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14414110304 = 2511231780399
BaseRepresentation
bin11010110110010010…
…11101111001100000
31101012112200200010012
431123021131321200
5214010003012204
610342144224052
71020123626126
oct153311357140
941175620105
1014414110304
116127431460
12296330b028
131489350b69
149aa4b1916
1559568276e
hex35b25de60

14414110304 has 48 divisors (see below), whose sum is σ = 32303577600. Its totient is φ = 6267000960.

The previous prime is 14414110303. The next prime is 14414110307. The reversal of 14414110304 is 40301141441.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 14414110304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414110303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882104 + ... + 898295.

It is an arithmetic number, because the mean of its divisors is an integer number (672991200).

Almost surely, 214414110304 is an apocalyptic number.

It is an amenable number.

14414110304 is an abundant number, since it is smaller than the sum of its proper divisors (17889467296).

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

14414110304 is a wasteful number, since it uses less digits than its factorization.

14414110304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780443 (or 1780435 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 14414110304 its reverse (40301141441), we get a palindrome (54715251745).

The spelling of 14414110304 in words is "fourteen billion, four hundred fourteen million, one hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 1780399 3560798 7121596 14243192 19584389 28486384 39168778 40949177 56972768 78337556 81898354 156675112 163796708 313350224 327593416 450440947 626700448 655186832 900881894 1310373664 1801763788 3603527576 7207055152 14414110304