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201406044541608 = 233282921291584929
BaseRepresentation
bin101101110010110101111111…
…101111011001001010101000
3222102010020012112111101022200
4231302311333233121022220
5202344314034400312413
61552204354243420200
760265051352605044
oct5562657757311250
9872106175441280
10201406044541608
11591a0907554175
121a709a10984660
13884c67c25859a
1437a4166d15024
151844077bd4573
hexb72d7fbd92a8

201406044541608 has 96 divisors (see below), whose sum is σ = 546389560665000. Its totient is φ = 67022826651648.

The previous prime is 201406044541567. The next prime is 201406044541697. The reversal of 201406044541608 is 806145440604102.

201406044541608 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 0 + 6 + 0 + 44 + 541 + 60 + 8 = 666.

201406044541608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 161971387332804 + 39434657208804 = 12726798^2 + 6279702^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126283288 + ... + 127868216.

Almost surely, 2201406044541608 is an apocalyptic number.

It is an amenable number.

201406044541608 is an abundant number, since it is smaller than the sum of its proper divisors (344983516123392).

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

201406044541608 is a wasteful number, since it uses less digits than its factorization.

201406044541608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587899 (or 1587892 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 201406044541608 in words is "two hundred one trillion, four hundred six billion, forty-four million, five hundred forty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 829 1658 2129 2487 3316 4258 4974 6387 6632 7461 8516 9948 12774 14922 17032 19161 19896 25548 29844 38322 51096 59688 76644 153288 1584929 1764941 3169858 3529882 4754787 5294823 6339716 7059764 9509574 10589646 12679432 14119528 14264361 15884469 19019148 21179292 28528722 31768938 38038296 42358584 57057444 63537876 114114888 127075752 1313906141 2627812282 3374313841 3941718423 5255624564 6748627682 7883436846 10122941523 10511249128 11825155269 13497255364 15766873692 20245883046 23650310538 26994510728 30368824569 31533747384 40491766092 47300621076 60737649138 80983532184 94601242152 121475298276 242950596552 2797306174189 5594612348378 8391918522567 11189224696756 16783837045134 22378449393512 25175755567701 33567674090268 50351511135402 67135348180536 100703022270804 201406044541608