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541043113644 = 22321112739107251
BaseRepresentation
bin1111101111110001010…
…11101011111010101100
31220201112020001220122200
413313320223223322230
532331024014114034
61052315103341500
754042360404655
oct7677053537254
91821466056580
10541043113644
11199500807230
1288a362b1890
133c035354337
141c28816252c
15e118eb5a99
hex7df8aebeac

541043113644 has 72 divisors (see below), whose sum is σ = 1492098404160. Its totient is φ = 163938060000.

The previous prime is 541043113609. The next prime is 541043113657. The reversal of 541043113644 is 446311340145.

541043113644 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 4 + 3 + 1 + 1 + 3 + 644 = 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 = 541043113599 and 541043113608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4991019 + ... + 5098269.

Almost surely, 2541043113644 is an apocalyptic number.

It is an amenable number.

541043113644 is an abundant number, since it is smaller than the sum of its proper divisors (951055290516).

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

541043113644 is a wasteful number, since it uses less digits than its factorization.

541043113644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120011 (or 120006 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 541043113644 its reverse (446311340145), we get a palindrome (987354453789).

The spelling of 541043113644 in words is "five hundred forty-one billion, forty-three million, one hundred thirteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 12739 25478 38217 50956 76434 107251 114651 140129 152868 214502 229302 280258 321753 420387 429004 458604 560516 643506 840774 965259 1179761 1261161 1287012 1681548 1930518 2359522 2522322 3539283 3861036 4719044 5044644 7078566 10617849 14157132 21235698 42471396 1366270489 2732540978 4098811467 5465081956 8197622934 12296434401 15028975379 16395245868 24592868802 30057950758 45086926137 49185737604 60115901516 90173852274 135260778411 180347704548 270521556822 541043113644