Search a number
-
+
12240737961408 = 2632112175630423
BaseRepresentation
bin1011001000100000010011…
…0101101000010111000000
31121100012111002000122112100
42302020010311220113000
53101023012404231113
642011152320030400
72402235616636215
oct262100465502700
947305432018470
1012240737961408
11399a2a4511400
121458406462400
136aa3b1932368
14304652287b0c
15163622a4bd73
hexb2204d685c0

12240737961408 has 126 divisors (see below), whose sum is σ = 38565455393192. Its totient is φ = 3709314512640.

The previous prime is 12240737961341. The next prime is 12240737961437. The reversal of 12240737961408 is 80416973704221.

12240737961408 is a `hidden beast` number, since 1 + 2 + 2 + 40 + 73 + 79 + 61 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 87745516 + ... + 87884907.

Almost surely, 212240737961408 is an apocalyptic number.

12240737961408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12240737961408 is an abundant number, since it is smaller than the sum of its proper divisors (26324717431784).

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

12240737961408 is a wasteful number, since it uses less digits than its factorization.

12240737961408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175630463 (or 175630439 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12240737961408 in words is "twelve trillion, two hundred forty billion, seven hundred thirty-seven million, nine hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 17424 23232 34848 69696 175630423 351260846 526891269 702521692 1053782538 1405043384 1580673807 1931934653 2107565076 2810086768 3161347614 3863869306 4215130152 5620173536 5795803959 6322695228 7727738612 8430260304 11240347072 11591607918 12645390456 15455477224 16860520608 17387411877 21251281183 23183215836 25290780912 30910954448 33721041216 34774823754 42502562366 46366431672 50581561824 61821908896 63753843549 69549647508 85005124732 92732863344 101163123648 123643817792 127507687098 139099295016 170010249464 185465726688 191261530647 255015374196 278198590032 340020498928 370931453376 382523061294 510030748392 556397180064 680040997856 765046122588 1020061496784 1112794360128 1360081995712 1530092245176 2040122993568 3060184490352 4080245987136 6120368980704 12240737961408