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322144013420244 = 2232193138797334049
BaseRepresentation
bin100100100111111001111111…
…1011111001000011011010100
31120020121200000011220200210100
41021033303333133020123110
5314211001414413421434
63101050530002454100
7124566064651056021
oct11117637737103324
91506550004820710
10322144013420244
1193710566331514
1230169802364330
1310a9a086151b82
145979bd3bba548
152739a8991a699
hex124fcff7c86d4

322144013420244 has 72 divisors (see below), whose sum is σ = 818536040922600. Its totient is φ = 106823868383232.

The previous prime is 322144013420111. The next prime is 322144013420249. The reversal of 322144013420244 is 442024310441223.

322144013420244 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 4 + 401 + 3 + 4 + 2 + 0 + 244 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134113770562500 + 188030242857744 = 11580750^2 + 13712412^2 .

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 = 322144013420199 and 322144013420208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322144013420249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964194532 + ... + 964528580.

It is an arithmetic number, because the mean of its divisors is an integer number (11368556123925).

Almost surely, 2322144013420244 is an apocalyptic number.

It is an amenable number.

322144013420244 is an abundant number, since it is smaller than the sum of its proper divisors (496392027502356).

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

322144013420244 is a wasteful number, since it uses less digits than its factorization.

322144013420244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473049 (or 473044 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 322144013420244 its reverse (442024310441223), we get a palindrome (764168323861467).

The spelling of 322144013420244 in words is "three hundred twenty-two trillion, one hundred forty-four billion, thirteen million, four hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 579 772 1158 1737 2316 3474 6948 138797 277594 334049 416391 555188 668098 832782 1002147 1249173 1336196 1665564 2004294 2498346 3006441 4008588 4996692 6012882 12025764 26787821 53575642 64471457 80363463 107151284 128942914 160726926 193414371 241090389 257885828 321453852 386828742 482180778 580243113 773657484 964361556 1160486226 2320972452 46364999053 92729998106 139094997159 185459996212 278189994318 417284991477 556379988636 834569982954 1669139965908 8948444817229 17896889634458 26845334451687 35793779268916 53690668903374 80536003355061 107381337806748 161072006710122 322144013420244