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14112214323400 = 23522310639288361
BaseRepresentation
bin1100110101011100000110…
…0001011001000011001000
31211222010002110222012210101
43031113001201121003020
53322203303331322100
650003021201255144
72654400553354264
oct315270141310310
954863073865711
1014112214323400
114550a58098736
1216bb0600344b4
137b4a12128b8b
1436b06b77b0a4
151971575e186a
hexcd5c18590c8

14112214323400 has 96 divisors (see below), whose sum is σ = 34240795948800. Its totient is φ = 5398929676800.

The previous prime is 14112214323359. The next prime is 14112214323419. The reversal of 14112214323400 is 432341221141.

It is a happy number.

It is a super-2 number, since 2×141122143234002 (a number of 27 digits) contains 22 as substring.

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, 48795220 + ... + 49083580.

It is an arithmetic number, because the mean of its divisors is an integer number (356674957800).

Almost surely, 214112214323400 is an apocalyptic number.

14112214323400 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 14112214323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17120397974400).

14112214323400 is an abundant number, since it is smaller than the sum of its proper divisors (20128581625400).

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

14112214323400 is a wasteful number, since it uses less digits than its factorization.

14112214323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299039 (or 299030 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14112214323400 its reverse (432341221141), we get a palindrome (14544555544541).

The spelling of 14112214323400 in words is "fourteen trillion, one hundred twelve billion, two hundred fourteen million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 10639 21278 42556 53195 85112 106390 212780 244697 265975 288361 425560 489394 531950 576722 978788 1063900 1153444 1223485 1441805 1957576 2127800 2306888 2446970 2883610 4893940 5767220 6117425 6632303 7209025 9787880 11534440 12234850 13264606 14418050 24469700 26529212 28836100 33161515 48939400 53058424 57672200 66323030 132646060 165807575 265292120 331615150 663230300 1326460600 3067872679 6135745358 12271490716 15339363395 24542981432 30678726790 61357453580 70561071617 76696816975 122714907160 141122143234 153393633950 282244286468 306787267900 352805358085 564488572936 613574535800 705610716170 1411221432340 1764026790425 2822442864680 3528053580850 7056107161700 14112214323400