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1413042330 = 23575921933
BaseRepresentation
bin101010000111001…
…0101000010011010
310122110212222200010
41110032111002122
510343214323310
6352114222350
750005442640
oct12416250232
93573788603
101413042330
11665697687
123352849b6
1319699702b
14d5949190
15840be320
hex5439509a

1413042330 has 96 divisors (see below), whose sum is σ = 3944617344. Its totient is φ = 317342592.

The previous prime is 1413042311. The next prime is 1413042343. The reversal of 1413042330 is 332403141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1413042297 and 1413042306.

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 47 ways as a sum of consecutive naturals, for example, 730044 + ... + 731976.

It is an arithmetic number, because the mean of its divisors is an integer number (41089764).

Almost surely, 21413042330 is an apocalyptic number.

1413042330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413042330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972308672).

1413042330 is an abundant number, since it is smaller than the sum of its proper divisors (2531575014).

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

1413042330 is a wasteful number, since it uses less digits than its factorization.

1413042330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1413042330 is about 37590.4553045052. The cubic root of 1413042330 is about 1122.1520934766.

Adding to 1413042330 its reverse (332403141), we get a palindrome (1745445471).

The spelling of 1413042330 in words is "one billion, four hundred thirteen million, forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1770 1933 2065 2478 3481 3866 4130 5799 6195 6962 9665 10443 11598 12390 13531 17405 19330 20886 24367 27062 28995 34810 40593 48734 52215 57990 67655 73101 81186 104430 114047 121835 135310 146202 202965 228094 243670 342141 365505 405930 570235 684282 731010 798329 1140470 1596658 1710705 2394987 3421410 3991645 4789974 6728773 7983290 11974935 13457546 20186319 23949870 33643865 40372638 47101411 67287730 94202822 100931595 141304233 201863190 235507055 282608466 471014110 706521165 1413042330