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14204011440 = 2435529711173
BaseRepresentation
bin11010011101010000…
…00000001110110000
31100122220100112122210
431032220000032300
5213042211331230
610305241132120
71011663051033
oct151650001660
940586315583
1014204011440
116029881033
122904a8a040
13145496bcc8
1498a62101a
15581ed0eb0
hex34ea003b0

14204011440 has 80 divisors (see below), whose sum is σ = 44044689888. Its totient is φ = 3786682368.

The previous prime is 14204011391. The next prime is 14204011441. The reversal of 14204011440 is 4411040241.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (14204011441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265694 + ... + 1276866.

Almost surely, 214204011440 is an apocalyptic number.

14204011440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14204011440 is an abundant number, since it is smaller than the sum of its proper divisors (29840678448).

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

14204011440 is a wasteful number, since it uses less digits than its factorization.

14204011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16486 (or 16480 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14204011440 its reverse (4411040241), we get a palindrome (18615051681).

The spelling of 14204011440 in words is "fourteen billion, two hundred four million, eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5297 10594 11173 15891 21188 22346 26485 31782 33519 42376 44692 52970 55865 63564 67038 79455 84752 89384 105940 111730 127128 134076 158910 167595 178768 211880 223460 254256 268152 317820 335190 423760 446920 536304 635640 670380 893840 1271280 1340760 2681520 59183381 118366762 177550143 236733524 295916905 355100286 473467048 591833810 710200572 887750715 946934096 1183667620 1420401144 1775501430 2367335240 2840802288 3551002860 4734670480 7102005720 14204011440