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142191215712 = 253271341132329
BaseRepresentation
bin1000010001101101000…
…0011100010001100000
3111121000112212011121200
42010123100130101200
54312201422400322
6145153255121200
713162426251210
oct2043320342140
9447015764550
10142191215712
1155337263a17
1223683673200
1310540839240
146c4c660240
153a732a58ac
hex211b41c460

142191215712 has 288 divisors, whose sum is σ = 509811382080. Its totient is φ = 36586045440.

The previous prime is 142191215659. The next prime is 142191215723. The reversal of 142191215712 is 217512191241.

It is a happy number.

142191215712 is a `hidden beast` number, since 1 + 421 + 9 + 1 + 215 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 1008364 + ... + 1140692.

It is an arithmetic number, because the mean of its divisors is an integer number (1770178410).

Almost surely, 2142191215712 is an apocalyptic number.

142191215712 is a gapful number since it is divisible by the number (12) 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 142191215712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254905691040).

142191215712 is an abundant number, since it is smaller than the sum of its proper divisors (367620166368).

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

142191215712 is a wasteful number, since it uses less digits than its factorization.

142191215712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132406 (or 132395 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The spelling of 142191215712 in words is "one hundred forty-two billion, one hundred ninety-one million, two hundred fifteen thousand, seven hundred twelve".