Search a number
-
+
142201002243300 = 22352711133759216917
BaseRepresentation
bin100000010101010011000000…
…001110011011010011100100
3200122111021122100021022101220
4200111103000032123103210
5122114310123033241200
61222234123311420340
741644453253464230
oct4025230016332344
9618437570238356
10142201002243300
1141345119659480
1213b4760bb246b0
13614665cb081c0
1427187cadd15c0
151168e939144a0
hex8154c039b4e4

142201002243300 has 1152 divisors, whose sum is σ = 576964951879680. Its totient is φ = 26088227020800.

The previous prime is 142201002243283. The next prime is 142201002243317. The reversal of 142201002243300 is 3342200102241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142201002243283) and next prime (142201002243317).

It is a super-2 number, since 2×1422010022433002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 655446442 + ... + 655663358.

It is an arithmetic number, because the mean of its divisors is an integer number (500837631840).

Almost surely, 2142201002243300 is an apocalyptic number.

142201002243300 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 142201002243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288482475939840).

142201002243300 is an abundant number, since it is smaller than the sum of its proper divisors (434763949636380).

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

142201002243300 is a wasteful number, since it uses less digits than its factorization.

142201002243300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217061 (or 217054 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 142201002243300 its reverse (3342200102241), we get a palindrome (145543202345541).

The spelling of 142201002243300 in words is "one hundred forty-two trillion, two hundred one billion, two million, two hundred forty-three thousand, three hundred".