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14830842384 = 2432718317477
BaseRepresentation
bin11011100111111110…
…01011001000010000
31102021120211212001200
431303333023020100
5220333143424014
610451352231200
71033344036351
oct156377131020
942246755050
1014830842384
116320695436
122a5a99b500
1315247a02a7
14a0998dd28
155bc04da09
hex373fcb210

14830842384 has 120 divisors (see below), whose sum is σ = 42599898432. Its totient is φ = 4814987520.

The previous prime is 14830842361. The next prime is 14830842413. The reversal of 14830842384 is 48324803841.

It is a happy number.

14830842384 is a `hidden beast` number, since 148 + 3 + 0 + 8 + 423 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839854 + ... + 857330.

Almost surely, 214830842384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14830842384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21299949216).

14830842384 is an abundant number, since it is smaller than the sum of its proper divisors (27769056048).

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

14830842384 is a wasteful number, since it uses less digits than its factorization.

14830842384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17645 (or 17636 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 14830842384 in words is "fourteen billion, eight hundred thirty million, eight hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 83 142 144 166 213 249 284 332 426 498 568 639 664 747 852 996 1136 1278 1328 1494 1704 1992 2556 2988 3408 3984 5112 5893 5976 10224 11786 11952 17477 17679 23572 34954 35358 47144 52431 53037 69908 70716 94288 104862 106074 139816 141432 157293 209724 212148 279632 282864 314586 419448 424296 629172 838896 848592 1240867 1258344 1450591 2481734 2516688 2901182 3722601 4351773 4963468 5802364 7445202 8703546 9926936 11167803 11604728 13055319 14890404 17407092 19853872 22335606 23209456 26110638 29780808 34814184 44671212 52221276 59561616 69628368 89342424 102991961 104442552 178684848 205983922 208885104 308975883 411967844 617951766 823935688 926927649 1235903532 1647871376 1853855298 2471807064 3707710596 4943614128 7415421192 14830842384