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242435055000 = 2335421137649
BaseRepresentation
bin1110000111001001000…
…0010101110110011000
3212011202201022211111010
43201302100111312120
512433001333230000
6303212332333520
723341523652345
oct3416220256630
9764681284433
10242435055000
11938a82a5096
123ab9b0142a0
1319b27a12188
14ba3bc357cc
15648db08d50
hex3872415d98

242435055000 has 160 divisors (see below), whose sum is σ = 757824606000. Its totient is φ = 64610304000.

The previous prime is 242435054993. The next prime is 242435055001. The reversal of 242435055000 is 550534242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242435055001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31691176 + ... + 31698824.

Almost surely, 2242435055000 is an apocalyptic number.

242435055000 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 242435055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378912303000).

242435055000 is an abundant number, since it is smaller than the sum of its proper divisors (515389551000).

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

242435055000 is a wasteful number, since it uses less digits than its factorization.

242435055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9791 (or 9772 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 242435055000 its reverse (550534242), we get a palindrome (242985589242).

The spelling of 242435055000 in words is "two hundred forty-two billion, four hundred thirty-five million, fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2113 2500 3000 3750 4226 5000 6339 7500 7649 8452 10565 12678 15000 15298 16904 21130 22947 25356 30596 31695 38245 42260 45894 50712 52825 61192 63390 76490 84520 91788 105650 114735 126780 152980 158475 183576 191225 211300 229470 253560 264125 305960 316950 382450 422600 458940 528250 573675 633900 764900 792375 917880 956125 1056500 1147350 1267800 1320625 1529800 1584750 1912250 2113000 2294700 2641250 2868375 3169500 3824500 3961875 4589400 4780625 5282500 5736750 6339000 7649000 7923750 9561250 10565000 11473500 14341875 15847500 16162337 19122500 22947000 28683750 31695000 32324674 38245000 48487011 57367500 64649348 80811685 96974022 114735000 129298696 161623370 193948044 242435055 323246740 387896088 404058425 484870110 646493480 808116850 969740220 1212175275 1616233700 1939480440 2020292125 2424350550 3232467400 4040584250 4848701100 6060876375 8081168500 9697402200 10101460625 12121752750 16162337000 20202921250 24243505500 30304381875 40405842500 48487011000 60608763750 80811685000 121217527500 242435055000