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5434040640 = 26357808637
BaseRepresentation
bin1010000111110010…
…01110000101000000
3112000201002212101110
411003321032011000
542112103300030
62255114203320
7251442404040
oct50371160500
915021085343
105434040640
112339413186
121077a23540
13687a5b382
143979a7720
1521c0e11b0
hex143e4e140

5434040640 has 112 divisors (see below), whose sum is σ = 19717828992. Its totient is φ = 1242064896.

The previous prime is 5434040629. The next prime is 5434040653. The reversal of 5434040640 is 460404345.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5434040598 and 5434040607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397599 + ... + 411038.

Almost surely, 25434040640 is an apocalyptic number.

It is an amenable number.

5434040640 is an abundant number, since it is smaller than the sum of its proper divisors (14283788352).

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

5434040640 is a wasteful number, since it uses less digits than its factorization.

5434040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808664 (or 808654 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 5434040640 is about 73715.9456291514. The cubic root of 5434040640 is about 1758.0894212003.

Adding to 5434040640 its reverse (460404345), we get a palindrome (5894444985).

The spelling of 5434040640 in words is "five billion, four hundred thirty-four million, forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 808637 1617274 2425911 3234548 4043185 4851822 5660459 6469096 8086370 9703644 11320918 12129555 12938192 16172740 16981377 19407288 22641836 24259110 25876384 28302295 32345480 33962754 38814576 45283672 48518220 51752768 56604590 64690960 67925508 77629152 84906885 90567344 97036440 113209180 129381920 135851016 155258304 169813770 181134688 194072880 226418360 258763840 271702032 339627540 362269376 388145760 452836720 543404064 679255080 776291520 905673440 1086808128 1358510160 1811346880 2717020320 5434040640