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114100014430233 = 33131572677773447
BaseRepresentation
bin11001111100010111111010…
…110101000011100000011001
3112221222212002012000221212000
4121330113322311003200121
5104423403312143231413
61042400453434111213
733014311503252066
oct3174277265034031
9487885065027760
10114100014430233
11333a05a9623577
121096941bb7b509
134b8877b88c810
1420266821b9c6d
15d2d00ad08073
hex67c5fad43819

114100014430233 has 64 divisors (see below), whose sum is σ = 183268070469120. Its totient is φ = 69742009449216.

The previous prime is 114100014430081. The next prime is 114100014430249. The reversal of 114100014430233 is 332034410001411.

114100014430233 is a `hidden beast` number, since 1 + 1 + 410 + 0 + 0 + 14 + 4 + 3 + 0 + 233 = 666.

It is not a de Polignac number, because 114100014430233 - 28 = 114100014429977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114100014430197 and 114100014430206.

It is not an unprimeable number, because it can be changed into a prime (114100014430333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147134716 + ... + 147908162.

It is an arithmetic number, because the mean of its divisors is an integer number (2863563601080).

Almost surely, 2114100014430233 is an apocalyptic number.

114100014430233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114100014430233 is a deficient number, since it is larger than the sum of its proper divisors (69168056038887).

114100014430233 is a wasteful number, since it uses less digits than its factorization.

114100014430233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776303 (or 776297 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 114100014430233 its reverse (332034410001411), we get a palindrome (446134424431644).

The spelling of 114100014430233 in words is "one hundred fourteen trillion, one hundred billion, fourteen million, four hundred thirty thousand, two hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 157 351 471 1413 2041 2677 4239 6123 8031 18369 24093 34801 55107 72279 104403 313209 420289 773447 939627 1260867 2320341 3782601 5463757 6961023 10054811 11347803 16391271 20883069 30164433 49173813 90493299 121431179 147521439 271479897 364293537 1092880611 1578605327 2070517619 3278641833 4735815981 6211552857 14207447943 18634658571 26916729047 42622343829 55903975713 80750187141 242250561423 325071266183 726751684269 975213798549 2925641395647 4225926460379 8776924186941 12677779381137 38033338143411 114100014430233