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541002540233439 = 33197101711325481
BaseRepresentation
bin111101100000010011111100…
…0001110111011001011011111
32121221112100010012211022102000
41323000213320032323023133
51031402241200244432224
65154341045210333343
7221645100165426024
oct17300477016731337
92557470105738360
10541002540233439
1114741a986066809
1250815b0012a253
131a2b44225a229b
14978493c4a354b
154282ab6da80c9
hex1ec09f83bb2df

541002540233439 has 16 divisors (see below), whose sum is σ = 805553697817440. Its totient is φ = 358837556293440.

The previous prime is 541002540233431. The next prime is 541002540233473. The reversal of 541002540233439 is 934332045200145.

541002540233439 is a `hidden beast` number, since 5 + 41 + 0 + 0 + 2 + 540 + 2 + 3 + 34 + 39 = 666.

It is not a de Polignac number, because 541002540233439 - 23 = 541002540233431 is a prime.

It is a super-3 number, since 3×5410025402334393 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 541002540233394 and 541002540233403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541002540233431) 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 15 ways as a sum of consecutive naturals, for example, 50855657422 + ... + 50855668059.

It is an arithmetic number, because the mean of its divisors is an integer number (50347106113590).

Almost surely, 2541002540233439 is an apocalyptic number.

541002540233439 is a deficient number, since it is larger than the sum of its proper divisors (264551157584001).

541002540233439 is a wasteful number, since it uses less digits than its factorization.

541002540233439 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101711325687 (or 101711325681 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 541002540233439 in words is "five hundred forty-one trillion, two billion, five hundred forty million, two hundred thirty-three thousand, four hundred thirty-nine".

Divisors: 1 3 9 27 197 591 1773 5319 101711325481 305133976443 915401929329 2746205787987 20037131119757 60111393359271 180334180077813 541002540233439