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142430434200 = 233252761103979
BaseRepresentation
bin1000010010100110000…
…0111111001110011000
3111121122012222201200200
42010221200333032120
54313144142343300
6145233122302200
713201362500205
oct2045140771630
9447565881620
10142430434200
115544a2a334a
122372b7b7960
131057b275442
146c72330cac
153a892aa200
hex212983f398

142430434200 has 144 divisors (see below), whose sum is σ = 478962034200. Its totient is φ = 37931174400.

The previous prime is 142430434183. The next prime is 142430434241. The reversal of 142430434200 is 2434034241.

It is a happy number.

142430434200 is a `hidden beast` number, since 1 + 4 + 24 + 3 + 0 + 434 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1317811 + ... + 1421789.

Almost surely, 2142430434200 is an apocalyptic number.

142430434200 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 142430434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239481017100).

142430434200 is an abundant number, since it is smaller than the sum of its proper divisors (336531600000).

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

142430434200 is a wasteful number, since it uses less digits than its factorization.

142430434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104762 (or 104750 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 142430434200 its reverse (2434034241), we get a palindrome (144864468441).

The spelling of 142430434200 in words is "one hundred forty-two billion, four hundred thirty million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 761 900 1522 1800 2283 3044 3805 4566 6088 6849 7610 9132 11415 13698 15220 18264 19025 22830 27396 30440 34245 38050 45660 54792 57075 68490 76100 91320 103979 114150 136980 152200 171225 207958 228300 273960 311937 342450 415916 456600 519895 623874 684900 831832 935811 1039790 1247748 1369800 1559685 1871622 2079580 2495496 2599475 3119370 3743244 4159160 4679055 5198950 6238740 7486488 7798425 9358110 10397900 12477480 15596850 18716220 20795800 23395275 31193700 37432440 46790550 62387400 79128019 93581100 158256038 187162200 237384057 316512076 395640095 474768114 633024152 712152171 791280190 949536228 1186920285 1424304342 1582560380 1899072456 1978200475 2373840570 2848608684 3165120760 3560760855 3956400950 4747681140 5697217368 5934601425 7121521710 7912801900 9495362280 11869202850 14243043420 15825603800 17803804275 23738405700 28486086840 35607608550 47476811400 71215217100 142430434200