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14202401141404 = 22719167209976159
BaseRepresentation
bin1100111010101100000100…
…0100110011001010011100
31212021201212202101021001001
43032223001010303022130
53330143004143011104
650112254254000044
72664042511563610
oct316530104631234
955251782337031
1014202401141404
114586228208973
12171462b4a6024
137c038586b448
143715853c9340
15199685071aa4
hexceac113329c

14202401141404 has 96 divisors (see below), whose sum is σ = 30093557760000. Its totient is φ = 5729053178304.

The previous prime is 14202401141363. The next prime is 14202401141417. The reversal of 14202401141404 is 40414110420241.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186445477 + ... + 186521635.

It is an arithmetic number, because the mean of its divisors is an integer number (313474560000).

Almost surely, 214202401141404 is an apocalyptic number.

14202401141404 is a gapful number since it is divisible by the number (14) 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 14202401141404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046778880000).

14202401141404 is an abundant number, since it is smaller than the sum of its proper divisors (15891156618596).

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

14202401141404 is a wasteful number, since it uses less digits than its factorization.

14202401141404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78455 (or 78453 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 14202401141404 its reverse (40414110420241), we get a palindrome (54616511561645).

The spelling of 14202401141404 in words is "fourteen trillion, two hundred two billion, four hundred one million, one hundred forty-one thousand, four hundred four".

Divisors: 1 2 4 7 14 19 28 38 76 133 167 266 334 532 668 1169 2099 2338 3173 4198 4676 6346 8396 12692 14693 22211 29386 39881 44422 58772 76159 79762 88844 152318 159524 279167 304636 350533 533113 558334 701066 1066226 1116668 1402132 1447021 2132452 2453731 2894042 4907462 5788084 6660127 9814924 10129147 12718553 13320254 20258294 25437106 26640508 40516588 46620889 50874212 89029871 93241778 159857741 178059742 186483556 241652507 319715482 356119484 483305014 639430964 966610028 1119004187 1691567549 2238008374 3037297079 3383135098 4476016748 6074594158 6766270196 12149188316 21261079553 26696242747 42522159106 53392485494 85044318212 106784970988 186873699229 373747398458 507228612193 747494796916 1014457224386 2028914448772 3550600285351 7101200570702 14202401141404