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114505445120154 = 23113169498053751
BaseRepresentation
bin11010000010010001100000…
…011000011001100010011010
3120000102121120100101221220120
4122002101200120121202122
5110002024122422321104
61043311024132534110
733055513450253244
oct3202214030314232
9500377510357816
10114505445120154
113353753968a660
1210a13b09a81336
134bb7a8135503a
14203c143713094
15d3883937ecd9
hex68246061989a

114505445120154 has 64 divisors (see below), whose sum is σ = 257926240051200. Its totient is φ = 33574473000000.

The previous prime is 114505445120153. The next prime is 114505445120179. The reversal of 114505445120154 is 451021544505411.

It is a super-2 number, since 2×1145054451201542 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114505445120153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10190779 + ... + 18244529.

It is an arithmetic number, because the mean of its divisors is an integer number (4030097500800).

Almost surely, 2114505445120154 is an apocalyptic number.

114505445120154 is an abundant number, since it is smaller than the sum of its proper divisors (143420794931046).

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

114505445120154 is a wasteful number, since it uses less digits than its factorization.

114505445120154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8060747.

The product of its (nonzero) digits is 320000, while the sum is 42.

Adding to 114505445120154 its reverse (451021544505411), we get a palindrome (565526989625565).

The spelling of 114505445120154 in words is "one hundred fourteen trillion, five hundred five billion, four hundred forty-five million, one hundred twenty thousand, one hundred fifty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2046 6949 13898 20847 41694 76439 152878 215419 229317 430838 458634 646257 1292514 2369609 4739218 7108827 8053751 14217654 16107502 24161253 48322506 88591261 177182522 249666281 265773783 499332562 531547566 748998843 1497997686 2746329091 5492658182 8238987273 16477974546 55965515699 111931031398 167896547097 335793094194 615620672689 1231241345378 1734930986669 1846862018067 3469861973338 3693724036134 5204792960007 10409585920014 19084240853359 38168481706718 57252722560077 114505445120154