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33424143132420 = 22325185689684069
BaseRepresentation
bin1111001100110001010100…
…01011011010011100000100
311101100022120000002121101200
413212120222023122130010
513340110121120214140
6155030501150022500
710016546265652425
oct746305213323404
9141308500077350
1033424143132420
11a717110483927
1238b99a5aa7a30
131585b6343c851
14837a46a9d64c
153ce68a77c030
hex1e662a2da704

33424143132420 has 36 divisors (see below), whose sum is σ = 101386567502220. Its totient is φ = 8913104835264.

The previous prime is 33424143132293. The next prime is 33424143132439. The reversal of 33424143132420 is 2423134142433.

33424143132420 is a `hidden beast` number, since 3 + 34 + 241 + 43 + 1 + 324 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17878487063616 + 15545656068804 = 4228296^2 + 3942798^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×334241431324202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92844841855 + ... + 92844842214.

Almost surely, 233424143132420 is an apocalyptic number.

33424143132420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33424143132420 is an abundant number, since it is smaller than the sum of its proper divisors (67962424369800).

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

33424143132420 is a wasteful number, since it uses less digits than its factorization.

33424143132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185689684084 (or 185689684079 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 33424143132420 its reverse (2423134142433), we get a palindrome (35847277274853).

The spelling of 33424143132420 in words is "thirty-three trillion, four hundred twenty-four billion, one hundred forty-three million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 185689684069 371379368138 557069052207 742758736276 928448420345 1114138104414 1671207156621 1856896840690 2228276208828 2785345261035 3342414313242 3713793681380 5570690522070 6684828626484 8356035783105 11141381044140 16712071566210 33424143132420