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1240449980112 = 24337866347351
BaseRepresentation
bin10010000011010000100…
…101001001011011010000
311101120211002111000011000
4102003100211021123100
5130310420143330422
62345504352022000
7155422335601140
oct22032045113320
94346732430130
101240449980112
11439087747922
121804a8231900
138cc8795ab95
144407678a920
1522400e59cac
hex120d09496d0

1240449980112 has 160 divisors (see below), whose sum is σ = 4069756661760. Its totient is φ = 354365884800.

The previous prime is 1240449980111. The next prime is 1240449980117. The reversal of 1240449980112 is 2110899440421.

1240449980112 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 449 + 98 + 0 + 112 = 666.

It is a super-2 number, since 2×12404499801122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240449980111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26173237 + ... + 26220587.

It is an arithmetic number, because the mean of its divisors is an integer number (25435979136).

Almost surely, 21240449980112 is an apocalyptic number.

1240449980112 is a gapful number since it is divisible by the number (12) 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 1240449980112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034878330880).

1240449980112 is an abundant number, since it is smaller than the sum of its proper divisors (2829306681648).

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

1240449980112 is a wasteful number, since it uses less digits than its factorization.

1240449980112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56038 (or 56026 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1240449980112 in words is "one trillion, two hundred forty billion, four hundred forty-nine million, nine hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 8663 17326 25989 34652 47351 51978 60641 69304 77967 94702 103956 121282 138608 142053 155934 181923 189404 207912 233901 242564 284106 311868 331457 363846 378808 415824 426159 467802 485128 545769 568212 623736 662914 727692 757616 852318 935604 970256 994371 1091538 1136424 1247472 1278477 1325828 1455384 1637307 1704636 1871208 1988742 2183076 2272848 2556954 2651656 2910768 2983113 3274614 3409272 3742416 3977484 4366152 5113908 5303312 5966226 6549228 6818544 7954968 8732304 8949339 10227816 11932452 13098456 15909936 17898678 20455632 23864904 26196912 35797356 47729808 71594712 143189424 410201713 820403426 1230605139 1640806852 2461210278 2871411991 3281613704 3691815417 4922420556 5742823982 6563227408 7383630834 8614235973 9844841112 11075446251 11485647964 14767261668 17228471946 19689682224 22150892502 22971295928 25842707919 29534523336 34456943892 44301785004 45942591856 51685415838 59069046672 68913887784 77528123757 88603570008 103370831676 137827775568 155056247514 177207140016 206741663352 310112495028 413483326704 620224990056 1240449980112