Search a number
-
+
342315480566304 = 25327191889001809
BaseRepresentation
bin100110111010101011000100…
…0100111101100101000100000
31122220001001002102001201121100
41031311112020213230220200
5324331444101011110204
63212013321044554400
7132050322502600560
oct11565261047545040
91586031072051540
10342315480566304
119a0881a86a7223
12324870499b2a00
131190129931ac3b
14607622c8a0da0
152989627d06a39
hex13755889eca20

342315480566304 has 144 divisors (see below), whose sum is σ = 1118350052951040. Its totient is φ = 97292357867520.

The previous prime is 342315480566243. The next prime is 342315480566321. The reversal of 342315480566304 is 403665084513243.

342315480566304 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 1 + 5 + 48 + 0 + 566 + 30 + 4 = 666.

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

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, 444115849 + ... + 444885960.

It is an arithmetic number, because the mean of its divisors is an integer number (7766319812160).

Almost surely, 2342315480566304 is an apocalyptic number.

It is an amenable number.

342315480566304 is an abundant number, since it is smaller than the sum of its proper divisors (776034572384736).

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

342315480566304 is a wasteful number, since it uses less digits than its factorization.

342315480566304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889002023 (or 889002012 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 342315480566304 in words is "three hundred forty-two trillion, three hundred fifteen billion, four hundred eighty million, five hundred sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 191 224 252 288 336 382 504 573 672 764 1008 1146 1337 1528 1719 2016 2292 2674 3056 3438 4011 4584 5348 6112 6876 8022 9168 10696 12033 13752 16044 18336 21392 24066 27504 32088 42784 48132 55008 64176 96264 128352 192528 385056 889001809 1778003618 2667005427 3556007236 5334010854 6223012663 7112014472 8001016281 10668021708 12446025326 14224028944 16002032562 18669037989 21336043416 24892050652 28448057888 32004065124 37338075978 42672086832 49784101304 56007113967 64008130248 74676151956 85344173664 99568202608 112014227934 128016260496 149352303912 169799345519 199136405216 224028455868 256032520992 298704607824 339598691038 448056911736 509398036557 597409215648 679197382076 896113823472 1018796073114 1188595418633 1358394764152 1528194109671 1792227646944 2037592146228 2377190837266 2716789528304 3056388219342 3565786255899 4075184292456 4754381674532 5433579056608 6112776438684 7131572511798 8150368584912 9508763349064 10697358767697 12225552877368 14263145023596 16300737169824 19017526698128 21394717535394 24451105754736 28526290047192 38035053396256 42789435070788 48902211509472 57052580094384 85578870141576 114105160188768 171157740283152 342315480566304