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142073118720 = 2143751361
BaseRepresentation
bin1000010001010000110…
…1111100000000000000
3111120201022122020000000
42010110031330000000
54311431204244340
6145133440000000
713156463404131
oct2042415740000
9446638566000
10142073118720
11552866319a5
1223650000000
131052222a570
146c3aabbc88
153a67c28d30
hex211437c000

142073118720 has 960 divisors, whose sum is σ = 559733758080. Its totient is φ = 34398535680.

The previous prime is 142073118713. The next prime is 142073118727. The reversal of 142073118720 is 27811370241.

142073118720 is a `hidden beast` number, since 1 + 420 + 7 + 31 + 187 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (142073118713) and next prime (142073118727).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142073118727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2329067490 + ... + 2329067550.

It is an arithmetic number, because the mean of its divisors is an integer number (583055998).

Almost surely, 2142073118720 is an apocalyptic number.

142073118720 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 142073118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279866879040).

142073118720 is an abundant number, since it is smaller than the sum of its proper divisors (417660639360).

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

142073118720 is an frugal number, since it uses more digits than its factorization.

142073118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 142073118720 its reverse (27811370241), we get a palindrome (169884488961).

The spelling of 142073118720 in words is "one hundred forty-two billion, seventy-three million, one hundred eighteen thousand, seven hundred twenty".