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114424120239 = 311131092519749
BaseRepresentation
bin110101010010000110…
…1011000001110101111
3101221100102011120102020
41222210031120032233
53333320033321424
6124322110001223
711160351655122
oct1524415301657
9357312146366
10114424120239
1144588484130
121a2144a6213
13aa36c56830
1457769ba3b9
152e9a6e8079
hex1aa43583af

114424120239 has 64 divisors (see below), whose sum is σ = 181621440000. Its totient is φ = 63167040000.

The previous prime is 114424120229. The next prime is 114424120247. The reversal of 114424120239 is 932021424411.

It is not a de Polignac number, because 114424120239 - 215 = 114424087471 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114424120219) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11732137 + ... + 11741885.

It is an arithmetic number, because the mean of its divisors is an integer number (2837835000).

Almost surely, 2114424120239 is an apocalyptic number.

114424120239 is a deficient number, since it is larger than the sum of its proper divisors (67197319761).

114424120239 is a wasteful number, since it uses less digits than its factorization.

114424120239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10136.

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 114424120239 in words is "one hundred fourteen billion, four hundred twenty-four million, one hundred twenty thousand, two hundred thirty-nine".

Divisors: 1 3 11 13 33 39 109 143 251 327 429 753 1199 1417 2761 3263 3597 4251 8283 9749 9789 15587 27359 29247 35893 46761 82077 107239 107679 126737 300949 321717 355667 380211 902847 1062641 1067001 1394107 2446999 3187923 3912337 4182321 7340997 11689051 11737011 13814333 26916989 31810987 35067153 41442999 80750967 95432961 151957663 266722891 349920857 455872989 800168673 1049762571 2933951801 3467397583 8801855403 10402192749 38141373413 114424120239