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142097646848220 = 2232573147364321247
BaseRepresentation
bin100000010011110010101111…
…110000111000100011011100
3200122010101212022212020102100
4200103302233300320203130
5122111111440043120340
61222114431402525100
741634134104225620
oct4023625760704334
9618111768766370
10142097646848220
1141305301193398
1213b2b586506790
13613999b0bc4ab
1427137c4495180
151166444d33830
hex813cafc388dc

142097646848220 has 576 divisors, whose sum is σ = 519481721880576. Its totient is φ = 30753085294080.

The previous prime is 142097646848219. The next prime is 142097646848239. The reversal of 142097646848220 is 22848646790241.

It is a happy number.

142097646848220 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 9 + 76 + 4 + 68 + 482 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6687881637 + ... + 6687902883.

It is an arithmetic number, because the mean of its divisors is an integer number (901877989376).

Almost surely, 2142097646848220 is an apocalyptic number.

142097646848220 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 142097646848220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259740860940288).

142097646848220 is an abundant number, since it is smaller than the sum of its proper divisors (377384075032356).

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

142097646848220 is a wasteful number, since it uses less digits than its factorization.

142097646848220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24990 (or 24985 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 142097646848220 in words is "one hundred forty-two trillion, ninety-seven billion, six hundred forty-six million, eight hundred forty-eight thousand, two hundred twenty".