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4021442422404 = 223111747175321751
BaseRepresentation
bin111010100001010000101…
…001011010011010000100
3112020110001020101121201220
4322201100221122122010
51011341403230004104
612315231455320340
7563353043410131
oct72412051323204
915213036347656
104021442422404
111310536454a20
1254b470b200b0
132322b3286144
14dc8d301b588
156e91869a7d9
hex3a850a5a684

4021442422404 has 192 divisors, whose sum is σ = 11075970834432. Its totient is φ = 1121840640000.

The previous prime is 4021442422373. The next prime is 4021442422427. The reversal of 4021442422404 is 4042242441204.

It is a super-2 number, since 2×40214424224042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184874529 + ... + 184896279.

It is an arithmetic number, because the mean of its divisors is an integer number (57687348096).

Almost surely, 24021442422404 is an apocalyptic number.

4021442422404 is a gapful number since it is divisible by the number (44) 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 4021442422404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537985417216).

4021442422404 is an abundant number, since it is smaller than the sum of its proper divisors (7054528412028).

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

4021442422404 is a wasteful number, since it uses less digits than its factorization.

4021442422404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23586 (or 23584 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 4021442422404 its reverse (4042242441204), we get a palindrome (8063684863608).

The spelling of 4021442422404 in words is "four trillion, twenty-one billion, four hundred forty-two million, four hundred twenty-two thousand, four hundred four".