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44125125521440 = 255398776915817
BaseRepresentation
bin10100000100001101011100…
…11011101011000000100000
312210020022122212100210100111
422002012232123223000200
521240421224113141230
6233502445224301104
712202635513325345
oct1202065633530040
9183208585323314
1044125125521440
11130723a7020997
124b478b3311794
131b80c9b417282
14ac794b7787cc
15517be0b2a92a
hex2821ae6eb020

44125125521440 has 48 divisors (see below), whose sum is σ = 104248238297112. Its totient is φ = 17649605044224.

The previous prime is 44125125521371. The next prime is 44125125521461. The reversal of 44125125521440 is 4412552152144.

It can be written as a sum of positive squares in 4 ways, for example, as 38351812237456 + 5773313283984 = 6192884^2 + 2402772^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 44125125521393 and 44125125521402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2922412 + ... + 9838228.

Almost surely, 244125125521440 is an apocalyptic number.

44125125521440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44125125521440 is an abundant number, since it is smaller than the sum of its proper divisors (60123112775672).

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

44125125521440 is a wasteful number, since it uses less digits than its factorization.

44125125521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6955709 (or 6955701 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 40.

Adding to 44125125521440 its reverse (4412552152144), we get a palindrome (48537677673584).

The spelling of 44125125521440 in words is "forty-four trillion, one hundred twenty-five billion, one hundred twenty-five million, five hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 39877 79754 159508 199385 319016 398770 638032 797540 1276064 1595080 3190160 6380320 6915817 13831634 27663268 34579085 55326536 69158170 110653072 138316340 221306144 276632680 553265360 1106530720 275782034509 551564069018 1103128138036 1378910172545 2206256276072 2757820345090 4412512552144 5515640690180 8825025104288 11031281380360 22062562760720 44125125521440