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314301421104143 = 1117235367179114967
BaseRepresentation
bin100011101110110110000000…
…0100011101010110000001111
31112012211220220102212010202112
41013131230000203222300033
5312144003302300313033
63032244025103414235
7123126346133224004
oct10735540043526017
91465756812763675
10314301421104143
1191167536434a40
122b301879bb437b
131064b65c714c95
1457883aca4d8ab
152650a7ba7dc48
hex11ddb008eac0f

314301421104143 has 128 divisors (see below), whose sum is σ = 393928268267520. Its totient is φ = 247217588766720.

The previous prime is 314301421104113. The next prime is 314301421104149. The reversal of 314301421104143 is 341401124103413.

It is a happy number.

It is not a de Polignac number, because 314301421104143 - 230 = 314300347362319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314301421104149) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2733782846 + ... + 2733897812.

It is an arithmetic number, because the mean of its divisors is an integer number (3077564595840).

Almost surely, 2314301421104143 is an apocalyptic number.

314301421104143 is a deficient number, since it is larger than the sum of its proper divisors (79626847163377).

314301421104143 is a wasteful number, since it uses less digits than its factorization.

314301421104143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115317.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 314301421104143 its reverse (341401124103413), we get a palindrome (655702545207556).

The spelling of 314301421104143 in words is "three hundred fourteen trillion, three hundred one billion, four hundred twenty-one million, one hundred four thousand, one hundred forty-three".

Divisors: 1 11 17 23 53 67 179 187 253 391 583 737 901 1139 1219 1541 1969 3043 3551 4117 4301 9487 9911 11993 12529 13409 16951 20723 26197 33473 39061 45287 60367 69989 81673 104357 114967 131923 161279 203881 218201 227953 275839 288167 635629 664037 769879 898403 1264637 1388441 1774069 1954439 2242691 2400211 2644241 3034229 3709417 4689263 6093251 6991919 7702789 10805693 14619467 15272851 20579093 21498829 29086651 40803587 44952097 51581893 67025761 84730679 103585267 118862623 130947413 140144773 160814137 177164147 226370023 248530939 349844581 408247817 473319139 494473067 1090691929 1139437937 1378799231 1440421543 1541592503 1948805617 2382461141 2733840329 3011790499 3848290391 4490725987 5206510529 6940212889 8046425363 9389699791 11997611219 15166791541 18541762793 23439586927 25085914367 26207072551 31712382313 33129695489 73076359243 76342341779 88510678993 103286697701 159624896447 203959390723 257835456197 275945058037 348836205443 426460544239 539110499321 803839951673 1242298107131 1680756262589 1755873860917 4691065986629 5930215492531 13665279178441 18488318888479 28572856464013 314301421104143