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34432554141 = 34425093261
BaseRepresentation
bin100000000100010101…
…110001010010011101
310021212122220222120000
4200010111301102131
51031004213213031
623452413044513
72326161611136
oct400425612235
9107778828500
1034432554141
111366a308617
12680b486739
1333297b57bb
141948dd8c8d
15d67d433e6
hex80457149d

34432554141 has 10 divisors (see below), whose sum is σ = 51436284702. Its totient is φ = 22955036040.

The previous prime is 34432554131. The next prime is 34432554209. The reversal of 34432554141 is 14145523443.

34432554141 is a `hidden beast` number, since 3 + 44 + 32 + 5 + 541 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22239756900 + 12192797241 = 149130^2 + 110421^2 .

It is not a de Polignac number, because 34432554141 - 235 = 72815773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34432554096 and 34432554105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34432554131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 212546550 + ... + 212546711.

Almost surely, 234432554141 is an apocalyptic number.

It is an amenable number.

34432554141 is a deficient number, since it is larger than the sum of its proper divisors (17003730561).

34432554141 is an equidigital number, since it uses as much as digits as its factorization.

34432554141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425093273 (or 425093264 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 34432554141 in words is "thirty-four billion, four hundred thirty-two million, five hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 425093261 1275279783 3825839349 11477518047 34432554141