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114301141112445 = 3576737691615661
BaseRepresentation
bin11001111111010011001110…
…111010011101011001111101
3112222201002020001101000210020
4121333103032322131121331
5104440202214111044240
61043033115213002353
733034661554661640
oct3177231672353175
9488632201330706
10114301141112445
11334689293737a1
12109a03b0a833b9
134ba1722442451
1420322c1b83a57
15d3337d1340d0
hex67f4cee9d67d

114301141112445 has 32 divisors (see below), whose sum is σ = 209008240462080. Its totient is φ = 52251840330240.

The previous prime is 114301141112441. The next prime is 114301141112467. The reversal of 114301141112445 is 544211141103411.

It is a happy number.

It is not a de Polignac number, because 114301141112445 - 22 = 114301141112441 is a prime.

It is a super-2 number, since 2×1143011411124452 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114301141112441) 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 31 ways as a sum of consecutive naturals, for example, 69937915 + ... + 71553575.

It is an arithmetic number, because the mean of its divisors is an integer number (6531507514440).

Almost surely, 2114301141112445 is an apocalyptic number.

114301141112445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114301141112445 is a deficient number, since it is larger than the sum of its proper divisors (94707099349635).

114301141112445 is a wasteful number, since it uses less digits than its factorization.

114301141112445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289445.

The product of its (nonzero) digits is 7680, while the sum is 33.

Adding to 114301141112445 its reverse (544211141103411), we get a palindrome (658512282215856).

The spelling of 114301141112445 in words is "one hundred fourteen trillion, three hundred one billion, one hundred forty-one million, one hundred twelve thousand, four hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 673769 1615661 2021307 3368845 4716383 4846983 8078305 10106535 11309627 14149149 23581915 24234915 33928881 56548135 70745745 169644405 1088582296309 3265746888927 5442911481545 7620076074163 16328734444635 22860228222489 38100380370815 114301141112445