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4132142330112 = 283214391246327
BaseRepresentation
bin111100001000010110111…
…000000011000100000000
3112122000210002210120222200
4330020112320003010000
51020200111414030422
612442140250433200
7604352224165626
oct74102670030400
915560702716880
104132142330112
111353482691055
12568a06132800
1323c87578c404
14103dd5153516
1572746e482ac
hex3c216e03100

4132142330112 has 108 divisors (see below), whose sum is σ = 11922273941760. Its totient is φ = 1376422493184.

The previous prime is 4132142330093. The next prime is 4132142330167. The reversal of 4132142330112 is 2110332412314.

4132142330112 is a `hidden beast` number, since 4 + 1 + 3 + 214 + 2 + 330 + 112 = 666.

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, 2692293 + ... + 3938619.

Almost surely, 24132142330112 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 4132142330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961136970880).

4132142330112 is an abundant number, since it is smaller than the sum of its proper divisors (7790131611648).

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

4132142330112 is a wasteful number, since it uses less digits than its factorization.

4132142330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247788 (or 1247771 counting only the distinct ones).

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

Adding to 4132142330112 its reverse (2110332412314), we get a palindrome (6242474742426).

The spelling of 4132142330112 in words is "four trillion, one hundred thirty-two billion, one hundred forty-two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1439 2304 2878 4317 5756 8634 11512 12951 17268 23024 25902 34536 46048 51804 69072 92096 103608 138144 184192 207216 276288 368384 414432 552576 828864 1105152 1246327 1657728 2492654 3315456 3738981 4985308 7477962 9970616 11216943 14955924 19941232 22433886 29911848 39882464 44867772 59823696 79764928 89735544 119647392 159529856 179471088 239294784 319059712 358942176 478589568 717884352 957179136 1435768704 1793464553 2871537408 3586929106 5380393659 7173858212 10760787318 14347716424 16141180977 21521574636 28695432848 32282361954 43043149272 57390865696 64564723908 86086298544 114781731392 129129447816 172172597088 229563462784 258258895632 344345194176 459126925568 516517791264 688690388352 1033035582528 1377380776704 2066071165056 4132142330112