Search a number
-
+
14132204214304 = 251195869418783
BaseRepresentation
bin1100110110100110100100…
…0000110001100000100000
31212001000200121110212222011
43031221221000301200200
53323020223234324204
650020124530122304
72656006123545511
oct315515100614040
955030617425864
1014132204214304
114559485942630
121702aba720394
137b68796a43a7
1436c006590a08
15197927512304
hexcda69031820

14132204214304 has 48 divisors (see below), whose sum is σ = 30352509492480. Its totient is φ = 6423646844160.

The previous prime is 14132204214299. The next prime is 14132204214307. The reversal of 14132204214304 is 40341240223141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14132204214307) 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, 33536497 + ... + 33955279.

It is an arithmetic number, because the mean of its divisors is an integer number (632343947760).

Almost surely, 214132204214304 is an apocalyptic number.

It is an amenable number.

14132204214304 is an abundant number, since it is smaller than the sum of its proper divisors (16220305278176).

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

14132204214304 is a wasteful number, since it uses less digits than its factorization.

14132204214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514673 (or 514665 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 14132204214304 its reverse (40341240223141), we get a palindrome (54473444437445).

The spelling of 14132204214304 in words is "fourteen trillion, one hundred thirty-two billion, two hundred four million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 95869 191738 383476 418783 766952 837566 1054559 1533904 1675132 2109118 3067808 3350264 4218236 4606613 6700528 8436472 9213226 13401056 16872944 18426452 33745888 36852904 73705808 147411616 40148307427 80296614854 160593229708 321186459416 441631381697 642372918832 883262763394 1284745837664 1766525526788 3533051053576 7066102107152 14132204214304