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4112340607104 = 27359181512209
BaseRepresentation
bin111011110101111010100…
…110011110000010000000
3112120010200002100211122020
4323311322212132002000
51014334033143411404
612425103323041440
7603051430262022
oct73657246360200
915503602324566
104112340607104
111346041078514
12564bba670280
1323aa3b1b7752
14103077322012
1571e887e5ed9
hex3bd7a99e080

4112340607104 has 64 divisors (see below), whose sum is σ = 11108547252000. Its totient is φ = 1347546632192.

The previous prime is 4112340607049. The next prime is 4112340607187. The reversal of 4112340607104 is 4017060432114.

4112340607104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×41123406071042 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90733449 + ... + 90778760.

Almost surely, 24112340607104 is an apocalyptic number.

It is an amenable number.

4112340607104 is an abundant number, since it is smaller than the sum of its proper divisors (6996206644896).

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

4112340607104 is a wasteful number, since it uses less digits than its factorization.

4112340607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181512285 (or 181512273 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 4112340607104 in words is "four trillion, one hundred twelve billion, three hundred forty million, six hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 944 1416 1888 2832 3776 5664 7552 11328 22656 181512209 363024418 544536627 726048836 1089073254 1452097672 2178146508 2904195344 4356293016 5808390688 8712586032 10709220331 11616781376 17425172064 21418440662 23233562752 32127660993 34850344128 42836881324 64255321986 69700688256 85673762648 128510643972 171347525296 257021287944 342695050592 514042575888 685390101184 1028085151776 1370780202368 2056170303552 4112340607104