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234323234422320 = 24355687317167141
BaseRepresentation
bin110101010001110110100001…
…001001100111111000110000
31010201200002020002121111021210
4311101312201021213320300
5221203122441003003240
62150210335142120120
7100233203122204221
oct6521664111477060
91121602202544253
10234323234422320
1168731a2004568a
12223454b5120040
13a099780b31734
1441c143b123248
151c1544219a780
hexd51da1267e30

234323234422320 has 80 divisors (see below), whose sum is σ = 726414841376352. Its totient is φ = 62485093509120.

The previous prime is 234323234422309. The next prime is 234323234422339. The reversal of 234323234422320 is 23224432323432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2343232344223203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5065950 + ... + 22233090.

Almost surely, 2234323234422320 is an apocalyptic number.

234323234422320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234323234422320 is an abundant number, since it is smaller than the sum of its proper divisors (492091606954032).

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

234323234422320 is a wasteful number, since it uses less digits than its factorization.

234323234422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17224030 (or 17224024 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 39.

Adding to 234323234422320 its reverse (23224432323432), we get a palindrome (257547666745752).

The spelling of 234323234422320 in words is "two hundred thirty-four trillion, three hundred twenty-three billion, two hundred thirty-four million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 56873 113746 170619 227492 284365 341238 454984 568730 682476 853095 909968 1137460 1364952 1706190 2274920 2729904 3412380 4549840 6824760 13649520 17167141 34334282 51501423 68668564 85835705 103002846 137337128 171671410 206005692 257507115 274674256 343342820 412011384 515014230 686685640 824022768 1030028460 1373371280 2060056920 4120113840 976346810093 1952693620186 2929040430279 3905387240372 4881734050465 5858080860558 7810774480744 9763468100930 11716161721116 14645202151395 15621548961488 19526936201860 23432323442232 29290404302790 39053872403720 46864646884464 58580808605580 78107744807440 117161617211160 234323234422320