Search a number
-
+
16342047703296 = 28337337757269
BaseRepresentation
bin1110110111001110110111…
…1100101100000100000000
32010212021200101212110211000
43231303231330230010000
54120222003203001141
654431233313252000
73304450114354320
oct355635574540400
963767611773730
1016342047703296
11523069498a587
1219bb246864000
139170826a6713
14406d60583280
151d5162c085b6
hexedcedf2c100

16342047703296 has 144 divisors (see below), whose sum is σ = 55230068790400. Its totient is φ = 4669156472832.

The previous prime is 16342047703211. The next prime is 16342047703313. The reversal of 16342047703296 is 69230774024361.

It is a happy number.

16342047703296 is a `hidden beast` number, since 1 + 6 + 34 + 20 + 477 + 0 + 32 + 96 = 666.

16342047703296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×163420477032963 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 168830251 + ... + 168927018.

Almost surely, 216342047703296 is an apocalyptic number.

16342047703296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16342047703296 is an abundant number, since it is smaller than the sum of its proper divisors (38888021087104).

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

16342047703296 is an equidigital number, since it uses as much as digits as its factorization.

16342047703296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337757301 (or 337757281 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 16342047703296 in words is "sixteen trillion, three hundred forty-two billion, forty-seven million, seven hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 337757269 675514538 1013271807 1351029076 2026543614 2364300883 2702058152 3039815421 4053087228 4728601766 5404116304 6079630842 7092902649 8106174456 9119446263 9457203532 10808232608 12159261684 14185805298 16212348912 18238892526 18914407064 21278707947 21616465216 24318523368 28371610596 32424697824 36477785052 37828814128 42557415894 43232930432 48637046736 56743221192 63836123841 64849395648 72955570104 75657628256 85114831788 86465860864 97274093472 113486442384 127672247682 129698791296 145911140208 151315256512 170229663576 194548186944 226972884768 255344495364 259397582592 291822280416 302630513024 340459327152 389096373888 453945769536 510688990728 583644560832 605261026048 680918654304 778192747776 907891539072 1021377981456 1167289121664 1361837308608 1815783078144 2042755962912 2334578243328 2723674617216 4085511925824 5447349234432 8171023851648 16342047703296