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201142234320 = 2435838092643
BaseRepresentation
bin1011101101010100000…
…0101110110011010000
3201020011221121012102020
42323111000232303100
511243414402444240
6232223052051440
720350330532136
oct2732500566320
9636157535366
10201142234320
1178338602805
1232b96163b80
1315c76b69681
149a41a95756
15537389e0d0
hex2ed502ecd0

201142234320 has 40 divisors (see below), whose sum is σ = 623540927136. Its totient is φ = 53637929088.

The previous prime is 201142234313. The next prime is 201142234331. The reversal of 201142234320 is 23432241102.

It is a happy number.

201142234320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419046082 + ... + 419046561.

Almost surely, 2201142234320 is an apocalyptic number.

201142234320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201142234320 is an abundant number, since it is smaller than the sum of its proper divisors (422398692816).

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

201142234320 is a wasteful number, since it uses less digits than its factorization.

201142234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838092659 (or 838092653 counting only the distinct ones).

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

Adding to 201142234320 its reverse (23432241102), we get a palindrome (224574475422).

The spelling of 201142234320 in words is "two hundred one billion, one hundred forty-two million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 838092643 1676185286 2514277929 3352370572 4190463215 5028555858 6704741144 8380926430 10057111716 12571389645 13409482288 16761852860 20114223432 25142779290 33523705720 40228446864 50285558580 67047411440 100571117160 201142234320