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1415130340416 = 263131720332957
BaseRepresentation
bin10100100101111100010…
…101110101110001000000
312000021200212101201121020
4110211330111311301000
5141141141331343131
63002034002225440
7204145151265462
oct24457425656100
95007625351536
101415130340416
114a6176203a61
121aa318355280
13a35a545a620
144c6c7c7c132
1526c2661d996
hex1497c575c40

1415130340416 has 112 divisors (see below), whose sum is σ = 4032571080384. Its totient is φ = 435386198016.

The previous prime is 1415130340381. The next prime is 1415130340453. The reversal of 1415130340416 is 6140430315141.

It is a super-3 number, since 3×14151303404163 (a number of 37 digits) contains 333 as substring.

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, 42922210 + ... + 42955166.

It is an arithmetic number, because the mean of its divisors is an integer number (36005098932).

Almost surely, 21415130340416 is an apocalyptic number.

1415130340416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1415130340416 is an abundant number, since it is smaller than the sum of its proper divisors (2617440739968).

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

1415130340416 is a wasteful number, since it uses less digits than its factorization.

1415130340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50188 (or 50178 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 1415130340416 its reverse (6140430315141), we get a palindrome (7555560655557).

The spelling of 1415130340416 in words is "one trillion, four hundred fifteen billion, one hundred thirty million, three hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 17203 32957 34406 51609 65914 68812 98871 103218 131828 137624 197742 206436 223639 263656 275248 395484 412872 428441 447278 527312 550496 670917 790968 825744 856882 894556 1054624 1100992 1285323 1341834 1581936 1651488 1713764 1789112 2109248 2570646 2683668 3163872 3302976 3427528 3578224 5141292 5367336 6327744 6855056 7156448 10282584 10734672 13710112 14312896 20565168 21469344 27420224 41130336 42938688 82260672 566959271 1133918542 1700877813 2267837084 3401755626 4535674168 6803511252 7370470523 9071348336 13607022504 14740941046 18142696672 22111411569 27214045008 29481882092 36285393344 44222823138 54428090016 58963764184 88445646276 108856180032 117927528368 176891292552 235855056736 353782585104 471710113472 707565170208 1415130340416