Search a number
-
+
1045512054000 = 243253414872909
BaseRepresentation
bin11110011011011010101…
…11111110010011110000
310200221122112101022120200
433031231113332103300
5114112202041212000
62120145051435200
7135351522554061
oct17155527762360
93627575338520
101045512054000
11373443330767
1214a763a55b00
137778c2c24cb
1438862ac8568
151c2e20ee500
hexf36d5fe4f0

1045512054000 has 480 divisors, whose sum is σ = 3749658756480. Its totient is φ = 271351296000.

The previous prime is 1045512053953. The next prime is 1045512054007. The reversal of 1045512054000 is 4502155401.

1045512054000 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 51 + 205 + 400 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045512054007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359404546 + ... + 359407454.

It is an arithmetic number, because the mean of its divisors is an integer number (7811789076).

Almost surely, 21045512054000 is an apocalyptic number.

1045512054000 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 1045512054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874829378240).

1045512054000 is an abundant number, since it is smaller than the sum of its proper divisors (2704146702480).

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

1045512054000 is a wasteful number, since it uses less digits than its factorization.

1045512054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 1045512054000 in words is "one trillion, forty-five billion, five hundred twelve million, fifty-four thousand".