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2334132330112 = 271129411394251
BaseRepresentation
bin100001111101110101001…
…000001101111010000000
322021010210200202220022201
4201331311020031322000
5301220300334030422
64544141404242544
7330430655310052
oct41756510157200
98233720686281
102334132330112
1181a999938970
12318454240454
1313c1528cc9cb
1480d88b998d2
1540ab1e79727
hex21f7520de80

2334132330112 has 128 divisors (see below), whose sum is σ = 5375678011200. Its totient is φ = 999398400000.

The previous prime is 2334132330097. The next prime is 2334132330137. The reversal of 2334132330112 is 2110332314332.

It is a tau number, because it is divible by the number of its divisors (128).

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, 976987 + ... + 2371237.

Almost surely, 22334132330112 is an apocalyptic number.

2334132330112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334132330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687839005600).

2334132330112 is an abundant number, since it is smaller than the sum of its proper divisors (3041545681088).

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

2334132330112 is a wasteful number, since it uses less digits than its factorization.

2334132330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394346 (or 1394334 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 2334132330112 its reverse (2110332314332), we get a palindrome (4444464644444).

The spelling of 2334132330112 in words is "two trillion, three hundred thirty-four billion, one hundred thirty-two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 41 44 58 64 82 88 116 128 164 176 232 319 328 352 451 464 638 656 704 902 928 1189 1276 1312 1408 1804 1856 2378 2552 2624 3608 3712 4756 5104 5248 7216 9512 10208 13079 14432 19024 20416 26158 28864 38048 40832 52316 57728 76096 104632 152192 209264 418528 837056 1394251 1674112 2788502 5577004 11154008 15336761 22308016 30673522 40433279 44616032 57164291 61347044 80866558 89232064 114328582 122694088 161733116 178464128 228657164 245388176 323466232 444766069 457314328 490776352 628807201 646932464 889532138 914628656 981552704 1257614402 1293864928 1657764439 1779064276 1829257312 1963105408 2515228804 2587729856 3315528878 3558128552 3658514624 5030457608 5175459712 6631057756 7116257104 7317029248 10060915216 13262115512 14232514208 18235408829 20121830432 26524231024 28465028416 36470817658 40243660864 53048462048 56930056832 72941635316 80487321728 106096924096 145883270632 212193848192 291766541264 583533082528 1167066165056 2334132330112