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142435134200 = 23526185313687
BaseRepresentation
bin1000010010100111001…
…0111010101011111000
3111121122112211111212202
42010221302322223320
54313201343243300
6145233411125332
713201450443632
oct2045162725370
9447575744782
10142435134200
1155451a13547
12237312a3848
131057c22c7c8
146c72bd5a52
153a898d7ad5
hex2129cbaaf8

142435134200 has 96 divisors (see below), whose sum is σ = 337009784160. Its totient is φ = 55970265600.

The previous prime is 142435134181. The next prime is 142435134211. The reversal of 142435134200 is 2431534241.

142435134200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10399757 + ... + 10413443.

It is an arithmetic number, because the mean of its divisors is an integer number (3510518585).

Almost surely, 2142435134200 is an apocalyptic number.

142435134200 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 142435134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168504892080).

142435134200 is an abundant number, since it is smaller than the sum of its proper divisors (194574649960).

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

142435134200 is a wasteful number, since it uses less digits than its factorization.

142435134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14617 (or 14608 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 142435134200 its reverse (2431534241), we get a palindrome (144866668441).

The spelling of 142435134200 in words is "one hundred forty-two billion, four hundred thirty-five million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 853 1220 1525 1706 2440 3050 3412 4265 6100 6824 8530 12200 13687 17060 21325 27374 34120 42650 52033 54748 68435 85300 104066 109496 136870 170600 208132 260165 273740 342175 416264 520330 547480 684350 834907 1040660 1300825 1368700 1669814 2081320 2601650 2737400 3339628 4174535 5203300 6679256 8349070 10406600 11675011 16698140 20872675 23350022 33396280 41745350 46700044 58375055 83490700 93400088 116750110 166981400 233500220 291875275 467000440 583750550 712175671 1167501100 1424351342 2335002200 2848702684 3560878355 5697405368 7121756710 14243513420 17804391775 28487026840 35608783550 71217567100 142435134200