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14219143805584 = 24792119332
BaseRepresentation
bin1100111011101010011100…
…0000111111101010010000
31212100100002120122201120101
43032322213000333222100
53330431301303234314
650124103503222144
72665204432100614
oct316724700775220
955310076581511
1014219143805584
114592339a93313
1217179225a7954
137c1b23451123
143722d2c3d344
15199d14d66174
hexceea703fa90

14219143805584 has 45 divisors (see below), whose sum is σ = 27905072895273. Its totient is φ = 7018989072576.

The previous prime is 14219143805579. The next prime is 14219143805609. The reversal of 14219143805584 is 48550834191241.

The square root of 14219143805584 is 3770828.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12005809203600 + 2213334601984 = 3464940^2 + 1487728^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1191575682 + ... + 1191587614.

Almost surely, 214219143805584 is an apocalyptic number.

14219143805584 is the 3770828-th square number.

It is an amenable number.

14219143805584 is a deficient number, since it is larger than the sum of its proper divisors (13685929089689).

14219143805584 is an frugal number, since it uses more digits than its factorization.

14219143805584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24032 (or 12014 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 55.

The spelling of 14219143805584 in words is "fourteen trillion, two hundred nineteen billion, one hundred forty-three million, eight hundred five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 79 158 316 632 1264 6241 11933 12482 23866 24964 47732 49928 95464 99856 190928 942707 1885414 3770828 7541656 15083312 74473853 142396489 148947706 284792978 297895412 569585956 595790824 1139171912 1191581648 2278343824 11249322631 22498645262 44997290524 89994581048 179989162096 888696487849 1777392975698 3554785951396 7109571902792 14219143805584