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114505543380 = 22358382727803
BaseRepresentation
bin110101010100100001…
…1111110111011010100
3101221120002101021222010
41222221003332323110
53334001404342010
6124334135104220
711162361026304
oct1525103767324
9357502337863
10114505543380
114461a437588
121a237812070
13aa4aa948c7
145783733604
152ea292d620
hex1aa90feed4

114505543380 has 96 divisors (see below), whose sum is σ = 324882399744. Its totient is φ = 30129361024.

The previous prime is 114505543363. The next prime is 114505543381. The reversal of 114505543380 is 83345505411.

114505543380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1145055433802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114505543381) 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, 4104559 + ... + 4132361.

It is an arithmetic number, because the mean of its divisors is an integer number (3384191664).

Almost surely, 2114505543380 is an apocalyptic number.

114505543380 is a gapful number since it is divisible by the number (10) 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 114505543380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162441199872).

114505543380 is an abundant number, since it is smaller than the sum of its proper divisors (210376856364).

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

114505543380 is a wasteful number, since it uses less digits than its factorization.

114505543380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28725 (or 28723 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 114505543380 in words is "one hundred fourteen billion, five hundred five million, five hundred forty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 827 830 996 1245 1654 1660 2481 2490 3308 4135 4962 4980 8270 9924 12405 16540 24810 27803 49620 55606 68641 83409 111212 137282 139015 166818 205923 274564 278030 333636 343205 411846 417045 556060 686410 823692 834090 1029615 1372820 1668180 2059230 2307649 4118460 4615298 6922947 9230596 11538245 13845894 22993081 23076490 27691788 34614735 45986162 46152980 68979243 69229470 91972324 114965405 137958486 138458940 229930810 275916972 344896215 459861620 689792430 1379584860 1908425723 3816851446 5725277169 7633702892 9542128615 11450554338 19084257230 22901108676 28626385845 38168514460 57252771690 114505543380