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420432204023031 = 3372148436896831
BaseRepresentation
bin101111110011000011000000…
…0001011000100010011110111
32001010121221000011211212101010
41133212012000023010103313
5420101330123212214111
64050103515501203303
7154362136644360234
oct13746060013042367
92033557004755333
10420432204023031
11111a653295871a2
123b1a26b2560533
1315079782044745
1475b7054aba78b
153391616c4aaa6
hex17e61802c44f7

420432204023031 has 24 divisors (see below), whose sum is σ = 576175359642624. Its totient is φ = 272694368291040.

The previous prime is 420432204023011. The next prime is 420432204023033. The reversal of 420432204023031 is 130320402234024.

It is not a de Polignac number, because 420432204023031 - 219 = 420432203498743 is a prime.

It is a super-3 number, since 3×4204322040230313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 420432204023031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420432204023033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57511786 + ... + 64408616.

It is an arithmetic number, because the mean of its divisors is an integer number (24007306651776).

Almost surely, 2420432204023031 is an apocalyptic number.

420432204023031 is a deficient number, since it is larger than the sum of its proper divisors (155743155619593).

420432204023031 is a wasteful number, since it uses less digits than its factorization.

420432204023031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911751 (or 6911714 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 420432204023031 its reverse (130320402234024), we get a palindrome (550752606257055).

The spelling of 420432204023031 in words is "four hundred twenty trillion, four hundred thirty-two billion, two hundred four million, twenty-three thousand, thirty-one".

Divisors: 1 3 37 111 1369 4107 14843 44529 549191 1647573 6896831 20320067 20690493 60960201 255182747 765548241 9441761639 28325284917 102369662533 307108987599 3787677513721 11363032541163 140144068007677 420432204023031