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1441341451040 = 25511379720213
BaseRepresentation
bin10100111110010110101…
…001010010101100100000
312002210100120020002212012
4110332112221102230200
5142103331402413130
63022050525252052
7206063533121561
oct24762651225440
95083316202765
101441341451040
115062a6745357
121b3412404028
13a5bc187853a
144da93008168
152775c7c3995
hex14f96a52b20

1441341451040 has 48 divisors (see below), whose sum is σ = 3435303461688. Its totient is φ = 571434479616.

The previous prime is 1441341451031. The next prime is 1441341451079. The reversal of 1441341451040 is 401541431441.

It can be written as a sum of positive squares in 4 ways, for example, as 748231920016 + 693109531024 = 865004^2 + 832532^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1441341450988 and 1441341451006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39842027 + ... + 39878186.

Almost surely, 21441341451040 is an apocalyptic number.

1441341451040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1441341451040 is an abundant number, since it is smaller than the sum of its proper divisors (1993962010648).

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

1441341451040 is a wasteful number, since it uses less digits than its factorization.

1441341451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79720341 (or 79720333 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 1441341451040 its reverse (401541431441), we get a palindrome (1842882882481).

The spelling of 1441341451040 in words is "one trillion, four hundred forty-one billion, three hundred forty-one million, four hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 18080 79720213 159440426 318880852 398601065 637761704 797202130 1275523408 1594404260 2551046816 3188808520 6377617040 9008384069 12755234080 18016768138 36033536276 45041920345 72067072552 90083840690 144134145104 180167681380 288268290208 360335362760 720670725520 1441341451040