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314310010403443 = 171923734912173259
BaseRepresentation
bin100011101110111010000000…
…0100001001111101001110011
31112012212202002001010202022211
41013131310000201033221303
5312144123400130402233
63032252005254112551
7123130102031114635
oct10735640041175163
91465782061122284
10314310010403443
11911701439116aa
122b30347664b757
131064c3cb0781c2
1457889856b6a55
152650dd0b815cd
hex11ddd0084fa73

314310010403443 has 96 divisors (see below), whose sum is σ = 362171281752000. Its totient is φ = 271589195317248.

The previous prime is 314310010403407. The next prime is 314310010403483. The reversal of 314310010403443 is 344304010013413.

It is a happy number.

It is not a de Polignac number, because 314310010403443 - 241 = 312110987147891 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314310010403483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96443695948 + ... + 96443699206.

It is an arithmetic number, because the mean of its divisors is an integer number (3772617518250).

Almost surely, 2314310010403443 is an apocalyptic number.

314310010403443 is a deficient number, since it is larger than the sum of its proper divisors (47861271348557).

314310010403443 is a wasteful number, since it uses less digits than its factorization.

314310010403443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 314310010403443 its reverse (344304010013413), we get a palindrome (658614020416856).

The spelling of 314310010403443 in words is "three hundred fourteen trillion, three hundred ten billion, ten million, four hundred three thousand, four hundred forty-three".

Divisors: 1 17 19 37 323 349 361 629 703 1217 3259 5933 6137 6631 11951 12913 13357 20689 23123 45029 55403 61921 112727 120583 125989 219521 227069 245347 393091 424733 439337 765493 855551 1052657 1137391 1176499 2049911 2141813 2291077 3966203 4170899 4661593 7220461 7468729 8069927 14544367 15715121 16255469 19335647 20000483 21610429 38948309 42083467 43530463 67425451 75357857 79247081 137188759 146749511 153328613 267157057 276342973 298587299 367377293 410598151 715418939 740017871 799585873 1281083569 1384204847 1431799283 2494741687 2606586421 2788240709 5075984083 5673158681 6980168567 13592959841 15192131587 23531482399 24340587811 26299892093 47400092053 51215579339 52976573471 96443697577 258266236979 447098165581 499697949767 870664848763 900601749007 973096007441 8494865146039 16542632126497 18488824141379 314310010403443