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242033503000 = 2353472109567
BaseRepresentation
bin1110000101101001010…
…0100010101100011000
3212010201201201212200211
43201122110202230120
512431141034044000
6303104425540504
723325546554662
oct3413224425430
9763651655624
10242033503000
119371166a133
123aaa8644734
1319a92779343
14ba00789532
15646873a7ba
hex385a522b18

242033503000 has 96 divisors (see below), whose sum is σ = 578670243840. Its totient is φ = 94752676800.

The previous prime is 242033502989. The next prime is 242033503001. The reversal of 242033503000 is 305330242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242033503001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2154217 + ... + 2263783.

It is an arithmetic number, because the mean of its divisors is an integer number (6027815040).

Almost surely, 2242033503000 is an apocalyptic number.

242033503000 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 242033503000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289335121920).

242033503000 is an abundant number, since it is smaller than the sum of its proper divisors (336636740840).

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

242033503000 is a wasteful number, since it uses less digits than its factorization.

242033503000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109682 (or 109621 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

Adding to 242033503000 its reverse (305330242), we get a palindrome (242338833242).

The spelling of 242033503000 in words is "two hundred forty-two billion, thirty-three million, five hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1880 2209 2350 4418 4700 5875 8836 9400 11045 11750 17672 22090 23500 44180 47000 55225 88360 109567 110450 219134 220900 276125 438268 441800 547835 552250 876536 1095670 1104500 2191340 2209000 2739175 4382680 5149649 5478350 10299298 10956700 13695875 20598596 21913400 25748245 27391750 41197192 51496490 54783500 102992980 109567000 128741225 205985960 242033503 257482450 484067006 514964900 643706125 968134012 1029929800 1210167515 1287412250 1936268024 2420335030 2574824500 4840670060 5149649000 6050837575 9681340120 12101675150 24203350300 30254187875 48406700600 60508375750 121016751500 242033503000