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420032041000424 = 231759951011010791
BaseRepresentation
bin101111110000001000101010…
…0100110010001110111101000
32001002012200010010112002101222
41133200101110212101313220
5420023301104444003144
64045200020015001212
7154321212352660526
oct13740212446216750
92032180103462358
10420032041000424
11111920651a28576
123b139034809208
131504ab0b9c7c28
1475a1932ddd316
153385ee5d9e2ee
hex17e0454991de8

420032041000424 has 64 divisors (see below), whose sum is σ = 835443847008000. Its totient is φ = 197293269888000.

The previous prime is 420032041000379. The next prime is 420032041000433. The reversal of 420032041000424 is 424000140230024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 420032041000393 and 420032041000402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415042469 + ... + 416053259.

It is an arithmetic number, because the mean of its divisors is an integer number (13053810109500).

Almost surely, 2420032041000424 is an apocalyptic number.

It is an amenable number.

420032041000424 is a deficient number, since it is larger than the sum of its proper divisors (415411806007576).

420032041000424 is a wasteful number, since it uses less digits than its factorization.

420032041000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016514 (or 1016510 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 420032041000424 its reverse (424000140230024), we get a palindrome (844032181230448).

The spelling of 420032041000424 in words is "four hundred twenty trillion, thirty-two billion, forty-one million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 17 34 68 136 599 1198 2396 4792 5101 10183 10202 20366 20404 40732 40808 81464 86717 173434 346868 693736 1010791 2021582 3055499 4043164 6110998 8086328 12221996 17183447 24443992 34366894 51943483 68733788 103886966 137467576 207773932 415547864 605463809 1210927618 2421855236 4843710472 5156044891 10292884753 10312089782 20585769506 20624179564 41171539012 41248359128 82343078024 87652763147 175305526294 350611052588 701222105176 3088470889709 6176941779418 12353883558836 24707767117672 52504005125053 105008010250106 210016020500212 420032041000424