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42245440000 = 2954971361
BaseRepresentation
bin100111010110000001…
…100100001000000000
311001001011020201002221
4213112001210020000
51143004313040000
631223550220424
73023611213051
oct472601441000
9131034221087
1042245440000
1116a094a4385
12822bab4714
133ca333389a
14208a8b6728
151173bcc61a
hex9d6064200

42245440000 has 200 divisors, whose sum is σ = 106642385388. Its totient is φ = 16711680000.

The previous prime is 42245439997. The next prime is 42245440037. The reversal of 42245440000 is 4454224.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 9342382336 + 32903057664 = 96656^2 + 181392^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31039320 + ... + 31040680.

Almost surely, 242245440000 is an apocalyptic number.

42245440000 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 42245440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53321192694).

42245440000 is an abundant number, since it is smaller than the sum of its proper divisors (64396945388).

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

42245440000 is an frugal number, since it uses more digits than its factorization.

42245440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 42245440000 its reverse (4454224), we get a palindrome (42249894224).

The spelling of 42245440000 in words is "forty-two billion, two hundred forty-five million, four hundred forty thousand".