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42511042240 = 265897731931
BaseRepresentation
bin100111100101110110…
…110000011011000000
311001201200000200212221
4213211312300123000
51144030311322430
631310155100424
73033314616442
oct474566603300
9131650020787
1042511042240
1117035414267
1282a4a41714
134016379a84
1420b3c94492
15118c19457a
hex9e5db06c0

42511042240 has 112 divisors (see below), whose sum is σ = 102552337440. Its totient is φ = 16782909440.

The previous prime is 42511042237. The next prime is 42511042241. The reversal of 42511042240 is 4224011524.

It is not an unprimeable number, because it can be changed into a prime (42511042241) 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 15 ways as a sum of consecutive naturals, for example, 22014075 + ... + 22016005.

It is an arithmetic number, because the mean of its divisors is an integer number (915645870).

Almost surely, 242511042240 is an apocalyptic number.

42511042240 is a gapful number since it is divisible by the number (40) 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 42511042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51276168720).

42511042240 is an abundant number, since it is smaller than the sum of its proper divisors (60041295200).

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

42511042240 is a wasteful number, since it uses less digits than its factorization.

42511042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 42511042240 its reverse (4224011524), we get a palindrome (46735053764).

The spelling of 42511042240 in words is "forty-two billion, five hundred eleven million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 178 320 356 445 712 773 890 1424 1546 1780 1931 2848 3092 3560 3862 3865 5696 6184 7120 7724 7730 9655 12368 14240 15448 15460 19310 24736 28480 30896 30920 38620 49472 61792 61840 68797 77240 123584 123680 137594 154480 171859 247360 275188 308960 343718 343985 550376 617920 687436 687970 859295 1100752 1374872 1375940 1492663 1718590 2201504 2749744 2751880 2985326 3437180 4403008 5499488 5503760 5970652 6874360 7463315 10998976 11007520 11941304 13748720 14926630 22015040 23882608 27497440 29853260 47765216 54994880 59706520 95530432 119413040 132847007 238826080 265694014 477652160 531388028 664235035 1062776056 1328470070 2125552112 2656940140 4251104224 5313880280 8502208448 10627760560 21255521120 42511042240