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423204231528960 = 29357233147613851
BaseRepresentation
bin110000000111001101110100…
…1111000110100001000000000
32001111102221002112122112012220
41200032123221320310020000
5420432234231232411320
64100025201235051040
7155066332243403430
oct14016335170641000
92044387075575186
10423204231528960
111129339a7871982
123b56b994a40a80
131521acac24842b
1476712a08622c0
1533dd7a73d8e40
hex180e6e9e34200

423204231528960 has 2560 divisors, whose sum is σ = 1729248022757376. Its totient is φ = 86177710080000.

The previous prime is 423204231528863. The next prime is 423204231528971. The reversal of 423204231528960 is 69825132402324.

It is a tau number, because it is divible by the number of its divisors (2560).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 109894631035 + ... + 109894634885.

Almost surely, 2423204231528960 is an apocalyptic number.

423204231528960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423204231528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864624011378688).

423204231528960 is an abundant number, since it is smaller than the sum of its proper divisors (1306043791228416).

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

423204231528960 is a wasteful number, since it uses less digits than its factorization.

423204231528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 423204231528960 in words is "four hundred twenty-three trillion, two hundred four billion, two hundred thirty-one million, five hundred twenty-eight thousand, nine hundred sixty".