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234150412412000 = 255378362514729
BaseRepresentation
bin110101001111010101100100…
…001001111110010001100000
31010201001120010211111201202202
4311033111210021332101200
5221142310021034141000
62145555114154432332
7100214544333306560
oct6517254411762140
91121046124451682
10234150412412000
11686756a5577387
1222317b034326a8
13a08639b341c76
1441b6d24776da0
151c10bc9c18dd5
hexd4f56427e460

234150412412000 has 96 divisors (see below), whose sum is σ = 657494358131520. Its totient is φ = 80280141388800.

The previous prime is 234150412411819. The next prime is 234150412412141. The reversal of 234150412412000 is 214214051432.

It is a happy number.

It is a congruent number.

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, 4181229365 + ... + 4181285364.

It is an arithmetic number, because the mean of its divisors is an integer number (6848899563870).

Almost surely, 2234150412412000 is an apocalyptic number.

234150412412000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234150412412000 is an abundant number, since it is smaller than the sum of its proper divisors (423343945719520).

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

234150412412000 is an equidigital number, since it uses as much as digits as its factorization.

234150412412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8362514761 (or 8362514743 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 234150412412000 its reverse (214214051432), we get a palindrome (234364626463432).

The spelling of 234150412412000 in words is "two hundred thirty-four trillion, one hundred fifty billion, four hundred twelve million, four hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 8362514729 16725029458 33450058916 41812573645 58537603103 66900117832 83625147290 117075206206 133800235664 167250294580 209062868225 234150412412 267600471328 292688015515 334500589160 418125736450 468300824824 585376031030 669001178320 836251472900 936601649648 1045314341125 1170752062060 1338002356640 1463440077575 1672502945800 1873203299296 2090628682250 2341504124120 2926880155150 3345005891600 4181257364500 4683008248240 5853760310300 6690011783200 7317200387875 8362514729000 9366016496480 11707520620600 14634400775750 16725029458000 23415041241200 29268801551500 33450058916000 46830082482400 58537603103000 117075206206000 234150412412000