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1114340333112 = 233229253347227
BaseRepresentation
bin10000001101110011110…
…111000001011000111000
310221112022021221011120100
4100031303313001120320
5121224132111124422
62211530524355400
7143336251355616
oct20156367013070
93845267834510
101114340333112
1139a653081566
1215bb723a5b60
138110aa67296
143bd11c526b6
151debe90d7ac
hex10373dc1638

1114340333112 has 144 divisors (see below), whose sum is σ = 3184646741640. Its totient is φ = 351870494976.

The previous prime is 1114340333111. The next prime is 1114340333143. The reversal of 1114340333112 is 2113330434111.

1114340333112 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 340 + 3 + 3 + 311 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114340333111) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3035643 + ... + 3382869.

Almost surely, 21114340333112 is an apocalyptic number.

1114340333112 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 1114340333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592323370820).

1114340333112 is an abundant number, since it is smaller than the sum of its proper divisors (2070306408528).

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

1114340333112 is a wasteful number, since it uses less digits than its factorization.

1114340333112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347350 (or 347314 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1114340333112 its reverse (2113330434111), we get a palindrome (3227670767223).

The spelling of 1114340333112 in words is "one trillion, one hundred fourteen billion, three hundred forty million, three hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 53 58 72 87 106 116 159 174 212 232 261 318 348 424 477 522 636 696 841 954 1044 1272 1537 1682 1908 2088 2523 3074 3364 3816 4611 5046 6148 6728 7569 9222 10092 12296 13833 15138 18444 20184 27666 30276 36888 44573 55332 60552 89146 110664 133719 178292 267438 347227 356584 401157 534876 694454 802314 1041681 1069752 1388908 1604628 2083362 2777816 3125043 3209256 4166724 6250086 8333448 10069583 12500172 18403031 20139166 25000344 30208749 36806062 40278332 55209093 60417498 73612124 80556664 90626247 110418186 120834996 147224248 165627279 181252494 220836372 241669992 292017907 331254558 362504988 441672744 533687899 584035814 662509116 725009976 876053721 1067375798 1168071628 1325018232 1601063697 1752107442 2134751596 2336143256 2628161163 3202127394 3504214884 4269503192 4803191091 5256322326 6404254788 7008429768 9606382182 10512644652 12808509576 15476949071 19212764364 21025289304 30953898142 38425528728 46430847213 61907796284 92861694426 123815592568 139292541639 185723388852 278585083278 371446777704 557170166556 1114340333112