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2421146420406 = 232719215447781
BaseRepresentation
bin100011001110110111100…
…100101000010010110110
322120110101212010200100200
4203032313210220102312
5304132001440423111
65052132002221330
7336631160004360
oct43166744502266
98513355120320
102421146420406
1185389104288a
12331299054846
1314740bc31cbc
14852812bbd30
1542ea60e7256
hex233b79284b6

2421146420406 has 24 divisors (see below), whose sum is σ = 5995219707984. Its totient is φ = 691756120080.

The previous prime is 2421146420393. The next prime is 2421146420431. The reversal of 2421146420406 is 6040246411242.

2421146420406 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 1 + 4 + 642 + 0 + 4 + 0 + 6 = 666.

2421146420406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×24211464204063 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9607723765 + ... + 9607724016.

It is an arithmetic number, because the mean of its divisors is an integer number (249800821166).

Almost surely, 22421146420406 is an apocalyptic number.

2421146420406 is an abundant number, since it is smaller than the sum of its proper divisors (3574073287578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2421146420406 is a wasteful number, since it uses less digits than its factorization.

2421146420406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19215447796 (or 19215447793 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 2421146420406 in words is "two trillion, four hundred twenty-one billion, one hundred forty-six million, four hundred twenty thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 19215447781 38430895562 57646343343 115292686686 134508134467 172939030029 269016268934 345878060058 403524403401 807048806802 1210573210203 2421146420406