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201141404320 = 2551257133777
BaseRepresentation
bin1011101101010011110…
…1100100001010100000
3201020011220001000212111
42323110331210022200
511243414144414240
6232223022205104
720350320504253
oct2732475441240
9636156030774
10201141404320
117833809615a
1232b95a23794
1315c7693894c
149a4191b09a
1553737881ea
hex2ed4f642a0

201141404320 has 24 divisors (see below), whose sum is σ = 475196568084. Its totient is φ = 80456561664.

The previous prime is 201141404291. The next prime is 201141404333. The reversal of 201141404320 is 23404141102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 191287268496 + 9854135824 = 437364^2 + 99268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201141404291 and 201141404300.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 628566729 + ... + 628567048.

Almost surely, 2201141404320 is an apocalyptic number.

201141404320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201141404320 is an abundant number, since it is smaller than the sum of its proper divisors (274055163764).

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

201141404320 is a wasteful number, since it uses less digits than its factorization.

201141404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257133792 (or 1257133784 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 201141404320 its reverse (23404141102), we get a palindrome (224545545422).

The spelling of 201141404320 in words is "two hundred one billion, one hundred forty-one million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1257133777 2514267554 5028535108 6285668885 10057070216 12571337770 20114140432 25142675540 40228280864 50285351080 100570702160 201141404320