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14401323154400 = 2552713197820373
BaseRepresentation
bin1101000110010001000111…
…0000000011101111100000
31212222202022222020112100212
43101210101300003233200
53341422402211420100
650343513155033252
73014314133026430
oct321442160035740
955882288215325
1014401323154400
11465262652a516
1217470a5b9b828
13806067746390
1437b05625c2c0
1519e928a5c635
hexd1911c03be0

14401323154400 has 144 divisors (see below), whose sum is σ = 43270437327264. Its totient is φ = 4557781370880.

The previous prime is 14401323154381. The next prime is 14401323154433. The reversal of 14401323154400 is 445132310441.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 98837387 + ... + 98982986.

It is an arithmetic number, because the mean of its divisors is an integer number (300489148106).

Almost surely, 214401323154400 is an apocalyptic number.

14401323154400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14401323154400 is an abundant number, since it is smaller than the sum of its proper divisors (28869114172864).

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

14401323154400 is a wasteful number, since it uses less digits than its factorization.

14401323154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197820413 (or 197820400 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 14401323154400 its reverse (445132310441), we get a palindrome (14846455464841).

The spelling of 14401323154400 in words is "fourteen trillion, four hundred one billion, three hundred twenty-three million, one hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 80 91 100 104 112 130 140 160 175 182 200 208 224 260 280 325 350 364 400 416 455 520 560 650 700 728 800 910 1040 1120 1300 1400 1456 1820 2080 2275 2600 2800 2912 3640 4550 5200 5600 7280 9100 10400 14560 18200 36400 72800 197820373 395640746 791281492 989101865 1384742611 1582562984 1978203730 2571664849 2769485222 3165125968 3956407460 4945509325 5143329698 5538970444 6330251936 6923713055 7912814920 9891018650 10286659396 11077940888 12858324245 13847426110 15825629840 18001653943 19782037300 20573318792 22155881776 25716648490 27694852220 31651259680 34618565275 36003307886 39564074600 41146637584 44311763552 51433296980 55389704440 64291621225 69237130550 72006615772 79128149200 82293275168 90008269715 102866593960 110779408880 128583242450 138474261100 144013231544 158256298400 180016539430 205733187920 221558817760 257166484900 276948522200 288026463088 360033078860 411466375840 450041348575 514332969800 553897044400 576052926176 720066157720 900082697150 1028665939600 1107794088800 1440132315440 1800165394300 2057331879200 2880264630880 3600330788600 7200661577200 14401323154400