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322334100104140 = 225194235592002667
BaseRepresentation
bin100100101001010010100000…
…1100010010010001111001100
31120021021211122122112202010001
41021102211001202102033030
5314222110214111313030
63101314124044054044
7124615604326162555
oct11122450142221714
91507254578482101
10322334100104140
1193784140304593
123019a611b34324
1310ab1c8a714317
1459850a746132c
15273e9b2905cca
hex12529418923cc

322334100104140 has 48 divisors (see below), whose sum is σ = 712530048787200. Its totient is φ = 122147309610432.

The previous prime is 322334100104131. The next prime is 322334100104231. The reversal of 322334100104140 is 41401001433223.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 322334100104099 and 322334100104108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159951087 + ... + 161953753.

It is an arithmetic number, because the mean of its divisors is an integer number (14844376016400).

Almost surely, 2322334100104140 is an apocalyptic number.

It is an amenable number.

322334100104140 is an abundant number, since it is smaller than the sum of its proper divisors (390195948683060).

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

322334100104140 is a wasteful number, since it uses less digits than its factorization.

322334100104140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426254 (or 2426252 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 322334100104140 its reverse (41401001433223), we get a palindrome (363735101537363).

The spelling of 322334100104140 in words is "three hundred twenty-two trillion, three hundred thirty-four billion, one hundred million, one hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 423559 847118 1694236 2002667 2117795 4005334 4235590 8010668 8047621 8471180 10013335 16095242 20026670 32190484 38050673 40053340 40238105 76101346 80476210 152202692 160952420 190253365 380506730 761013460 848247631853 1696495263706 3392990527412 4241238159265 8482476318530 16116705005207 16964952637060 32233410010414 64466820020828 80583525026035 161167050052070 322334100104140