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114232822641 = 347201468823
BaseRepresentation
bin110101001100011001…
…1101000101101110001
3101220212002012122110000
41222120303220231301
53332422100311031
6124251113500213
711152536654150
oct1523063505561
9356762178400
10114232822641
114449a4a5443
121a180411669
13aa064285a2
145759421597
152e88a0c3e6
hex1a98ce8b71

114232822641 has 20 divisors (see below), whose sum is σ = 195021821632. Its totient is φ = 65275898328.

The previous prime is 114232822633. The next prime is 114232822643. The reversal of 114232822641 is 146228232411.

114232822641 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 3 + 2 + 8 + 2 + 2 + 641 = 666.

It is not a de Polignac number, because 114232822641 - 23 = 114232822633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114232822596 and 114232822605.

It is not an unprimeable number, because it can be changed into a prime (114232822643) 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 19 ways as a sum of consecutive naturals, for example, 100733845 + ... + 100734978.

Almost surely, 2114232822641 is an apocalyptic number.

It is an amenable number.

114232822641 is a deficient number, since it is larger than the sum of its proper divisors (80788998991).

114232822641 is an equidigital number, since it uses as much as digits as its factorization.

114232822641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201468842 (or 201468833 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 114232822641 in words is "one hundred fourteen billion, two hundred thirty-two million, eight hundred twenty-two thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 201468823 604406469 1410281761 1813219407 4230845283 5439658221 12692535849 16318974663 38077607547 114232822641