Search a number
-
+
1428398734464 = 27331331793063
BaseRepresentation
bin10100110010010011001…
…100101111110010000000
312001112221120012222111000
4110302103030233302000
5141400330034000324
63012110342052000
7205125023625162
oct24622314576200
95045846188430
101428398734464
11500864935879
121b09bba1a000
13a490b312170
144d1c6110932
15272513d99c9
hex14c9332fc80

1428398734464 has 128 divisors (see below), whose sum is σ = 4540049539200. Its totient is φ = 439507289088.

The previous prime is 1428398734429. The next prime is 1428398734471. The reversal of 1428398734464 is 4644378938241.

1428398734464 is a `hidden beast` number, since 1 + 4 + 2 + 83 + 98 + 7 + 3 + 4 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15851604 + ... + 15941459.

It is an arithmetic number, because the mean of its divisors is an integer number (35469137025).

Almost surely, 21428398734464 is an apocalyptic number.

It is an amenable number.

1428398734464 is an abundant number, since it is smaller than the sum of its proper divisors (3111650804736).

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

1428398734464 is a wasteful number, since it uses less digits than its factorization.

1428398734464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31793099 (or 31793081 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 1428398734464 in words is "one trillion, four hundred twenty-eight billion, three hundred ninety-eight million, seven hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 31793063 63586126 95379189 127172252 190758378 254344504 286137567 381516756 413309819 508689008 572275134 763033512 826619638 858412701 1017378016 1144550268 1239929457 1526067024 1653239276 1716825402 2034756032 2289100536 2479858914 3052134048 3306478552 3433650804 3719788371 4069512064 4578201072 4959717828 6104268096 6612957104 6867301608 7439576742 9156402144 9919435656 11159365113 12208536192 13225914208 13734603216 14879153484 18312804288 19838871312 22318730226 26451828416 27469206432 29758306968 36625608576 39677742624 44637460452 52903656832 54938412864 59516613936 79355485248 89274920904 109876825728 119033227872 158710970496 178549841808 238066455744 357099683616 476132911488 714199367232 1428398734464