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132242134416 = 24373131257437
BaseRepresentation
bin111101100101000111…
…1101101010110010000
3110122100011220110211020
41323022033231112100
54131312441300131
6140430131515440
712361040411250
oct1731217552620
9418304813736
10132242134416
11510a1267987
1221767758b80
13c6165693a2
146587193960
15368eb04996
hex1eca3ed590

132242134416 has 80 divisors (see below), whose sum is σ = 391676847744. Its totient is φ = 37662723072.

The previous prime is 132242134369. The next prime is 132242134439. The reversal of 132242134416 is 614431242231.

It is a super-2 number, since 2×1322421344162 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523551 + ... + 733886.

Almost surely, 2132242134416 is an apocalyptic number.

132242134416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132242134416 is an abundant number, since it is smaller than the sum of its proper divisors (259434713328).

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

132242134416 is a wasteful number, since it uses less digits than its factorization.

132242134416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257768 (or 1257762 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 132242134416 its reverse (614431242231), we get a palindrome (746673376647).

The spelling of 132242134416 in words is "one hundred thirty-two billion, two hundred forty-two million, one hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 313 336 626 939 1252 1878 2191 2504 3756 4382 5008 6573 7512 8764 13146 15024 17528 26292 35056 52584 105168 1257437 2514874 3772311 5029748 7544622 8802059 10059496 15089244 17604118 20118992 26406177 30178488 35208236 52812354 60356976 70416472 105624708 140832944 211249416 393577781 422498832 787155562 1180733343 1574311124 2361466686 2755044467 3148622248 4722933372 5510088934 6297244496 8265133401 9445866744 11020177868 16530266802 18891733488 22040355736 33060533604 44080711472 66121067208 132242134416