Search a number
-
+
10255454555040 = 2532523889334819
BaseRepresentation
bin1001010100111100100010…
…1110011100101110100000
31100022102010021001012210200
42111033020232130232200
52321011132331230130
633451142450425200
72105634503262012
oct225171056345640
940272107035720
1010255454555040
1132a434a8121a2
1211976aab92200
135951152a9076
1427651c1281b2
1512bb7ba51760
hex953c8b9cba0

10255454555040 has 288 divisors, whose sum is σ = 36523491338880. Its totient is φ = 2615514789888.

The previous prime is 10255454554903. The next prime is 10255454555057. The reversal of 10255454555040 is 4055545455201.

It is a happy number.

10255454555040 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 5 + 4 + 54 + 5 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 294518751 + ... + 294553569.

It is an arithmetic number, because the mean of its divisors is an integer number (126817678260).

Almost surely, 210255454555040 is an apocalyptic number.

10255454555040 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 10255454555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18261745669440).

10255454555040 is an abundant number, since it is smaller than the sum of its proper divisors (26268036783840).

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

10255454555040 is a wasteful number, since it uses less digits than its factorization.

10255454555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43756 (or 43745 counting only the distinct ones).

The product of its (nonzero) digits is 2000000, while the sum is 45.

The spelling of 10255454555040 in words is "ten trillion, two hundred fifty-five billion, four hundred fifty-four million, five hundred fifty-five thousand, forty".