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42322130343000 = 23335317400723011
BaseRepresentation
bin10011001111101111000111…
…00010111001010001011000
312112211221211000211210111000
421213313203202321101120
521021401210331434000
6230002303540305000
711625446562222534
oct1147674342712130
9175757730753430
1042322130343000
1112537795274422
1248b638b9a2160
131a7cc627b8341
14a6458b29abc4
154d5d68182000
hex267de38b9458

42322130343000 has 512 divisors, whose sum is σ = 155392635340800. Its totient is φ = 10618912512000.

The previous prime is 42322130342993. The next prime is 42322130343019. The reversal of 42322130343000 is 34303122324.

42322130343000 is a `hidden beast` number, since 4 + 2 + 3 + 221 + 3 + 0 + 3 + 430 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1839201495 + ... + 1839224505.

It is an arithmetic number, because the mean of its divisors is an integer number (303501240900).

Almost surely, 242322130343000 is an apocalyptic number.

42322130343000 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 42322130343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77696317670400).

42322130343000 is an abundant number, since it is smaller than the sum of its proper divisors (113070504997800).

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

42322130343000 is a wasteful number, since it uses less digits than its factorization.

42322130343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27065 (or 27045 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 42322130343000 its reverse (34303122324), we get a palindrome (42356433465324).

The spelling of 42322130343000 in words is "forty-two trillion, three hundred twenty-two billion, one hundred thirty million, three hundred forty-three thousand".