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141821423202816 = 293473677271831
BaseRepresentation
bin100000001111110001011111…
…100011010011001000000000
3200121010222212211100011120000
4200033301133203103020000
5122042100233314442231
61221343510135320000
741605155035045310
oct4017613743231000
9617128784304500
10141821423202816
1141209145137225
1213aa5b37820000
13611991a144176
14270429cdb3440
15115e179bda6e6
hex80fc5f8d3200

141821423202816 has 800 divisors, whose sum is σ = 486021697953792. Its totient is φ = 40332372664320.

The previous prime is 141821423202799. The next prime is 141821423202827. The reversal of 141821423202816 is 618202324128141.

141821423202816 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 2 + 1 + 42 + 320 + 281 + 6 = 666.

It is a super-2 number, since 2×1418214232028162 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77455719021 + ... + 77455720851.

Almost surely, 2141821423202816 is an apocalyptic number.

141821423202816 is a gapful number since it is divisible by the number (16) 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 141821423202816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243010848976896).

141821423202816 is an abundant number, since it is smaller than the sum of its proper divisors (344200274750976).

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

141821423202816 is an equidigital number, since it uses as much as digits as its factorization.

141821423202816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 141821423202816 in words is "one hundred forty-one trillion, eight hundred twenty-one billion, four hundred twenty-three million, two hundred two thousand, eight hundred sixteen".