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42440244231000 = 233537111511121591
BaseRepresentation
bin10011010011001011000111…
…01011100111101101011000
312120021020200120221222201110
421221211203223213231120
521030320110010343000
6230132440135020320
711640130546550250
oct1151454353475530
9176236616858643
1042440244231000
11125828964a96a0
124915253b0a6a0
131a8b136cc22b5
14a6a193d12960
154d8e7c76e850
hex269963ae7b58

42440244231000 has 512 divisors, whose sum is σ = 165197653770240. Its totient is φ = 8812843200000.

The previous prime is 42440244230987. The next prime is 42440244231019. The reversal of 42440244231000 is 13244204424.

It is a super-2 number, since 2×424402442310002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 348980205 + ... + 349101795.

It is an arithmetic number, because the mean of its divisors is an integer number (322651667520).

Almost surely, 242440244231000 is an apocalyptic number.

42440244231000 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 42440244231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82598826885120).

42440244231000 is an abundant number, since it is smaller than the sum of its proper divisors (122757409539240).

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

42440244231000 is a wasteful number, since it uses less digits than its factorization.

42440244231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123144 (or 123130 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 42440244231000 its reverse (13244204424), we get a palindrome (42453488435424).

The spelling of 42440244231000 in words is "forty-two trillion, four hundred forty billion, two hundred forty-four million, two hundred thirty-one thousand".