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163141211361420 = 223357317977230213
BaseRepresentation
bin100101000110000001000101…
…111100111001000010001100
3210101122010222112001201221000
4211012001011330321002030
5132340401200102031140
61334550012102140300
746235364205252245
oct4506010574710214
9711563875051830
10163141211361420
1147a88887804936
1216369a39721690
1370051c5057c06
142c401108b9ccc
1513cda25d19a30
hex946045f3908c

163141211361420 has 192 divisors, whose sum is σ = 514534036141440. Its totient is φ = 42905800175616.

The previous prime is 163141211361319. The next prime is 163141211361431. The reversal of 163141211361420 is 24163112141361.

163141211361420 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 4 + 1 + 2 + 1 + 13 + 614 + 20 = 666.

163141211361420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1631412113614203 (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 708538234 + ... + 708768446.

It is an arithmetic number, because the mean of its divisors is an integer number (2679864771570).

Almost surely, 2163141211361420 is an apocalyptic number.

163141211361420 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 163141211361420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257267018070720).

163141211361420 is an abundant number, since it is smaller than the sum of its proper divisors (351392824780020).

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

163141211361420 is a wasteful number, since it uses less digits than its factorization.

163141211361420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248281 (or 248273 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 163141211361420 in words is "one hundred sixty-three trillion, one hundred forty-one billion, two hundred eleven million, three hundred sixty-one thousand, four hundred twenty".