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420460523541 = 34171916070807
BaseRepresentation
bin1100001111001010110…
…01100111000000010101
31111012021121122122210000
412013211121213000111
523342100343223131
6521053520121513
742243255324102
oct6074531470025
91435247578700
10420460523541
11152353005593
12695a3466299
13308595588c6
14164c96c5aa9
15ae0ccd0ce6
hex61e5667015

420460523541 has 40 divisors (see below), whose sum is σ = 700044396480. Its totient is φ = 249933174912.

The previous prime is 420460523519. The next prime is 420460523543. The reversal of 420460523541 is 145325064024.

420460523541 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 60 + 52 + 3 + 541 = 666.

It is not a de Polignac number, because 420460523541 - 29 = 420460523029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420460523496 and 420460523505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420460523543) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8009241 + ... + 8061566.

It is an arithmetic number, because the mean of its divisors is an integer number (17501109912).

Almost surely, 2420460523541 is an apocalyptic number.

It is an amenable number.

420460523541 is a deficient number, since it is larger than the sum of its proper divisors (279583872939).

420460523541 is a wasteful number, since it uses less digits than its factorization.

420460523541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16070855 (or 16070846 counting only the distinct ones).

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

Adding to 420460523541 its reverse (145325064024), we get a palindrome (565785587565).

The spelling of 420460523541 in words is "four hundred twenty billion, four hundred sixty million, five hundred twenty-three thousand, five hundred forty-one".

Divisors: 1 3 9 17 19 27 51 57 81 153 171 323 459 513 969 1377 1539 2907 8721 26163 16070807 48212421 144637263 273203719 305345333 433911789 819611157 916035999 1301735367 2458833471 2748107997 5190870661 7376500413 8244323991 15572611983 22129501239 24732971973 46717835949 140153507847 420460523541