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42302303324240 = 24540110853121501
BaseRepresentation
bin10011001111001010001011…
…10000110100100001010000
312112210001122020210212212212
421213211011300310201100
521021040104122333430
6225545224310411252
711624145340312241
oct1147450560644120
9175701566725785
1042302303324240
111252a340453803
1248b2577960b28
131a7b122bc798b
14a63629d62cc8
154d55a76d4b95
hex267945c34850

42302303324240 has 80 divisors (see below), whose sum is σ = 98608020642576. Its totient is φ = 16877030400000.

The previous prime is 42302303324207. The next prime is 42302303324257. The reversal of 42302303324240 is 4242330320324.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4034618580496 + 38267684743744 = 2008636^2 + 6186088^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42302303324197 and 42302303324206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348103490 + ... + 348224990.

Almost surely, 242302303324240 is an apocalyptic number.

42302303324240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42302303324240 is an abundant number, since it is smaller than the sum of its proper divisors (56305717318336).

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

42302303324240 is a wasteful number, since it uses less digits than its factorization.

42302303324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132768 (or 132762 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 42302303324240 its reverse (4242330320324), we get a palindrome (46544633644564).

The spelling of 42302303324240 in words is "forty-two trillion, three hundred two billion, three hundred three million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 401 802 1604 2005 3208 4010 6416 8020 10853 16040 21706 32080 43412 54265 86824 108530 121501 173648 217060 243002 434120 486004 607505 868240 972008 1215010 1944016 2430020 4352053 4860040 8704106 9720080 17408212 21760265 34816424 43520530 48721901 69632848 87041060 97443802 174082120 194887604 243609505 348164240 389775208 487219010 779550416 974438020 1318650353 1948876040 2637300706 3897752080 5274601412 6593251765 10549202824 13186503530 21098405648 26373007060 52746014120 105492028240 528778791553 1057557583106 2115115166212 2643893957765 4230230332424 5287787915530 8460460664848 10575575831060 21151151662120 42302303324240