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541493200144 = 24132200256361
BaseRepresentation
bin1111110000100111000…
…00101000010100010000
31220202200120222200021001
413320103200220110100
532332434224401034
61052431502311344
754056464154341
oct7702340502420
91822616880231
10541493200144
11199711881946
1288b40b88554
133c0a7681500
141c2cbc440c8
15e14376ea14
hex7e13828510

541493200144 has 30 divisors (see below), whose sum is σ = 1136054341626. Its totient is φ = 249919937280.

The previous prime is 541493200103. The next prime is 541493200163. The reversal of 541493200144 is 441002394145.

It can be written as a sum of positive squares in 3 ways, for example, as 18793119744 + 522700080400 = 137088^2 + 722980^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100125477 + ... + 100130884.

Almost surely, 2541493200144 is an apocalyptic number.

It is an amenable number.

541493200144 is an abundant number, since it is smaller than the sum of its proper divisors (594561141482).

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

541493200144 is a wasteful number, since it uses less digits than its factorization.

541493200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200256395 (or 200256376 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 541493200144 its reverse (441002394145), we get a palindrome (982495594289).

The spelling of 541493200144 in words is "five hundred forty-one billion, four hundred ninety-three million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 200256361 400512722 801025444 1602050888 2603332693 3204101776 5206665386 10413330772 20826661544 33843325009 41653323088 67686650018 135373300036 270746600072 541493200144