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445035040000 = 28542781469
BaseRepresentation
bin1100111100111100010…
…01111100110100000000
31120112201020221102220021
412132132021330310000
524242412432240000
6540240221223224
744103245265505
oct6363611746400
91515636842807
10445035040000
11161813750521
1272301401b14
1332c7489a4c5
141777b3534ac
15b89a45911a
hex679e27cd00

445035040000 has 90 divisors (see below), whose sum is σ = 1110059643770. Its totient is φ = 178013952000.

The previous prime is 445035039989. The next prime is 445035040019. The reversal of 445035040000 is 40530544.

It can be written as a sum of positive squares in 5 ways, for example, as 176346244096 + 268688795904 = 419936^2 + 518352^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 1230735 + ... + 1550734.

Almost surely, 2445035040000 is an apocalyptic number.

445035040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445035040000 is an abundant number, since it is smaller than the sum of its proper divisors (665024603770).

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

445035040000 is an frugal number, since it uses more digits than its factorization.

445035040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781505 (or 2781476 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 445035040000 its reverse (40530544), we get a palindrome (445075570544).

The spelling of 445035040000 in words is "four hundred forty-five billion, thirty-five million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 2781469 5562938 11125876 13907345 22251752 27814690 44503504 55629380 69536725 89007008 111258760 139073450 178014016 222517520 278146900 347683625 356028032 445035040 556293800 695367250 712056064 890070080 1112587600 1390734500 1738418125 1780140160 2225175200 2781469000 3476836250 3560280320 4450350400 5562938000 6953672500 8900700800 11125876000 13907345000 17801401600 22251752000 27814690000 44503504000 55629380000 89007008000 111258760000 222517520000 445035040000