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33021412140 = 223519172116831
BaseRepresentation
bin11110110000001110…
…101100001100101100
310011020022121112122110
4132300032230030230
51020111440142030
623100403244020
72246205241413
oct366016541454
9104208545573
1033021412140
11130057a9762
126496979610
133163335732
14185382647a
15cd3eec1b0
hex7b03ac32c

33021412140 has 96 divisors (see below), whose sum is σ = 97388605440. Its totient is φ = 8336908800.

The previous prime is 33021412129. The next prime is 33021412183. The reversal of 33021412140 is 4121412033.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1953525 + ... + 1970355.

It is an arithmetic number, because the mean of its divisors is an integer number (1014464640).

Almost surely, 233021412140 is an apocalyptic number.

33021412140 is a gapful number since it is divisible by the number (30) 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 33021412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48694302720).

33021412140 is an abundant number, since it is smaller than the sum of its proper divisors (64367193300).

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

33021412140 is a wasteful number, since it uses less digits than its factorization.

33021412140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18583 (or 18581 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 33021412140 its reverse (4121412033), we get a palindrome (37142824173).

The spelling of 33021412140 in words is "thirty-three billion, twenty-one million, four hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1721 3442 5163 6884 8605 10326 16831 17210 20652 25815 32699 33662 34420 50493 51630 65398 67324 84155 98097 100986 103260 130796 163495 168310 196194 201972 252465 319789 326990 336620 392388 490485 504930 639578 653980 959367 980970 1009860 1279156 1598945 1918734 1961940 3197890 3837468 4796835 6395780 9593670 19187340 28966151 57932302 86898453 115864604 144830755 173796906 289661510 347593812 434492265 550356869 579323020 868984530 1100713738 1651070607 1737969060 2201427476 2751784345 3302141214 5503568690 6604282428 8255353035 11007137380 16510706070 33021412140