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541724225440 = 2553385776409
BaseRepresentation
bin1111110001000010100…
…01111010111110100000
31220210021200200222101111
413320201101322332200
532333422400203230
61052510434113104
754065300640436
oct7704121727640
91823250628344
10541724225440
11199820225642
1288ba641b794
133c1134ac378
141c3107c0d56
15e158ba692a
hex7e2147afa0

541724225440 has 24 divisors (see below), whose sum is σ = 1279823482980. Its totient is φ = 216689690112.

The previous prime is 541724225429. The next prime is 541724225489. The reversal of 541724225440 is 44522427145.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 541643009296 + 81216144 = 735964^2 + 9012^2 .

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 = 541724225393 and 541724225402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1692888045 + ... + 1692888364.

Almost surely, 2541724225440 is an apocalyptic number.

It is an amenable number.

541724225440 is an abundant number, since it is smaller than the sum of its proper divisors (738099257540).

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

541724225440 is a wasteful number, since it uses less digits than its factorization.

541724225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385776424 (or 3385776416 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 40.

The spelling of 541724225440 in words is "five hundred forty-one billion, seven hundred twenty-four million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3385776409 6771552818 13543105636 16928882045 27086211272 33857764090 54172422544 67715528180 108344845088 135431056360 270862112720 541724225440