Search a number
-
+
14512144212045 = 3251728697661049
BaseRepresentation
bin1101001100101101111100…
…1100110110000001001101
31220101100101021121120002100
43103023133030312001031
53400231332404241140
650510441554545313
73025316314336104
oct323133714660115
956340337546070
1014512144212045
114695625093367
121764673898239
13813649089abc
1438256a4cd03b
151a2762c8b530
hexd32df33604d

14512144212045 has 48 divisors (see below), whose sum is σ = 26635021311600. Its totient is φ = 7284262428672.

The previous prime is 14512144212037. The next prime is 14512144212101. The reversal of 14512144212045 is 54021244121541.

It is a happy number.

14512144212045 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 2 + 1 + 442 + 1 + 204 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 862747460964 + 13649396751081 = 928842^2 + 3694509^2 .

It is not a de Polignac number, because 14512144212045 - 23 = 14512144212037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21622681 + ... + 22283729.

It is an arithmetic number, because the mean of its divisors is an integer number (554896277325).

Almost surely, 214512144212045 is an apocalyptic number.

14512144212045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14512144212045 is a deficient number, since it is larger than the sum of its proper divisors (12122877099555).

14512144212045 is a wasteful number, since it uses less digits than its factorization.

14512144212045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689774 (or 689771 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 14512144212045 its reverse (54021244121541), we get a palindrome (68533388333586).

The spelling of 14512144212045 in words is "fourteen trillion, five hundred twelve billion, one hundred forty-four million, two hundred twelve thousand, forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 28697 86091 143485 258273 430455 487849 661049 1291365 1463547 1983147 2439245 3305245 4390641 5949441 7317735 9915735 11237833 21953205 29747205 33713499 56189165 101140497 168567495 505702485 18970123153 56910369459 94850615765 170731108377 284551847295 322492093601 853655541885 967476280803 1612460468005 2902428842409 4837381404015 14512144212045