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202143410214000 = 2435333690568369
BaseRepresentation
bin101101111101100100101110…
…001010001101010001110000
3222111201201110211002121102220
4231331210232022031101300
5202443404201003322000
61553531222313041040
760402244101450003
oct5575445612152160
9874651424077386
10202143410214000
11594555a221a552
121a8088b70b6180
1388a4070a76138
1437cbb169ab53a
1518583323621a0
hexb7d92e28d470

202143410214000 has 80 divisors (see below), whose sum is σ = 651710354549280. Its totient is φ = 53904909388800.

The previous prime is 202143410213971. The next prime is 202143410214001. The reversal of 202143410214000 is 412014341202.

202143410214000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202143410214001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16845278185 + ... + 16845290184.

It is an arithmetic number, because the mean of its divisors is an integer number (8146379431866).

Almost surely, 2202143410214000 is an apocalyptic number.

202143410214000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202143410214000 is an abundant number, since it is smaller than the sum of its proper divisors (449566944335280).

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

202143410214000 is a wasteful number, since it uses less digits than its factorization.

202143410214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33690568395 (or 33690568379 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 202143410214000 its reverse (412014341202), we get a palindrome (202555424555202).

The spelling of 202143410214000 in words is "two hundred two trillion, one hundred forty-three billion, four hundred ten million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 33690568369 67381136738 101071705107 134762273476 168452841845 202143410214 269524546952 336905683690 404286820428 505358525535 539049093904 673811367380 808573640856 842264209225 1010717051070 1347622734760 1617147281712 1684528418450 2021434102140 2526792627675 2695245469520 3369056836900 4042868204280 4211321046125 5053585255350 6738113673800 8085736408560 8422642092250 10107170510700 12633963138375 13476227347600 16845284184500 20214341021400 25267926276750 33690568369000 40428682042800 50535852553500 67381136738000 101071705107000 202143410214000