Search a number
-
+
16341194409120 = 25335723315091489
BaseRepresentation
bin1110110111001011101100…
…0101101000010010100000
32010212012110221020122021000
43231302323011220102200
54120213231232042440
654431012512232000
73304420013443230
oct355627305502240
963765427218230
1016341194409120
115230297258a89
1219bb048b3b600
13916c77983c19
14406cbd103cc0
151d5112d55730
hexedcbb1684a0

16341194409120 has 1536 divisors, whose sum is σ = 70592643072000. Its totient is φ = 3448373575680.

The previous prime is 16341194409101. The next prime is 16341194409149. The reversal of 16341194409120 is 2190449114361.

It is a happy number.

16341194409120 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 119 + 4 + 409 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10974609336 + ... + 10974610824.

It is an arithmetic number, because the mean of its divisors is an integer number (45958752000).

Almost surely, 216341194409120 is an apocalyptic number.

16341194409120 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 16341194409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35296321536000).

16341194409120 is an abundant number, since it is smaller than the sum of its proper divisors (54251448662880).

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

16341194409120 is a wasteful number, since it uses less digits than its factorization.

16341194409120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16341194409120 in words is "sixteen trillion, three hundred forty-one billion, one hundred ninety-four million, four hundred nine thousand, one hundred twenty".