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140433414213213 = 32117329387661237
BaseRepresentation
bin11111111011100100110011…
…110001001100111001011101
3200102020022012002112211000100
4133323210303301030321131
5121401330113014310323
61214402115253451313
741402656630231242
oct3773446361147135
9612208162484010
10140433414213213
1140823527260590
1213900b2a340b39
136048a77875124
1426970291255c9
151137ede622943
hex7fb933c4ce5d

140433414213213 has 48 divisors (see below), whose sum is σ = 224328345299136. Its totient is φ = 83942270334720.

The previous prime is 140433414213101. The next prime is 140433414213217. The reversal of 140433414213213 is 312312414334041.

140433414213213 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 3 + 3 + 414 + 21 + 3 + 213 = 666.

It is not a de Polignac number, because 140433414213213 - 218 = 140433413951069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140433414213217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212049231 + ... + 212710467.

It is an arithmetic number, because the mean of its divisors is an integer number (4673507193732).

Almost surely, 2140433414213213 is an apocalyptic number.

It is an amenable number.

140433414213213 is a deficient number, since it is larger than the sum of its proper divisors (83894931085923).

140433414213213 is a wasteful number, since it uses less digits than its factorization.

140433414213213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690714 (or 690711 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 140433414213213 its reverse (312312414334041), we get a palindrome (452745828547254).

The spelling of 140433414213213 in words is "one hundred forty trillion, four hundred thirty-three billion, four hundred fourteen million, two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 73 99 219 657 803 2409 7227 29387 88161 264483 323257 661237 969771 1983711 2145251 2909313 5951133 6435753 7273607 19307259 21820821 23597761 48270301 65462463 70793283 144810903 212379849 434432709 530973311 1592919933 4778759799 19431771719 58295315157 174885945471 213749488909 641248466727 1418519335487 1923745400181 4255558006461 12766674019383 15603712690357 46811138071071 140433414213213