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14021322320000 = 2754315653759
BaseRepresentation
bin1100110000001001011111…
…1011111010100010000000
31211122102111001122001001002
43030002113323322202000
53314211132003220000
645453150114231132
72645002303155602
oct314022773724200
954572431561032
1014021322320000
114516455a07256
1216a55145854a8
137a928857cc48
143668c8205172
15194ad7cb78d5
hexcc097efa880

14021322320000 has 160 divisors (see below), whose sum is σ = 36031186329600. Its totient is φ = 5427607680000.

The previous prime is 14021322319999. The next prime is 14021322320053. The reversal of 14021322320000 is 2322312041.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 346880 + ... + 5306879.

It is an arithmetic number, because the mean of its divisors is an integer number (225194914560).

Almost surely, 214021322320000 is an apocalyptic number.

14021322320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14021322320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18015593164800).

14021322320000 is an abundant number, since it is smaller than the sum of its proper divisors (22009864009600).

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

14021322320000 is an frugal number, since it uses more digits than its factorization.

14021322320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5653824 (or 5653797 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14021322320000 its reverse (2322312041), we get a palindrome (14023644632041).

The spelling of 14021322320000 in words is "fourteen trillion, twenty-one billion, three hundred twenty-two million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 200 248 250 310 320 400 496 500 620 625 640 775 800 992 1000 1240 1250 1550 1600 1984 2000 2480 2500 3100 3200 3875 3968 4000 4960 5000 6200 7750 8000 9920 10000 12400 15500 16000 19375 19840 20000 24800 31000 38750 40000 49600 62000 77500 80000 99200 124000 155000 248000 310000 496000 620000 1240000 2480000 5653759 11307518 22615036 28268795 45230072 56537590 90460144 113075180 141343975 175266529 180920288 226150360 282687950 350533058 361840576 452300720 565375900 701066116 706719875 723681152 876332645 904601440 1130751800 1402132232 1413439750 1752665290 1809202880 2261503600 2804264464 2826879500 3505330580 3533599375 3618405760 4381663225 4523007200 5608528928 5653759000 7010661160 7067198750 8763326450 9046014400 11217057856 11307518000 14021322320 14134397500 17526652900 18092028800 21908316125 22434115712 22615036000 28042644640 28268795000 35053305800 43816632250 45230072000 56085289280 56537590000 70106611600 87633264500 90460144000 109541580625 112170578560 113075180000 140213223200 175266529000 219083161250 226150360000 280426446400 350533058000 438166322500 452300720000 560852892800 701066116000 876332645000 1402132232000 1752665290000 2804264464000 3505330580000 7010661160000 14021322320000