Search a number
-
+
14463021360 = 2435129146679
BaseRepresentation
bin11010111100001000…
…00011000100110000
31101022221201121110210
431132010003010300
5214110013140420
610351052424120
71021256440014
oct153604030460
941287647423
1014463021360
116151aa9017
122977778040
131496517708
149b2ba4544
15599ae49e0
hex35e103130

14463021360 has 80 divisors (see below), whose sum is σ = 44871056640. Its totient is φ = 3853735680.

The previous prime is 14463021347. The next prime is 14463021367. The reversal of 14463021360 is 6312036441.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14463021367) 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, 286501 + ... + 333179.

It is an arithmetic number, because the mean of its divisors is an integer number (560888208).

Almost surely, 214463021360 is an apocalyptic number.

14463021360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14463021360 is an abundant number, since it is smaller than the sum of its proper divisors (30408035280).

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

14463021360 is a wasteful number, since it uses less digits than its factorization.

14463021360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47986 (or 47980 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 14463021360 in words is "fourteen billion, four hundred sixty-three million, twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1291 2582 3873 5164 6455 7746 10328 12910 15492 19365 20656 25820 30984 38730 46679 51640 61968 77460 93358 103280 140037 154920 186716 233395 280074 309840 373432 466790 560148 700185 746864 933580 1120296 1400370 1867160 2240592 2800740 3734320 5601480 11202960 60262589 120525178 180787767 241050356 301312945 361575534 482100712 602625890 723151068 903938835 964201424 1205251780 1446302136 1807877670 2410503560 2892604272 3615755340 4821007120 7231510680 14463021360