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2114143631406 = 233232776145159
BaseRepresentation
bin11110110000111100110…
…001111011100000101110
321111002222022020010001000
4132300330301323200232
5234114231232201111
64255120231101130
7305512310235402
oct36607461734056
97432868203030
102114143631406
1174566aa67564
122a189a5117a6
13124494361b81
147447a0d5102
1539ed8c6cc56
hex1ec3cc7b82e

2114143631406 has 64 divisors (see below), whose sum is σ = 4920060902400. Its totient is φ = 671641188768.

The previous prime is 2114143631371. The next prime is 2114143631419. The reversal of 2114143631406 is 6041363414112.

2114143631406 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 14 + 3 + 631 + 4 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2728546 + ... + 3416613.

It is an arithmetic number, because the mean of its divisors is an integer number (76875951600).

Almost surely, 22114143631406 is an apocalyptic number.

2114143631406 is an abundant number, since it is smaller than the sum of its proper divisors (2805917270994).

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

2114143631406 is a wasteful number, since it uses less digits than its factorization.

2114143631406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145470 (or 6145464 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2114143631406 in words is "two trillion, one hundred fourteen billion, one hundred forty-three million, six hundred thirty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 277 414 554 621 831 1242 1662 2493 4986 6371 7479 12742 14958 19113 38226 57339 114678 172017 344034 6145159 12290318 18435477 36870954 55306431 110612862 141338657 165919293 282677314 331838586 424015971 848031942 1272047913 1702209043 2544095826 3404418086 3816143739 5106627129 7632287478 10213254258 15319881387 30639762774 39150807989 45959644161 78301615978 91919288322 117452423967 234904847934 352357271901 704714543802 1057071815703 2114143631406