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33141412000 = 255312765239
BaseRepresentation
bin11110110111011000…
…011101000010100000
310011112200102011111201
4132313120131002200
51020333200141000
623120331250544
72252163232264
oct366730350240
9104480364451
1033141412000
11130675103a4
12650aba9a54
13318215c578
1418657420a4
15cde80296a
hex7b761d0a0

33141412000 has 96 divisors (see below), whose sum is σ = 82070876160. Its totient is φ = 13151980800.

The previous prime is 33141411983. The next prime is 33141412037. The reversal of 33141412000 is 21414133.

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 15 ways as a sum of consecutive naturals, for example, 475381 + ... + 540619.

It is an arithmetic number, because the mean of its divisors is an integer number (854904960).

Almost surely, 233141412000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33141412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41035438080).

33141412000 is an abundant number, since it is smaller than the sum of its proper divisors (48929464160).

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

33141412000 is a wasteful number, since it uses less digits than its factorization.

33141412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65391 (or 65373 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 33141412000 its reverse (21414133), we get a palindrome (33162826133).

The spelling of 33141412000 in words is "thirty-three billion, one hundred forty-one million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 127 160 200 250 254 400 500 508 635 800 1000 1016 1270 2000 2032 2540 3175 4000 4064 5080 6350 10160 12700 15875 20320 25400 31750 50800 63500 65239 101600 127000 130478 254000 260956 326195 508000 521912 652390 1043824 1304780 1630975 2087648 2609560 3261950 5219120 6523900 8154875 8285353 10438240 13047800 16309750 16570706 26095600 32619500 33141412 41426765 52191200 65239000 66282824 82853530 130478000 132565648 165707060 207133825 260956000 265131296 331414120 414267650 662828240 828535300 1035669125 1325656480 1657070600 2071338250 3314141200 4142676500 6628282400 8285353000 16570706000 33141412000