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114126050025 = 32521323273757
BaseRepresentation
bin110101001001001110…
…0010101001011101001
3101220120122022000221200
41222102130111023221
53332212232100100
6124232341154413
711150102263551
oct1522234251351
9356518260850
10114126050025
11444451a8609
121a1506bba09
13a9ba283220
14574918a161
152e7e46ae00
hex1a927152e9

114126050025 has 108 divisors (see below), whose sum is σ = 230126877708. Its totient is φ = 53741571840.

The previous prime is 114126050023. The next prime is 114126050081. The reversal of 114126050025 is 520050621411.

114126050025 is a `hidden beast` number, since 1 + 14 + 126 + 0 + 500 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 27400511961 + 86725538064 = 165531^2 + 294492^2 .

It is not a de Polignac number, because 114126050025 - 21 = 114126050023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114126050023) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1510447 + ... + 1584203.

Almost surely, 2114126050025 is an apocalyptic number.

114126050025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114126050025 is an abundant number, since it is smaller than the sum of its proper divisors (116000827683).

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

114126050025 is a wasteful number, since it uses less digits than its factorization.

114126050025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73832 (or 73801 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 114126050025 its reverse (520050621411), we get a palindrome (634176671436).

The spelling of 114126050025 in words is "one hundred fourteen billion, one hundred twenty-six million, fifty thousand, twenty-five".

Divisors: 1 3 5 9 13 15 23 25 39 45 65 69 75 115 117 195 207 225 299 325 345 529 575 585 897 975 1035 1495 1587 1725 2645 2691 2925 4485 4761 5175 6877 7475 7935 13225 13455 20631 22425 23805 34385 39675 61893 67275 73757 103155 119025 171925 221271 309465 368785 515775 663813 958841 1106355 1547325 1696411 1843925 2876523 3319065 4794205 5089233 5531775 8482055 8629569 14382615 15267699 16595325 22053343 23971025 25446165 39017453 42410275 43147845 66160029 71913075 76338495 110266715 117052359 127230825 195087265 198480087 215739225 330800145 351157077 381692475 507226889 551333575 585261795 975436325 992400435 1521680667 1654000725 1755785385 2536134445 2926308975 4565042001 4962002175 7608403335 8778926925 12680672225 22825210005 38042016675 114126050025