668093 and 323308668102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323308668143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296341039 + ... + 296342129.

Almost surely, 2323308668144 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 323308668144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542006809344).

323308668144 is an abundant number, since it is smaller than the sum of its proper divisors (760704950544).

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

323308668144 is a wasteful number, since it uses less digits than its factorization.

323308668144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 323308668144 in words is "three hundred twenty-three billion, three hundred eight million, six hundred sixty-eight thousand, one hundred forty-four".