Search a number
-
+
243333334000 = 2453637919073
BaseRepresentation
bin1110001010011111001…
…1000000001111110000
3212021002022121010121201
43202213303000033300
512441321313142000
6303441421500544
723403012132511
oct3424763001760
9767068533551
10243333334000
1194219361429
123b1aba11754
1319c3bb55403
14bac5264a08
1564e28e596a
hex38a7cc03f0

243333334000 has 80 divisors (see below), whose sum is σ = 588503092320. Its totient is φ = 97312972800.

The previous prime is 243333333977. The next prime is 243333334019. The reversal of 243333334000 is 433333342.

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

It is a super-2 number, since 2×2433333340002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 243333334000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12748464 + ... + 12767536.

It is an arithmetic number, because the mean of its divisors is an integer number (7356288654).

Almost surely, 2243333334000 is an apocalyptic number.

243333334000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243333334000 is an abundant number, since it is smaller than the sum of its proper divisors (345169758320).

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

243333334000 is a wasteful number, since it uses less digits than its factorization.

243333334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25475 (or 25459 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 28.

Adding to 243333334000 its reverse (433333342), we get a palindrome (243766667342).

The spelling of 243333334000 in words is "two hundred forty-three billion, three hundred thirty-three million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6379 12758 19073 25516 31895 38146 51032 63790 76292 95365 102064 127580 152584 159475 190730 255160 305168 318950 381460 476825 510320 637900 762920 797375 953650 1275800 1525840 1594750 1907300 2384125 2551600 3189500 3814600 4768250 6379000 7629200 9536500 12758000 19073000 38146000 121666667 243333334 486666668 608333335 973333336 1216666670 1946666672 2433333340 3041666675 4866666680 6083333350 9733333360 12166666700 15208333375 24333333400 30416666750 48666666800 60833333500 121666667000 243333334000