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14420023024400 = 2452723223913401
BaseRepresentation
bin1101000111010110110001…
…0110011001101100010000
31220001112121012100100112122
43101311230112121230100
53342224201343240100
650400244522113412
73015545420222030
oct321655426315420
956045535310478
1014420023024400
11465a552082634
12174a84464b868
13807a5796bb06
1437bd0b9cb8c0
151a01705ae985
hexd1d6c599b10

14420023024400 has 120 divisors (see below), whose sum is σ = 41314709629824. Its totient is φ = 4729051008000.

The previous prime is 14420023024327. The next prime is 14420023024403. The reversal of 14420023024400 is 442032002441.

It is a happy number.

It is a super-2 number, since 2×144200230244002 (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 14420023024400.

It is not an unprimeable number, because it can be changed into a prime (14420023024403) 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, 111892301 + ... + 112021100.

Almost surely, 214420023024400 is an apocalyptic number.

14420023024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14420023024400 is an abundant number, since it is smaller than the sum of its proper divisors (26894686605424).

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

14420023024400 is a wasteful number, since it uses less digits than its factorization.

14420023024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223913449 (or 223913438 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 14420023024400 its reverse (442032002441), we get a palindrome (14862055026841).

The spelling of 14420023024400 in words is "fourteen trillion, four hundred twenty billion, twenty-three million, twenty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 140 161 175 184 200 230 280 322 350 368 400 460 560 575 644 700 805 920 1150 1288 1400 1610 1840 2300 2576 2800 3220 4025 4600 6440 8050 9200 12880 16100 32200 64400 223913401 447826802 895653604 1119567005 1567393807 1791307208 2239134010 3134787614 3582614416 4478268020 5150008223 5597835025 6269575228 7836969035 8956536040 10300016446 11195670050 12539150456 15673938070 17913072080 20600032892 22391340100 25078300912 25750041115 31347876140 36050057561 39184845175 41200065784 44782680200 51500082230 62695752280 72100115122 78369690350 82400131568 89565360400 103000164460 125391504560 128750205575 144200230244 156739380700 180250287805 206000328920 257500411150 288400460488 313478761400 360500575610 412000657840 515000822300 576800920976 626957522800 721001151220 901251439025 1030001644600 1442002302440 1802502878050 2060003289200 2884004604880 3605005756100 7210011512200 14420023024400