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114241014235125 = 3353532332741047
BaseRepresentation
bin11001111110011011001111…
…000100100111111111110101
3112222111100000201001012002000
4121332123033010213333311
5104433211044121011000
61042545333013205513
733030432554650341
oct3176331704477765
9488440021035060
10114241014235125
1133445384307948
1210990810630899
134b98b5c620c2b
14202d41a504621
15d31a0e6bd000
hex67e6cf127ff5

114241014235125 has 128 divisors (see below), whose sum is σ = 216127906974720. Its totient is φ = 59522362099200.

The previous prime is 114241014235063. The next prime is 114241014235129. The reversal of 114241014235125 is 521532410142411.

114241014235125 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 101 + 423 + 5 + 125 = 666.

It is not a de Polignac number, because 114241014235125 - 235 = 114206654496757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114241014235125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114241014235129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40307352 + ... + 43048398.

It is an arithmetic number, because the mean of its divisors is an integer number (1688499273240).

Almost surely, 2114241014235125 is an apocalyptic number.

114241014235125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114241014235125 is a deficient number, since it is larger than the sum of its proper divisors (101886892739595).

114241014235125 is a wasteful number, since it uses less digits than its factorization.

114241014235125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741357 (or 2741341 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 114241014235125 its reverse (521532410142411), we get a palindrome (635773424377536).

The spelling of 114241014235125 in words is "one hundred fourteen trillion, two hundred forty-one billion, fourteen million, two hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 53 75 125 135 159 225 233 265 375 477 675 699 795 1125 1165 1325 1431 2097 2385 3375 3495 3975 5825 6291 6625 7155 10485 11925 12349 17475 19875 29125 31455 35775 37047 52425 59625 61745 87375 111141 157275 178875 185235 262125 308725 333423 555705 786375 926175 1543625 1667115 2741047 2778525 4630875 8223141 8335575 13705235 13892625 24669423 41115705 41677875 68526175 74008269 123347115 145275491 205578525 342630875 370041345 435826473 616735575 638663951 726377455 1027892625 1307479419 1850206725 1915991853 2179132365 3083677875 3193319755 3631887275 3922438257 5747975559 6537397095 9251033625 9579959265 10895661825 15966598775 17243926677 18159436375 19612191285 28739877795 32686985475 33849189403 47899796325 54478309125 79832993875 86219633385 98060956425 101547568209 143699388975 163434927375 169245947015 239498981625 304642704627 431098166925 490304782125 507737841045 718496944875 846229735075 913928113881 1523213523135 2155490834625 2538689205225 4231148675375 4569640569405 7616067615675 12693446026125 22848202847025 38080338078375 114241014235125