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142002708120 = 2333571331127367
BaseRepresentation
bin1000010001000000000…
…1010101111010011000
3111120112102010222211000
42010100001111322120
54311310143124440
6145122442505000
713154650050330
oct2042001257230
9446472128730
10142002708120
115524a910419
1223630505160
1310510776ba0
146c315d00c0
153a6196b730
hex2110055e98

142002708120 has 1024 divisors, whose sum is σ = 607754649600. Its totient is φ = 28687841280.

The previous prime is 142002708119. The next prime is 142002708257. The reversal of 142002708120 is 21807200241.

It is a super-2 number, since 2×1420027081202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 255 ways as a sum of consecutive naturals, for example, 386928177 + ... + 386928543.

It is an arithmetic number, because the mean of its divisors is an integer number (593510400).

Almost surely, 2142002708120 is an apocalyptic number.

142002708120 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 142002708120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303877324800).

142002708120 is an abundant number, since it is smaller than the sum of its proper divisors (465751941480).

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

142002708120 is a wasteful number, since it uses less digits than its factorization.

142002708120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 142002708120 its reverse (21807200241), we get a palindrome (163809908361).

The spelling of 142002708120 in words is "one hundred forty-two billion, two million, seven hundred eight thousand, one hundred twenty".