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1406634441416 = 232371733146893
BaseRepresentation
bin10100011110000001111…
…100100011101011001000
311222110202202212100011022
4110132001330203223020
5141021241404111131
62554110545452012
7203424466321601
oct24360174435310
94873682770138
101406634441416
114a2606520326
121a8747041008
13a2850269c59
144c11d7a8da8
15268ca81a37b
hex14781f23ac8

1406634441416 has 64 divisors (see below), whose sum is σ = 2794699480320. Its totient is φ = 662353655040.

The previous prime is 1406634441383. The next prime is 1406634441473. The reversal of 1406634441416 is 6141444366041.

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 15 ways as a sum of consecutive naturals, for example, 9502466 + ... + 9649358.

It is an arithmetic number, because the mean of its divisors is an integer number (43667179380).

Almost surely, 21406634441416 is an apocalyptic number.

It is an amenable number.

1406634441416 is a deficient number, since it is larger than the sum of its proper divisors (1388065038904).

1406634441416 is a wasteful number, since it uses less digits than its factorization.

1406634441416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147726 (or 147722 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 1406634441416 in words is "one trillion, four hundred six billion, six hundred thirty-four million, four hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 23 46 71 92 142 184 284 568 733 1466 1633 2932 3266 5864 6532 13064 16859 33718 52043 67436 104086 134872 146893 208172 293786 416344 587572 1175144 1196989 2393978 3378539 4787956 6757078 9575912 10429403 13514156 20858806 27028312 41717612 83435224 107672569 215345138 239876269 430690276 479752538 861380552 959505076 1919010152 2476469087 4952938174 7644752399 9905876348 15289504798 19811752696 30579009596 61158019192 175829305177 351658610354 703317220708 1406634441416