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423124240000 = 2754711149461
BaseRepresentation
bin1100010100001000010…
…10111000011010000000
31111110011020220110211011
412022010022320122000
523413024301140000
6522214112530304
742366261461230
oct6120412703200
91443136813734
10423124240000
1115349a66a150
126a007550994
1330b9237a2a7
141669d391cc0
15b016a9a2ba
hex62842b8680

423124240000 has 640 divisors, whose sum is σ = 1324938384000. Its totient is φ = 130713600000.

The previous prime is 423124239977. The next prime is 423124240067. The reversal of 423124240000 is 42421324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 917839770 + ... + 917840230.

It is an arithmetic number, because the mean of its divisors is an integer number (2070216225).

Almost surely, 2423124240000 is an apocalyptic number.

423124240000 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 423124240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662469192000).

423124240000 is an abundant number, since it is smaller than the sum of its proper divisors (901814144000).

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

423124240000 is a wasteful number, since it uses less digits than its factorization.

423124240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 423124240000 its reverse (42421324), we get a palindrome (423166661324).

The spelling of 423124240000 in words is "four hundred twenty-three billion, one hundred twenty-four million, two hundred forty thousand".