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114224152021245 = 3357472571747203
BaseRepresentation
bin11001111110001011100010…
…000000011000100011111101
3112222102201111112210222012000
4121332023202000120203331
5104432422030404134440
61042533503453332513
733026264653336050
oct3176134200304375
9488381445728160
10114224152021245
1133439210aa8aa2
12109894a5497139
134b973a3041296
14202c69ac50a97
15d31374161730
hex67e2e20188fd

114224152021245 has 64 divisors (see below), whose sum is σ = 237012222320640. Its totient is φ = 51105760398144.

The previous prime is 114224152021153. The next prime is 114224152021261. The reversal of 114224152021245 is 542120251422411.

114224152021245 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 4 + 1 + 520 + 2 + 124 + 5 = 666.

It is not a de Polignac number, because 114224152021245 - 28 = 114224152020989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1285829187 + ... + 1285918016.

It is an arithmetic number, because the mean of its divisors is an integer number (3703315973760).

Almost surely, 2114224152021245 is an apocalyptic number.

114224152021245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114224152021245 is an abundant number, since it is smaller than the sum of its proper divisors (122788070299395).

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

114224152021245 is a wasteful number, since it uses less digits than its factorization.

114224152021245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571747271 (or 2571747265 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 114224152021245 in words is "one hundred fourteen trillion, two hundred twenty-four billion, one hundred fifty-two million, twenty-one thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 47 63 105 135 141 189 235 315 329 423 705 945 987 1269 1645 2115 2961 4935 6345 8883 14805 44415 2571747203 7715241609 12858736015 18002230421 23145724827 38576208045 54006691263 69437174481 90011152105 115728624135 120872118541 162020073789 270033456315 347185872405 362616355623 486060221367 604360592705 810100368945 846104829787 1087849066869 1813081778115 2430301106835 2538314489361 3263547200607 4230524148935 5439245334345 7614943468083 12691572446805 16317736003035 22844830404249 38074717340415 114224152021245