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314331303211422 = 237711091277614647
BaseRepresentation
bin100011101111000011111010…
…1101010110111000110011110
31112012221210000222022110201120
41013132013311222313012132
5312200001002110231142
63032305450204551410
7123131454502026210
oct10736076552670636
91465853028273646
10314331303211422
1191179180076472
122b307619552566
1310651412540373
145789a0556a5b0
15265172a16b7ec
hex11de1f5ab719e

314331303211422 has 128 divisors (see below), whose sum is σ = 741064853422080. Its totient is φ = 87040886325120.

The previous prime is 314331303211421. The next prime is 314331303211441. The reversal of 314331303211422 is 224112303133413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314331303211421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37472503 + ... + 45087149.

It is an arithmetic number, because the mean of its divisors is an integer number (5789569167360).

Almost surely, 2314331303211422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314331303211422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370532426711040).

314331303211422 is an abundant number, since it is smaller than the sum of its proper divisors (426733550210658).

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

314331303211422 is a wasteful number, since it uses less digits than its factorization.

314331303211422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7614966.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 314331303211422 its reverse (224112303133413), we get a palindrome (538443606344835).

The spelling of 314331303211422 in words is "three hundred fourteen trillion, three hundred thirty-one billion, three hundred three million, two hundred eleven thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 71 109 127 142 213 218 254 327 381 426 497 654 762 763 889 994 1491 1526 1778 2289 2667 2982 4578 5334 7739 9017 13843 15478 18034 23217 27051 27686 41529 46434 54102 54173 63119 83058 96901 108346 126238 162519 189357 193802 290703 325038 378714 581406 982853 1965706 2948559 5897118 6879971 7614647 13759942 15229294 20639913 22843941 41279826 45687882 53302529 106605058 159907587 319815174 540639937 829996523 967060169 1081279874 1621919811 1659993046 1934120338 2489989569 2901180507 3243839622 3784479559 4979979138 5802361014 5809975661 6769421183 7568959118 11353438677 11619951322 13538842366 17429926983 20308263549 22706877354 34859853966 40616527098 58929753133 68661271999 105409558421 117859506266 137322543998 176789259399 205983815997 210819116842 316228675263 353578518798 411967631994 412508271931 480628903993 632457350526 737866908947 825016543862 961257807986 1237524815793 1441886711979 1475733817894 2213600726841 2475049631586 2883773423958 4427201453682 7484078647891 14968157295782 22452235943673 44904471887346 52388550535237 104777101070474 157165651605711 314331303211422