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142055201882880 = 2836511131064593
BaseRepresentation
bin100000010011001011001101…
…110110001100001100000000
3200121222100022021011121000000
4200103023031312030030000
5122104413023140223010
61222043131524000000
741631102221043156
oct4023131566141400
9617870267147000
10142055201882880
1141299300100740
1213b232bb830000
1361359956396a0
1427117192c13d6
1511652ad8927c0
hex8132cdd8c300

142055201882880 has 1008 divisors, whose sum is σ = 599357036539296. Its totient is φ = 31788546785280.

The previous prime is 142055201882821. The next prime is 142055201882959. The reversal of 142055201882880 is 88288102550241.

142055201882880 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 5 + 520 + 18 + 8 + 28 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 132903864 + ... + 133968456.

It is an arithmetic number, because the mean of its divisors is an integer number (594600234662).

Almost surely, 2142055201882880 is an apocalyptic number.

142055201882880 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 142055201882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299678518269648).

142055201882880 is an abundant number, since it is smaller than the sum of its proper divisors (457301834656416).

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

142055201882880 is a wasteful number, since it uses less digits than its factorization.

142055201882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064656 (or 1064627 counting only the distinct ones).

The product of its (nonzero) digits is 3276800, while the sum is 54.

The spelling of 142055201882880 in words is "one hundred forty-two trillion, fifty-five billion, two hundred one million, eight hundred eighty-two thousand, eight hundred eighty".