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14111403408 = 2432731342409
BaseRepresentation
bin11010010010001101…
…01110110110010000
31100102110002120022200
431021012232312100
5212400004402113
610252132203200
71006456643544
oct151106566620
940373076280
1014111403408
115a91579273
122899a69500
13143b715c5b
1497c1d5a24
15578cdb873
hex3491aed90

14111403408 has 60 divisors (see below), whose sum is σ = 40033351020. Its totient is φ = 4639362048.

The previous prime is 14111403407. The next prime is 14111403413. The reversal of 14111403408 is 80430411141.

14111403408 is a `hidden beast` number, since 141 + 114 + 0 + 3 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5686366464 + 8425036944 = 75408^2 + 91788^2 .

It is a super-2 number, since 2×141114034082 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14111403407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 660693 + ... + 681716.

It is an arithmetic number, because the mean of its divisors is an integer number (667222517).

Almost surely, 214111403408 is an apocalyptic number.

14111403408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14111403408 is an abundant number, since it is smaller than the sum of its proper divisors (25921947612).

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

14111403408 is a wasteful number, since it uses less digits than its factorization.

14111403408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342496 (or 1342487 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 14111403408 its reverse (80430411141), we get a palindrome (94541814549).

The spelling of 14111403408 in words is "fourteen billion, one hundred eleven million, four hundred three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 1342409 2684818 4027227 5369636 8054454 10739272 12081681 16108908 21478544 24163362 32217816 48326724 64435632 96653448 97995857 193306896 195991714 293987571 391983428 587975142 783966856 881962713 1175950284 1567933712 1763925426 2351900568 3527850852 4703801136 7055701704 14111403408