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33141414000 = 243535523569
BaseRepresentation
bin11110110111011000…
…011101100001110000
310011112200102021020210
4132313120131201300
51020333200222000
623120331304120
72252163241152
oct366730354160
9104480367223
1033141414000
1113067511952
12650abab040
133182160456
141865742ad2
15cde803350
hex7b761d870

33141414000 has 80 divisors (see below), whose sum is σ = 106847938080. Its totient is φ = 8837708800.

The previous prime is 33141413971. The next prime is 33141414023. The reversal of 33141414000 is 41414133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2755785 + ... + 2767784.

It is an arithmetic number, because the mean of its divisors is an integer number (1335599226).

Almost surely, 233141414000 is an apocalyptic number.

33141414000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33141414000 is an abundant number, since it is smaller than the sum of its proper divisors (73706524080).

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

33141414000 is a wasteful number, since it uses less digits than its factorization.

33141414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523595 (or 5523579 counting only the distinct ones).

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

Adding to 33141414000 its reverse (41414133), we get a palindrome (33182828133).

The spelling of 33141414000 in words is "thirty-three billion, one hundred forty-one million, four hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 5523569 11047138 16570707 22094276 27617845 33141414 44188552 55235690 66282828 82853535 88377104 110471380 132565656 138089225 165707070 220942760 265131312 276178450 331414140 414267675 441885520 552356900 662828280 690446125 828535350 1104713800 1325656560 1380892250 1657070700 2071338375 2209427600 2761784500 3314141400 4142676750 5523569000 6628282800 8285353500 11047138000 16570707000 33141414000