Search a number
-
+
313300014214314 = 231759127661620159
BaseRepresentation
bin100011100111100011101100…
…0000011100010110010101010
31112002022012002200010022020210
41013033013120003202302222
5312031101412114324224
63030200012314401550
7122664115263135231
oct10717073003426252
91462265080108223
10313300014214314
1190910876344986
122b17b784a302b6
13105a80abb2796a
145751b3181db18
1526349bba61429
hex11cf1d80e2caa

313300014214314 has 128 divisors (see below), whose sum is σ = 681046415769600. Its totient is φ = 95718261703680.

The previous prime is 313300014214303. The next prime is 313300014214339. The reversal of 313300014214314 is 413412410003313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504882967 + ... + 505503125.

It is an arithmetic number, because the mean of its divisors is an integer number (5320675123200).

Almost surely, 2313300014214314 is an apocalyptic number.

313300014214314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

313300014214314 is an abundant number, since it is smaller than the sum of its proper divisors (367746401555286).

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

313300014214314 is a wasteful number, since it uses less digits than its factorization.

313300014214314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621028.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 313300014214314 its reverse (413412410003313), we get a palindrome (726712424217627).

The spelling of 313300014214314 in words is "three hundred thirteen trillion, three hundred billion, fourteen million, two hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 17 34 51 59 102 118 127 177 254 354 381 661 762 1003 1322 1983 2006 2159 3009 3966 4318 6018 6477 7493 11237 12954 14986 22474 22479 33711 38999 44958 67422 77998 83947 116997 127381 167894 233994 251841 254762 382143 503682 620159 662983 764286 1240318 1325966 1427099 1860477 1988949 2854198 3720954 3977898 4281297 4952873 8562594 9905746 10542703 14858619 21085406 29717238 31628109 36589381 63256218 73178762 78760193 84198841 109768143 157520386 168397682 219536286 236280579 252596523 409925099 472561158 505193046 622019477 819850198 1229775297 1244038954 1338923281 1866058431 2459550594 2677846562 3732116862 4016769843 4646851387 6968726683 8033539686 9293702774 13937453366 13940554161 20906180049 24185580841 27881108322 41812360098 48371161682 52060487573 72556742523 78996473579 104120975146 145113485046 156181462719 157992947158 236989420737 312362925438 411154874297 473978841474 822309748594 885028288741 1233464622891 1770056577482 2466929245782 2655084866223 3071568766807 5310169732446 6143137533614 9214706300421 18429412600842 52216669035719 104433338071438 156650007107157 313300014214314