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114103414224 = 24325314950657
BaseRepresentation
bin110101001000100010…
…1111110110111010000
3101220112001201000110200
41222101011332313100
53332140433223344
6124230212055200
711146406006142
oct1522105766720
9356461630420
10114103414224
1144433447a38
121a145004500
13a9b5689167
145746176c92
152e7c499069
hex1a9117edd0

114103414224 has 60 divisors (see below), whose sum is σ = 325356219396. Its totient is φ = 37316837376.

The previous prime is 114103414193. The next prime is 114103414247. The reversal of 114103414224 is 422414301411.

114103414224 is a `hidden beast` number, since 1 + 14 + 10 + 3 + 414 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28974848400 + 85128565824 = 170220^2 + 291768^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7467697 + ... + 7482960.

Almost surely, 2114103414224 is an apocalyptic number.

It is an amenable number.

114103414224 is an abundant number, since it is smaller than the sum of its proper divisors (211252805172).

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

114103414224 is a wasteful number, since it uses less digits than its factorization.

114103414224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14950724 (or 14950715 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114103414224 its reverse (422414301411), we get a palindrome (536517715635).

The spelling of 114103414224 in words is "one hundred fourteen billion, one hundred three million, four hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 14950657 29901314 44851971 59802628 89703942 119605256 134555913 179407884 239210512 269111826 358815768 538223652 717631536 792384821 1076447304 1584769642 2152894608 2377154463 3169539284 4754308926 6339078568 7131463389 9508617852 12678157136 14262926778 19017235704 28525853556 38034471408 57051707112 114103414224