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114053542725 = 352174115114449
BaseRepresentation
bin110101000111000011…
…1101111001101000101
3101220101120212021122010
41222032013233031011
53332040201331400
6124221231124433
711145232055163
oct1521607571505
9356346767563
10114053542725
1144408284821
121a130373719
13a9a82473b5
14573d6b4233
152e77de7450
hex1a8e1ef345

114053542725 has 96 divisors (see below), whose sum is σ = 205899321600. Its totient is φ = 55480320000.

The previous prime is 114053542723. The next prime is 114053542769. The reversal of 114053542725 is 527245350411.

It is not a de Polignac number, because 114053542725 - 21 = 114053542723 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114053542721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7886301 + ... + 7900749.

It is an arithmetic number, because the mean of its divisors is an integer number (2144784600).

Almost surely, 2114053542725 is an apocalyptic number.

114053542725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114053542725 is a deficient number, since it is larger than the sum of its proper divisors (91845778875).

114053542725 is a wasteful number, since it uses less digits than its factorization.

114053542725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14671 (or 14666 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 114053542725 in words is "one hundred fourteen billion, fifty-three million, five hundred forty-two thousand, seven hundred twenty-five".

Divisors: 1 3 5 15 17 25 41 51 75 85 123 151 205 255 425 453 615 697 755 1025 1275 2091 2265 2567 3075 3485 3775 6191 7701 10455 11325 12835 14449 17425 18573 30955 38505 43347 52275 64175 72245 92865 105247 154775 192525 216735 245633 315741 361225 464325 526235 592409 736899 1083675 1228165 1578705 1777227 2181799 2631175 2962045 3684495 6140825 6545397 7893525 8886135 10070953 10908995 14810225 18422475 30212859 32726985 37090583 44430675 50354765 54544975 89453759 111271749 151064295 163634925 185452915 251773825 268361277 447268795 556358745 755321475 927264575 1341806385 1520713903 2236343975 2781793725 4562141709 6709031925 7603569515 22810708545 38017847575 114053542725