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33144131412 = 22327131524331
BaseRepresentation
bin11110110111100010…
…110100111101010100
310011112212112022211200
4132313202310331110
51020334344201122
623120505432500
72252225316510
oct366742647524
9104485468750
1033144131412
1113068aa8547
12650ba9b730
1331828a22a2
141865c4d140
15cdeb8d5ac
hex7b78b4f54

33144131412 has 36 divisors (see below), whose sum is σ = 95749713696. Its totient is φ = 9469751760.

The previous prime is 33144131389. The next prime is 33144131459. The reversal of 33144131412 is 21413144133.

33144131412 is a `hidden beast` number, since 331 + 4 + 4 + 1 + 314 + 12 = 666.

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

It is a super-2 number, since 2×331441314122 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 65761914 + ... + 65762417.

Almost surely, 233144131412 is an apocalyptic number.

It is an amenable number.

33144131412 is an abundant number, since it is smaller than the sum of its proper divisors (62605582284).

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

33144131412 is a wasteful number, since it uses less digits than its factorization.

33144131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131524348 (or 131524343 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 33144131412 its reverse (21413144133), we get a palindrome (54557275545).

The spelling of 33144131412 in words is "thirty-three billion, one hundred forty-four million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 131524331 263048662 394572993 526097324 789145986 920670317 1183718979 1578291972 1841340634 2367437958 2762010951 3682681268 4734875916 5524021902 8286032853 11048043804 16572065706 33144131412