Search a number
-
+
7340819235216 = 2432377244726293
BaseRepresentation
bin110101011010010101011…
…1011000100000110010000
3221222202221022111000001220
41222310222323010012100
51430232444211011331
623340154212325040
71355233225652325
oct152645273040620
927882838430056
107340819235216
1123802510a1185
129a6849613780
1341330c16594c
141b542467ab4c
15cae4176b296
hex6ad2aec4190

7340819235216 has 80 divisors (see below), whose sum is σ = 18980235972864. Its totient is φ = 2444817779712.

The previous prime is 7340819235193. The next prime is 7340819235287. The reversal of 7340819235216 is 6125329180437.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279179766 + ... + 279206058.

It is a 1-persistent number, because it is pandigital, but 2⋅7340819235216 = 14681638470432 is not.

Almost surely, 27340819235216 is an apocalyptic number.

It is an amenable number.

7340819235216 is an abundant number, since it is smaller than the sum of its proper divisors (11639416737648).

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

7340819235216 is a wasteful number, since it uses less digits than its factorization.

7340819235216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31128 (or 31122 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 7340819235216 in words is "seven trillion, three hundred forty billion, eight hundred nineteen million, two hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 2377 2447 4754 4894 7131 7341 9508 9788 14262 14682 19016 19576 26293 28524 29364 38032 39152 52586 57048 58728 78879 105172 114096 117456 157758 210344 315516 420688 631032 1262064 5816519 11633038 17449557 23266076 34899114 46532152 62498461 64338971 69798228 93064304 124996922 128677942 139596456 187495383 193016913 249993844 257355884 279192912 374990766 386033826 499987688 514711768 749981532 772067652 999975376 1029423536 1499963064 1544135304 2999926128 3088270608 152933734067 305867468134 458801202201 611734936268 917602404402 1223469872536 1835204808804 2446939745072 3670409617608 7340819235216