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415225231304 = 2313436710113721
BaseRepresentation
bin1100000101011010101…
…10100011011111001000
31110200202202112020221112
412002231112203133020
523300340124400204
6514430221425452
741666445142322
oct6025526433710
91420682466845
10415225231304
111501068aaa94
126858210b288
1330203a36c50
1416150296612
15ac0339d26e
hex60ad5a37c8

415225231304 has 128 divisors (see below), whose sum is σ = 879424318080. Its totient is φ = 182552832000.

The previous prime is 415225231303. The next prime is 415225231339. The reversal of 415225231304 is 403132522514.

It is a super-2 number, since 2×4152252313042 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (415225231303) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30255164 + ... + 30268884.

It is an arithmetic number, because the mean of its divisors is an integer number (6870502485).

Almost surely, 2415225231304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415225231304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439712159040).

415225231304 is an abundant number, since it is smaller than the sum of its proper divisors (464199086776).

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

415225231304 is a wasteful number, since it uses less digits than its factorization.

415225231304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13951 (or 13947 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 415225231304 its reverse (403132522514), we get a palindrome (818357753818).

The spelling of 415225231304 in words is "four hundred fifteen billion, two hundred twenty-five million, two hundred thirty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 26 43 52 67 86 101 104 134 172 202 268 344 404 536 559 808 871 1118 1313 1742 2236 2626 2881 3484 4343 4472 5252 5762 6767 6968 8686 10504 11524 13534 13721 17372 23048 27068 27442 34744 37453 54136 54884 56459 74906 87971 109768 112918 149812 175942 178373 225836 290981 299624 351884 356746 451672 581962 590003 703768 713492 919307 1163924 1180006 1385821 1426984 1838614 2327848 2360012 2771642 3677228 3782753 4720024 5543284 7354456 7565506 7670039 11086568 11950991 15131012 15340078 18015673 23901982 30262024 30680156 36031346 39530201 47803964 59590303 61360312 72062692 79060402 92850007 95607928 119180606 144125384 158120804 185700014 238361212 316241608 371400028 476722424 513892613 742800056 774673939 1027785226 1207050091 1549347878 2055570452 2414100182 3098695756 3992550301 4111140904 4828200364 6197391512 7985100602 9656400728 15970201204 31940402408 51903153913 103806307826 207612615652 415225231304