Search a number
-
+
321241452034340 = 2251729457202735171
BaseRepresentation
bin100100100001010101101101…
…0101000101011100100100100
31120010102101100010102201122102
41021002223122220223210210
5314101204443210044330
63055120141415551232
7124443633435631055
oct11102533250534444
91503371303381572
10321241452034340
11933a2809a20572
12300428b438b518
1310a32c28b22906
14594825256472c
1527213625d9945
hex1242adaa2b924

321241452034340 has 192 divisors, whose sum is σ = 740923796471040. Its totient is φ = 116451383623680.

The previous prime is 321241452034339. The next prime is 321241452034417. The reversal of 321241452034340 is 43430254142123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 321241452034294 and 321241452034303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9133684955 + ... + 9133720125.

It is an arithmetic number, because the mean of its divisors is an integer number (3858978106620).

Almost surely, 2321241452034340 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 321241452034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370461898235520).

321241452034340 is an abundant number, since it is smaller than the sum of its proper divisors (419682344436700).

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

321241452034340 is a wasteful number, since it uses less digits than its factorization.

321241452034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37710 (or 37708 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

The spelling of 321241452034340 in words is "three hundred twenty-one trillion, two hundred forty-one billion, four hundred fifty-two million, thirty-four thousand, three hundred forty".