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42444401300 = 225274143163211
BaseRepresentation
bin100111100001111000…
…100010101010010100
311001120000121222200222
4213201320202222110
51143411231320200
631255414453512
73031545313130
oct474170425224
9131500558628
1042444401300
1117000837a04
128286664298
134005616172
1420a90a83c0
1511863cdd85
hex9e1e22a94

42444401300 has 288 divisors, whose sum is σ = 111540194304. Its totient is φ = 13716864000.

The previous prime is 42444401291. The next prime is 42444401369. The reversal of 42444401300 is 310444424.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42444401300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201158195 + ... + 201158405.

Almost surely, 242444401300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42444401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55770097152).

42444401300 is an abundant number, since it is smaller than the sum of its proper divisors (69095793004).

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

42444401300 is a wasteful number, since it uses less digits than its factorization.

42444401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 42444401300 its reverse (310444424), we get a palindrome (42754845724).

The spelling of 42444401300 in words is "forty-two billion, four hundred forty-four million, four hundred one thousand, three hundred".