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1082348400014 = 271747193501343
BaseRepresentation
bin11111100000000001111…
…11011110110110001110
310211110201201110120200022
433300000333132312032
5120213122142300024
62145120214302142
7141124413413630
oct17600077366616
93743651416608
101082348400014
11388026500732
12155924357952
137b0acac085b
143a55904ca50
151d24aeb735e
hexfc00fded8e

1082348400014 has 64 divisors (see below), whose sum is σ = 2016798621696. Its totient is φ = 425073844224.

The previous prime is 1082348400011. The next prime is 1082348400041. The reversal of 1082348400014 is 4100048432801.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082348400011) by changing a digit.

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, 1908227 + ... + 2409569.

It is an arithmetic number, because the mean of its divisors is an integer number (31512478464).

Almost surely, 21082348400014 is an apocalyptic number.

1082348400014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1082348400014 is a deficient number, since it is larger than the sum of its proper divisors (934450221682).

1082348400014 is a wasteful number, since it uses less digits than its factorization.

1082348400014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501609.

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 1082348400014 in words is "one trillion, eighty-two billion, three hundred forty-eight million, four hundred thousand, fourteen".

Divisors: 1 2 7 14 17 34 47 94 119 193 238 329 386 658 799 1351 1598 2702 3281 5593 6562 9071 11186 18142 22967 45934 63497 126994 154207 308414 501343 1002686 1079449 2158898 3509401 7018802 8522831 17045662 23563121 47126242 59659817 96759199 119319634 164941847 193518398 329883694 400573057 677314393 801146114 1354628786 1644906383 2804011399 3289812766 4547682353 5608022798 9095364706 11514344681 23028689362 31833776471 63667552942 77310600001 154621200002 541174200007 1082348400014