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1418361056 = 25722367587
BaseRepresentation
bin101010010001010…
…0111100011100000
310122211220012120222
41110202213203200
510401100023211
6352424222212
750101604300
oct12442474340
93584805528
101418361056
1166869a722
1233700a968
13197b09bc8
14d6531600
15847c01db
hex548a78e0

1418361056 has 144 divisors (see below), whose sum is σ = 3445981056. Its totient is φ = 571785984.

The previous prime is 1418361047. The next prime is 1418361101. The reversal of 1418361056 is 6501638141.

It is an alternating number because its digits alternate between odd and even.

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 23 ways as a sum of consecutive naturals, for example, 2415995 + ... + 2416581.

It is an arithmetic number, because the mean of its divisors is an integer number (23930424).

Almost surely, 21418361056 is an apocalyptic number.

1418361056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1418361056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722990528).

1418361056 is an abundant number, since it is smaller than the sum of its proper divisors (2027620000).

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

1418361056 is a wasteful number, since it uses less digits than its factorization.

1418361056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 1418361056 is about 37661.1345554007. The cubic root of 1418361056 is about 1123.5582666637.

Adding to 1418361056 its reverse (6501638141), we get a palindrome (7919999197).

The spelling of 1418361056 in words is "one billion, four hundred eighteen million, three hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 67 92 98 112 134 161 184 196 224 268 322 368 392 469 536 587 644 736 784 938 1072 1127 1174 1288 1541 1568 1876 2144 2254 2348 2576 3082 3283 3752 4109 4508 4696 5152 6164 6566 7504 8218 9016 9392 10787 12328 13132 13501 15008 16436 18032 18784 21574 24656 26264 27002 28763 32872 36064 39329 43148 49312 52528 54004 57526 65744 75509 78658 86296 94507 105056 108008 115052 131488 151018 157316 172592 189014 216016 230104 275303 302036 314632 345184 378028 432032 460208 550606 604072 629264 661549 756056 904567 920416 1101212 1208144 1258528 1323098 1512112 1809134 1927121 2202424 2416288 2646196 3024224 3618268 3854242 4404848 5292392 6331969 7236536 7708484 8809696 10584784 12663938 14473072 15416968 21169568 25327876 28946144 30833936 44323783 50655752 61667872 88647566 101311504 177295132 202623008 354590264 709180528 1418361056