Search a number
-
+
1422020410000 = 24546110123081
BaseRepresentation
bin10100101100010111000…
…001010111101010010000
312000221111001021112012121
4110230113001113222100
5141244244211110000
63005133412304024
7204510664023061
oct24542701275220
95027431245177
101422020410000
114a90914a4243
121ab71b912014
13a4132a53a88
144cb7cd80568
1526ecb470b1a
hex14b17057a90

1422020410000 has 200 divisors, whose sum is σ = 3534093421848. Its totient is φ = 553920000000.

The previous prime is 1422020409989. The next prime is 1422020410003. The reversal of 1422020410000 is 140202241.

It can be written as a sum of positive squares in 20 ways, for example, as 1409557813504 + 12462596496 = 1187248^2 + 111636^2 .

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 (16).

It is not an unprimeable number, because it can be changed into a prime (1422020410003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61598460 + ... + 61621540.

Almost surely, 21422020410000 is an apocalyptic number.

1422020410000 is a gapful number since it is divisible by the number (10) 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 1422020410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767046710924).

1422020410000 is an abundant number, since it is smaller than the sum of its proper divisors (2112073011848).

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

1422020410000 is a wasteful number, since it uses less digits than its factorization.

1422020410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23271 (or 23250 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1422020410000 its reverse (140202241), we get a palindrome (1422160612241).

The spelling of 1422020410000 in words is "one trillion, four hundred twenty-two billion, twenty million, four hundred ten thousand".