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14422101441400 = 2352194678126959
BaseRepresentation
bin1101000111011110100000…
…1110111011101101111000
31220001201222001020212200001
43101313220032323231320
53342242430432111100
650401231045522344
73015651055404562
oct321675016735570
956051861225601
1014422101441400
11466041930a034
12174b1247133b4
13807cc9440b63
1437c067a5a332
151a0242cb1d6a
hexd1de83bbb78

14422101441400 has 96 divisors (see below), whose sum is σ = 35371780704000. Its totient is φ = 5453513896320.

The previous prime is 14422101441311. The next prime is 14422101441401. The reversal of 14422101441400 is 414410122441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14422101441401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2288880 + ... + 5838079.

It is an arithmetic number, because the mean of its divisors is an integer number (368456049000).

Almost surely, 214422101441400 is an apocalyptic number.

14422101441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14422101441400 is an abundant number, since it is smaller than the sum of its proper divisors (20949679262600).

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

14422101441400 is a wasteful number, since it uses less digits than its factorization.

14422101441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8127461 (or 8127452 counting only the distinct ones).

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

Adding to 14422101441400 its reverse (414410122441), we get a palindrome (14836511563841).

The spelling of 14422101441400 in words is "fourteen trillion, four hundred twenty-two billion, one hundred one million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 467 475 760 934 950 1868 1900 2335 3736 3800 4670 8873 9340 11675 17746 18680 23350 35492 44365 46700 70984 88730 93400 177460 221825 354920 443650 887300 1774600 8126959 16253918 32507836 40634795 65015672 81269590 154412221 162539180 203173975 308824442 325078360 406347950 617648884 772061105 812695900 1235297768 1544122210 1625391800 3088244420 3795289853 3860305525 6176488840 7590579706 7720611050 15181159412 15441222100 18976449265 30362318824 30882444200 37952898530 72110507207 75905797060 94882246325 144221014414 151811594120 189764492650 288442028828 360552536035 379528985300 576884057656 721105072070 759057970600 1442210144140 1802762680175 2884420288280 3605525360350 7211050720700 14422101441400