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1445503055040 = 263251131989223
BaseRepresentation
bin10101000010001110101…
…100100011010011000000
312010012002121000111022200
4111002032230203103000
5142140342240230130
63024015511033200
7206301625145052
oct25021654432300
95105077014280
101445503055040
11508041877000
121b419406b800
13a6405acc805
144dd699c78d2
1527902d1b760
hex1508eb234c0

1445503055040 has 1344 divisors, whose sum is σ = 5847361228800. Its totient is φ = 326779453440.

The previous prime is 1445503055011. The next prime is 1445503055053. The reversal of 1445503055040 is 405503055441.

1445503055040 is a `hidden beast` number, since 14 + 4 + 5 + 50 + 3 + 0 + 550 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1445503054986 and 1445503055004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6482076369 + ... + 6482076591.

It is an arithmetic number, because the mean of its divisors is an integer number (4350715200).

Almost surely, 21445503055040 is an apocalyptic number.

1445503055040 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 1445503055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923680614400).

1445503055040 is an abundant number, since it is smaller than the sum of its proper divisors (4401858173760).

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

1445503055040 is a wasteful number, since it uses less digits than its factorization.

1445503055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 1445503055040 in words is "one trillion, four hundred forty-five billion, five hundred three million, fifty-five thousand, forty".