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244214542000 = 2453113137057
BaseRepresentation
bin1110001101110001010…
…0100010111010110000
3212100100201202010202001
43203130110202322300
513000122410321000
6304105101103344
723433602233162
oct3433424427260
9770321663661
10244214542000
1194630819000
123b3b6b57b54
131a04c59c470
14bb6a2cc932
156544e5e46a
hex38dc522eb0

244214542000 has 320 divisors, whose sum is σ = 699579474048. Its totient is φ = 81962496000.

The previous prime is 244214541973. The next prime is 244214542007. The reversal of 244214542000 is 245412442.

It is a self number, because there is not a number n which added to its sum of digits gives 244214542000.

It is not an unprimeable number, because it can be changed into a prime (244214542007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34602472 + ... + 34609528.

Almost surely, 2244214542000 is an apocalyptic number.

244214542000 is a gapful number since it is divisible by the number (20) 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 244214542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349789737024).

244214542000 is an abundant number, since it is smaller than the sum of its proper divisors (455364932048).

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

244214542000 is a wasteful number, since it uses less digits than its factorization.

244214542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7126 (or 7088 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 244214542000 its reverse (245412442), we get a palindrome (244459954442).

The spelling of 244214542000 in words is "two hundred forty-four billion, two hundred fourteen million, five hundred forty-two thousand".