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142424430400 = 2652712716467
BaseRepresentation
bin1000010010100100101…
…0000101011101000000
3111121121210200201000201
42010221022011131000
54313141123233100
6145232345454544
713201260453340
oct2045112053500
9447553621021
10142424430400
115544697262a
12237297a1454
1310579c527b5
146c7160ad20
153a889c136a
hex2129285740

142424430400 has 84 divisors (see below), whose sum is σ = 400517876128. Its totient is φ = 48831229440.

The previous prime is 142424430371. The next prime is 142424430413. The reversal of 142424430400 is 4034424241.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6347034 + ... + 6369433.

Almost surely, 2142424430400 is an apocalyptic number.

142424430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142424430400 is an abundant number, since it is smaller than the sum of its proper divisors (258093445728).

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

142424430400 is a wasteful number, since it uses less digits than its factorization.

142424430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12716496 (or 12716481 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 142424430400 its reverse (4034424241), we get a palindrome (146458854641).

The spelling of 142424430400 in words is "one hundred forty-two billion, four hundred twenty-four million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 12716467 25432934 50865868 63582335 89015269 101731736 127164670 178030538 203463472 254329340 317911675 356061076 406926944 445076345 508658680 635823350 712122152 813853888 890152690 1017317360 1271646700 1424244304 1780305380 2034634720 2225381725 2543293400 2848488608 3560610760 4069269440 4450763450 5086586800 5696977216 7121221520 8901526900 10173173600 14242443040 17803053800 20346347200 28484886080 35606107600 71212215200 142424430400