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4422342130000 = 2454769575077
BaseRepresentation
bin100000001011010100000…
…1000011011100101010000
3120122202211121220212112021
41000112220020123211100
51034423424041130000
613223332415341224
7634334521611304
oct100265010334520
916582747825467
104422342130000
111455560929a13
125b50b5521814
13261043117a32
141140848a1d04
157a07e06411a
hex405a821b950

4422342130000 has 100 divisors (see below), whose sum is σ = 10720874362660. Its totient is φ = 1766633472000.

The previous prime is 4422342129977. The next prime is 4422342130007. The reversal of 4422342130000 is 312432244.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2444819942464 + 1977522187536 = 1563592^2 + 1406244^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422342130007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7402462 + ... + 7977538.

Almost surely, 24422342130000 is an apocalyptic number.

4422342130000 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 4422342130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360437181330).

4422342130000 is an abundant number, since it is smaller than the sum of its proper divisors (6298532232660).

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

4422342130000 is an equidigital number, since it uses as much as digits as its factorization.

4422342130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575874 (or 575853 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4422342130000 its reverse (312432244), we get a palindrome (4422654562244).

The spelling of 4422342130000 in words is "four trillion, four hundred twenty-two billion, three hundred forty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 769 1000 1250 1538 2000 2500 3076 3845 5000 6152 7690 10000 12304 15380 19225 30760 38450 61520 76900 96125 153800 192250 307600 384500 480625 575077 769000 961250 1150154 1538000 1922500 2300308 2875385 3845000 4600616 5750770 7690000 9201232 11501540 14376925 23003080 28753850 46006160 57507700 71884625 115015400 143769250 230030800 287538500 359423125 442234213 575077000 718846250 884468426 1150154000 1437692500 1768936852 2211171065 2875385000 3537873704 4422342130 5750770000 7075747408 8844684260 11055855325 17689368520 22111710650 35378737040 44223421300 55279276625 88446842600 110558553250 176893685200 221117106500 276396383125 442234213000 552792766250 884468426000 1105585532500 2211171065000 4422342130000