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14130331544 = 2374734915383
BaseRepresentation
bin11010010100011101…
…11011111110011000
31100110202201012211202
431022032323332120
5212414331102134
610254050013332
71010106556610
oct151216737630
940422635752
1014130331544
115aa122725a
1228a4277248
131442612534
14980921a40
1557a7c9d7e
hex34a3bbf98

14130331544 has 64 divisors (see below), whose sum is σ = 31014144000. Its totient is φ = 5909641344.

The previous prime is 14130331513. The next prime is 14130331549. The reversal of 14130331544 is 44513303141.

It is a happy number.

It is a super-2 number, since 2×141303315442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130331549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 910877 + ... + 926259.

It is an arithmetic number, because the mean of its divisors is an integer number (484596000).

Almost surely, 214130331544 is an apocalyptic number.

14130331544 is a gapful number since it is divisible by the number (14) 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 14130331544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15507072000).

14130331544 is an abundant number, since it is smaller than the sum of its proper divisors (16883812456).

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

14130331544 is a wasteful number, since it uses less digits than its factorization.

14130331544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15792 (or 15788 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 14130331544 its reverse (44513303141), we get a palindrome (58643634685).

The spelling of 14130331544 in words is "fourteen billion, one hundred thirty million, three hundred thirty-one thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 349 376 658 698 1316 1396 2443 2632 2792 4886 9772 15383 16403 19544 30766 32806 61532 65612 107681 114821 123064 131224 215362 229642 430724 459284 723001 861448 918568 1446002 2892004 5061007 5368667 5784008 10122014 10737334 20244028 21474668 37580669 40488056 42949336 75161338 150322676 252327349 300645352 504654698 1009309396 1766291443 2018618792 3532582886 7065165772 14130331544