Search a number
-
+
1994743480320 = 21734553709
BaseRepresentation
bin11101000001101111111…
…110100000000000000000
321001200210002202222120000
4131001233332200000000
5230140213312332240
64124212243320000
7264054413552553
oct35015776400000
97050702688500
101994743480320
116a9a69767848
12282717680000
1311614651c6b6
146c7906d669a
1536d4b7a5430
hex1d06ffa0000

1994743480320 has 720 divisors, whose sum is σ = 7296708462120. Its totient is φ = 521159049216.

The previous prime is 1994743480319. The next prime is 1994743480333. The reversal of 1994743480320 is 230843474991.

1994743480320 is a `hidden beast` number, since 1 + 9 + 94 + 7 + 43 + 480 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1440921747456 + 553821732864 = 1200384^2 + 744192^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 39 ways as a sum of consecutive naturals, for example, 2813460126 + ... + 2813460834.

Almost surely, 21994743480320 is an apocalyptic number.

1994743480320 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 1994743480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648354231060).

1994743480320 is an abundant number, since it is smaller than the sum of its proper divisors (5301964981800).

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

1994743480320 is an frugal number, since it uses more digits than its factorization.

1994743480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1994743480320 in words is "one trillion, nine hundred ninety-four billion, seven hundred forty-three million, four hundred eighty thousand, three hundred twenty".