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423095940960 = 253572113171743
BaseRepresentation
bin1100010100000100111…
…10111011011101100000
31111110002021122201211120
412022002132323131200
523413000030102320
6522211222212240
742365466105600
oct6120236733540
91443067581746
10423095940960
111534856a0710
1269bb9b84080
1330b8954c5b4
1416699706c00
15b01435a440
hex62827bb760

423095940960 has 1152 divisors, whose sum is σ = 1772814532608. Its totient is φ = 83768832000.

The previous prime is 423095940919. The next prime is 423095940983. The reversal of 423095940960 is 69049590324.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 569442349 + ... + 569443091.

It is an arithmetic number, because the mean of its divisors is an integer number (1538901504).

Almost surely, 2423095940960 is an apocalyptic number.

423095940960 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 423095940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886407266304).

423095940960 is an abundant number, since it is smaller than the sum of its proper divisors (1349718591648).

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

423095940960 is a wasteful number, since it uses less digits than its factorization.

423095940960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 423095940960 in words is "four hundred twenty-three billion, ninety-five million, nine hundred forty thousand, nine hundred sixty".