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241342243000 = 23532315169491
BaseRepresentation
bin1110000011000100011…
…1100110000010111000
3212001221120000020020121
43200301013212002320
512423232103234000
6302512053503024
723302454134465
oct3406107460270
9761846006217
10241342243000
119339744a281
123a935041a74
13199b24aa161
14b976a4866c
156427be2b1a
hex38311e60b8

241342243000 has 128 divisors (see below), whose sum is σ = 593205949440. Its totient is φ = 91726800000.

The previous prime is 241342242971. The next prime is 241342243003. The reversal of 241342243000 is 342243142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241342243003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3438255 + ... + 3507745.

It is an arithmetic number, because the mean of its divisors is an integer number (4634421480).

Almost surely, 2241342243000 is an apocalyptic number.

241342243000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241342243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296602974720).

241342243000 is an abundant number, since it is smaller than the sum of its proper divisors (351863706440).

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

241342243000 is a wasteful number, since it uses less digits than its factorization.

241342243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69686 (or 69672 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 241342243000 its reverse (342243142), we get a palindrome (241684486142).

The spelling of 241342243000 in words is "two hundred forty-one billion, three hundred forty-two million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 151 184 200 230 250 302 460 500 575 604 755 920 1000 1150 1208 1510 2300 2875 3020 3473 3775 4600 5750 6040 6946 7550 11500 13892 15100 17365 18875 23000 27784 30200 34730 37750 69460 69491 75500 86825 138920 138982 151000 173650 277964 347300 347455 434125 555928 694600 694910 868250 1389820 1598293 1736500 1737275 2779640 3196586 3473000 3474550 6393172 6949100 7991465 8686375 10493141 12786344 13898200 15982930 17372750 20986282 31965860 34745500 39957325 41972564 52465705 63931720 69491000 79914650 83945128 104931410 159829300 199786625 209862820 241342243 262328525 319658600 399573250 419725640 482684486 524657050 799146500 965368972 1049314100 1206711215 1311642625 1598293000 1930737944 2098628200 2413422430 2623285250 4826844860 5246570500 6033556075 9653689720 10493141000 12067112150 24134224300 30167780375 48268448600 60335560750 120671121500 241342243000