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16141411606320 = 243257112132198243
BaseRepresentation
bin1110101011100011011100…
…0110101101111100110000
32010011002210201122201022100
43222320313012231330300
54103430102332400240
654155132341340400
73254115140600220
oct352706706557460
963132721581270
1016141411606320
115163597056300
121988392107700
13901189660800
143db369c00080
151ced1d9d5e30
hexeae371adf30

16141411606320 has 2160 divisors, whose sum is σ = 77627749006080. Its totient is φ = 2932748881920.

The previous prime is 16141411606291. The next prime is 16141411606393. The reversal of 16141411606320 is 2360611414161.

16141411606320 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 1 + 4 + 1 + 16 + 0 + 632 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1958192119 + ... + 1958200361.

It is an arithmetic number, because the mean of its divisors is an integer number (35938772688).

Almost surely, 216141411606320 is an apocalyptic number.

16141411606320 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 16141411606320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38813874503040).

16141411606320 is an abundant number, since it is smaller than the sum of its proper divisors (61486337399760).

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

16141411606320 is a wasteful number, since it uses less digits than its factorization.

16141411606320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8303 counting only the distinct ones).

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

The spelling of 16141411606320 in words is "sixteen trillion, one hundred forty-one billion, four hundred eleven million, six hundred six thousand, three hundred twenty".