Search a number
-
+
201305341433440 = 2552354702538433
BaseRepresentation
bin101101110001011000001101…
…010111100001011001100000
3222101202121021100211102222201
4231301120031113201121200
5202341141314401332230
61552050221442342544
760254555010401356
oct5561301527413140
9871677240742881
10201305341433440
1159162130246542
121a6b23a765aa54
138843020b8bb0a
14379d33274b7d6
151841631db15ca
hexb7160d5e1660

201305341433440 has 48 divisors (see below), whose sum is σ = 496261428673248. Its totient is φ = 77021174112256.

The previous prime is 201305341433411. The next prime is 201305341433447. The reversal of 201305341433440 is 44334143503102.

It is a self number, because there is not a number n which added to its sum of digits gives 201305341433440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201305341433447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27351265537 + ... + 27351272896.

It is an arithmetic number, because the mean of its divisors is an integer number (10338779764026).

Almost surely, 2201305341433440 is an apocalyptic number.

201305341433440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201305341433440 is an abundant number, since it is smaller than the sum of its proper divisors (294956087239808).

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

201305341433440 is a wasteful number, since it uses less digits than its factorization.

201305341433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54702538471 (or 54702538463 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 201305341433440 its reverse (44334143503102), we get a palindrome (245639484936542).

The spelling of 201305341433440 in words is "two hundred one trillion, three hundred five billion, three hundred forty-one million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 54702538433 109405076866 218810153732 273512692165 437620307464 547025384330 875240614928 1094050768660 1258158383959 1750481229856 2188101537320 2516316767918 4376203074640 5032633535836 6290791919795 8752406149280 10065267071672 12581583839590 20130534143344 25163167679180 40261068286688 50326335358360 100652670716720 201305341433440