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422034443040 = 253571131111553
BaseRepresentation
bin1100010010000110011…
…01101000101100100000
31111100100022021001102210
412021003031220230200
523403311304134130
6521514022442120
742330256401510
oct6110315505440
91440308231383
10422034443040
11152a90493601
1269962593340
1330a4a65c712
14165d874b840
15aea107c5b0
hex6243368b20

422034443040 has 192 divisors, whose sum is σ = 1532770718976. Its totient is φ = 95611256832.

The previous prime is 422034443009. The next prime is 422034443069. The reversal of 422034443040 is 40344430224.

It is a super-2 number, since 2×4220344430402 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 422034442989 and 422034443007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176097 + ... + 935456.

It is an arithmetic number, because the mean of its divisors is an integer number (7983180828).

Almost surely, 2422034443040 is an apocalyptic number.

422034443040 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 422034443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766385359488).

422034443040 is an abundant number, since it is smaller than the sum of its proper divisors (1110736275936).

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

422034443040 is a wasteful number, since it uses less digits than its factorization.

422034443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111691 (or 1111683 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 422034443040 its reverse (40344430224), we get a palindrome (462378873264).

The spelling of 422034443040 in words is "four hundred twenty-two billion, thirty-four million, four hundred forty-three thousand, forty".