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423298437120 = 212325132107127
BaseRepresentation
bin1100010100011101000…
…11011001000000000000
31111110121101200121100100
412022032203121000000
523413403344441440
6522243254322400
742403505230446
oct6121643310000
91443541617310
10423298437120
11153579a29009
126a055959400
1330bbc49bb00
14166b8578b96
15b027009230
hex628e8d9000

423298437120 has 936 divisors, whose sum is σ = 1616279049216. Its totient is φ = 102409961472.

The previous prime is 423298437097. The next prime is 423298437127. The reversal of 423298437120 is 21734892324.

423298437120 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 98 + 437 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (423298437127) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3333058497 + ... + 3333058623.

It is an arithmetic number, because the mean of its divisors is an integer number (1726793856).

Almost surely, 2423298437120 is an apocalyptic number.

423298437120 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 423298437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808139524608).

423298437120 is an abundant number, since it is smaller than the sum of its proper divisors (1192980612096).

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

423298437120 is a wasteful number, since it uses less digits than its factorization.

423298437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 423298437120 in words is "four hundred twenty-three billion, two hundred ninety-eight million, four hundred thirty-seven thousand, one hundred twenty".