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42505301344 = 2511182366239
BaseRepresentation
bin100111100101100000…
…110110110101100000
311001201021020000212011
4213211200312311200
51144022324120334
631305432042304
73033215046232
oct474540666540
9131637200764
1042505301344
1117032153020
1282a2b33394
1340151199ac
1420b31dc252
15118b90d564
hex9e5836d60

42505301344 has 48 divisors (see below), whose sum is σ = 91341250560. Its totient is φ = 19309701760.

The previous prime is 42505301327. The next prime is 42505301353. The reversal of 42505301344 is 44310350524.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608577 + ... + 674815.

It is an arithmetic number, because the mean of its divisors is an integer number (1902942720).

Almost surely, 242505301344 is an apocalyptic number.

42505301344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42505301344 is an abundant number, since it is smaller than the sum of its proper divisors (48835949216).

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

42505301344 is a wasteful number, since it uses less digits than its factorization.

42505301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68083 (or 68075 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 42505301344 its reverse (44310350524), we get a palindrome (86815651868).

The spelling of 42505301344 in words is "forty-two billion, five hundred five million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1823 3646 7292 14584 20053 29168 40106 58336 66239 80212 132478 160424 264956 320848 529912 641696 728629 1059824 1457258 2119648 2914516 5829032 11658064 23316128 120753697 241507394 483014788 966029576 1328290667 1932059152 2656581334 3864118304 5313162668 10626325336 21252650672 42505301344