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142341501680 = 245717927933
BaseRepresentation
bin1000010010010000110…
…1101111001011110000
3111121102000122111012122
42010210031233023300
54313003411023210
6145220224213412
713166232541550
oct2044415571360
9447360574178
10142341501680
1155404080aa4
1223705a6a268
1310565a08351
146c645c1160
153a8158eb55
hex212436f2f0

142341501680 has 120 divisors (see below), whose sum is σ = 380394424032. Its totient is φ = 48524041728.

The previous prime is 142341501671. The next prime is 142341501703. The reversal of 142341501680 is 86105143241.

It is a super-2 number, since 2×1423415016802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 142341501680.

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 23 ways as a sum of consecutive naturals, for example, 17938994 + ... + 17946926.

Almost surely, 2142341501680 is an apocalyptic number.

142341501680 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 142341501680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190197212016).

142341501680 is an abundant number, since it is smaller than the sum of its proper divisors (238052922352).

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

142341501680 is an equidigital number, since it uses as much as digits as its factorization.

142341501680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 142341501680 in words is "one hundred forty-two billion, three hundred forty-one million, five hundred one thousand, six hundred eighty".