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422141104000 = 2753711342647
BaseRepresentation
bin1100010010010011001…
…00100000111110000000
31111100121201221222202201
412021021210200332000
523404021110312000
6521532352522544
742333023115430
oct6111144407600
91440551858681
10422141104000
11153035714560
1269992250454
1330a66796005
14166089942c0
15aeaa5ea96a
hex6249920f80

422141104000 has 256 divisors, whose sum is σ = 1308531594240. Its totient is φ = 131576064000.

The previous prime is 422141103971. The next prime is 422141104001. The reversal of 422141104000 is 401141224.

It is a super-2 number, since 2×4221411040002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422141104001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1060677 + ... + 1403323.

It is an arithmetic number, because the mean of its divisors is an integer number (5111451540).

Almost surely, 2422141104000 is an apocalyptic number.

422141104000 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 422141104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654265797120).

422141104000 is an abundant number, since it is smaller than the sum of its proper divisors (886390490240).

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

422141104000 is a wasteful number, since it uses less digits than its factorization.

422141104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342694 (or 342672 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 422141104000 its reverse (401141224), we get a palindrome (422542245224).

The spelling of 422141104000 in words is "four hundred twenty-two billion, one hundred forty-one million, one hundred four thousand".