Search a number
-
+
1043013421440 = 27335314345281
BaseRepresentation
bin11110010110110000111…
…00011100100110000000
310200201012101202122002000
433023120130130212000
5114042042413441230
62115053113224000
7135232562542044
oct17133034344600
93621171678060
101043013421440
11372380981081
1214a187102000
13774817515c3
14386a6d12024
151c1e7a93b60
hexf2d871c980

1043013421440 has 512 divisors, whose sum is σ = 3901931827200. Its totient is φ = 262899302400.

The previous prime is 1043013421361. The next prime is 1043013421451. The reversal of 1043013421440 is 441243103401.

1043013421440 is a `hidden beast` number, since 1 + 0 + 4 + 301 + 342 + 14 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23011600 + ... + 23056880.

It is an arithmetic number, because the mean of its divisors is an integer number (7620960600).

Almost surely, 21043013421440 is an apocalyptic number.

1043013421440 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 1043013421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950965913600).

1043013421440 is an abundant number, since it is smaller than the sum of its proper divisors (2858918405760).

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

1043013421440 is a wasteful number, since it uses less digits than its factorization.

1043013421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45383 (or 45365 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1043013421440 its reverse (441243103401), we get a palindrome (1484256524841).

The spelling of 1043013421440 in words is "one trillion, forty-three billion, thirteen million, four hundred twenty-one thousand, four hundred forty".