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14201414000 = 245337191911
BaseRepresentation
bin11010011100111100…
…00110000101110000
31100122201110120122022
431032132012011300
5213041030222000
610305105331012
71011632012234
oct151636060560
940581416568
1014201414000
116028367594
122904036a68
13145426c967
1498a1465c4
15581b6b585
hex34e786170

14201414000 has 80 divisors (see below), whose sum is σ = 35267284416. Its totient is φ = 5527008000.

The previous prime is 14201413997. The next prime is 14201414021. The reversal of 14201414000 is 41410241.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14201414000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21956 + ... + 169955.

Almost surely, 214201414000 is an apocalyptic number.

14201414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14201414000 is an abundant number, since it is smaller than the sum of its proper divisors (21065870416).

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

14201414000 is a wasteful number, since it uses less digits than its factorization.

14201414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191971 (or 191955 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 14201414000 its reverse (41410241), we get a palindrome (14242824241).

The spelling of 14201414000 in words is "fourteen billion, two hundred one million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 740 925 1000 1480 1850 2000 2960 3700 4625 7400 9250 14800 18500 37000 74000 191911 383822 767644 959555 1535288 1919110 3070576 3838220 4797775 7100707 7676440 9595550 14201414 15352880 19191100 23988875 28402828 35503535 38382200 47977750 56805656 71007070 76764400 95955500 113611312 142014140 177517675 191911000 284028280 355035350 383822000 568056560 710070700 887588375 1420141400 1775176750 2840282800 3550353500 7100707000 14201414000