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14505004240 = 2452943145399
BaseRepresentation
bin11011000001001000…
…01100110011010000
31101102212201120011021
431200210030303100
5214201240113430
610355152325224
71022306334046
oct154044146320
941385646137
1014505004240
116173773411
122989843814
1314a212695c
149b85b2396
1559d63907a
hex36090ccd0

14505004240 has 80 divisors (see below), whose sum is σ = 35698608000. Its totient is φ = 5471617536.

The previous prime is 14505004223. The next prime is 14505004243. The reversal of 14505004240 is 4240050541.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14505004243) 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, 27061 + ... + 172459.

It is an arithmetic number, because the mean of its divisors is an integer number (446232600).

Almost surely, 214505004240 is an apocalyptic number.

14505004240 is a gapful number since it is divisible by the number (10) 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 14505004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849304000).

14505004240 is an abundant number, since it is smaller than the sum of its proper divisors (21193603760).

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

14505004240 is a wasteful number, since it uses less digits than its factorization.

14505004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145484 (or 145478 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 14505004240 its reverse (4240050541), we get a palindrome (18745054781).

The spelling of 14505004240 in words is "fourteen billion, five hundred five million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 80 86 116 145 172 215 232 290 344 430 464 580 688 860 1160 1247 1720 2320 2494 3440 4988 6235 9976 12470 19952 24940 49880 99760 145399 290798 581596 726995 1163192 1453990 2326384 2907980 4216571 5815960 6252157 8433142 11631920 12504314 16866284 21082855 25008628 31260785 33732568 42165710 50017256 62521570 67465136 84331420 100034512 125043140 168662840 181312553 250086280 337325680 362625106 500172560 725250212 906562765 1450500424 1813125530 2901000848 3626251060 7252502120 14505004240