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14021304200400 = 2435271669202881
BaseRepresentation
bin1100110000001001011011…
…0110110010110011010000
31211122102102210112110121210
43030002112312302303100
53314211112333403100
645453144230020120
72645001663151020
oct314022666626320
954572383473553
1014021304200400
114516446760782
1216a550a4a7640
137a92848a76a3
143668c5a49a80
15194ad63d8c50
hexcc096db2cd0

14021304200400 has 120 divisors (see below), whose sum is σ = 51331327027264. Its totient is φ = 3204869529600.

The previous prime is 14021304200369. The next prime is 14021304200417. The reversal of 14021304200400 is 400240312041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 834593041 + ... + 834609840.

Almost surely, 214021304200400 is an apocalyptic number.

14021304200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14021304200400 is an abundant number, since it is smaller than the sum of its proper divisors (37310022826864).

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

14021304200400 is a wasteful number, since it uses less digits than its factorization.

14021304200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669202909 (or 1669202898 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14021304200400 its reverse (400240312041), we get a palindrome (14421544512441).

The spelling of 14021304200400 in words is "fourteen trillion, twenty-one billion, three hundred four million, two hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 1669202881 3338405762 5007608643 6676811524 8346014405 10015217286 11684420167 13353623048 16692028810 20030434572 23368840334 25038043215 26707246096 33384057620 35053260501 40060869144 41730072025 46737680668 50076086430 58422100835 66768115240 70106521002 80121738288 83460144050 93475361336 100152172860 116844201670 125190216075 133536230480 140213042004 166920288100 175266302505 186950722672 200304345720 233688403340 250380432150 280426084008 292110504175 333840576200 350532605010 400608691440 467376806680 500760864300 560852168016 584221008350 667681152400 701065210020 876331512525 934753613360 1001521728600 1168442016700 1402130420040 1752663025050 2003043457200 2336884033400 2804260840080 3505326050100 4673768066800 7010652100200 14021304200400