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14202443401100 = 22527195310871931
BaseRepresentation
bin1100111010101100001110…
…0110000000011110001100
31212021201222200220021102222
43032223003212000132030
53330143101002313400
650112302403434512
72664043534022663
oct316530346003614
955251880807388
1014202443401100
11458624a052239
121714641685a38
137c0391546696
1437158ac69dda
15199688b1d185
hexceac398078c

14202443401100 has 144 divisors (see below), whose sum is σ = 31331170676736. Its totient is φ = 5587044288000.

The previous prime is 14202443401093. The next prime is 14202443401121. The reversal of 14202443401100 is 110434420241.

It is a super-2 number, since 2×142024434011002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14202443401100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7354967135 + ... + 7354969065.

It is an arithmetic number, because the mean of its divisors is an integer number (217577574144).

Almost surely, 214202443401100 is an apocalyptic number.

14202443401100 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 14202443401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15665585338368).

14202443401100 is an abundant number, since it is smaller than the sum of its proper divisors (17128727275636).

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

14202443401100 is a wasteful number, since it uses less digits than its factorization.

14202443401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14202443401100 its reverse (110434420241), we get a palindrome (14312877821341).

The spelling of 14202443401100 in words is "fourteen trillion, two hundred two billion, four hundred forty-three million, four hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 953 1087 1420 1775 1906 1931 2174 3550 3812 3862 4348 4765 5435 7100 7724 9530 9655 10870 19060 19310 21740 23825 27175 38620 47650 48275 54350 67663 77177 95300 96550 108700 135326 137101 154354 193100 270652 274202 308708 338315 385885 548404 676630 685505 771770 1035911 1353260 1371010 1543540 1691575 1840243 1929425 2071822 2098997 2742020 3383150 3427525 3680486 3858850 4143644 4197994 5179555 6766300 6855050 7360972 7717700 8395988 9201215 10359110 10494985 13710100 18402430 20718220 20989970 25897775 36804860 41979940 46006075 51795550 52474925 73549681 92012150 103591100 104949850 130657253 147099362 149028787 184024300 209899700 261314506 294198724 298057574 367748405 522629012 596115148 653286265 735496810 745143935 1306572530 1470993620 1490287870 1838742025 2000344141 2613145060 2980575740 3266431325 3677484050 3725719675 4000688282 6532862650 7354968100 7451439350 8001376564 10001720705 13065725300 14902878700 20003441410 40006882820 50008603525 100017207050 142024434011 200034414100 284048868022 568097736044 710122170055 1420244340110 2840488680220 3550610850275 7101221700550 14202443401100