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341142310314 = 233134133735171
BaseRepresentation
bin1001111011011011010…
…10101000110110101010
31012121112210102221102000
410331231222220312222
521042124412412224
6420415115351430
733434552536041
oct4755552506652
91177483387360
10341142310314
1112174aa38a53
1256147a52576
1326228757120
1412723303558
158d195d80c9
hex4f6daa8daa

341142310314 has 128 divisors (see below), whose sum is σ = 838826876160. Its totient is φ = 102099916800.

The previous prime is 341142310307. The next prime is 341142310331. The reversal of 341142310314 is 413013241143.

341142310314 is a `hidden beast` number, since 3 + 4 + 114 + 231 + 0 + 314 = 666.

It is a super-3 number, since 3×3411423103143 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9681949 + ... + 9717119.

It is an arithmetic number, because the mean of its divisors is an integer number (6553334970).

Almost surely, 2341142310314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341142310314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419413438080).

341142310314 is an abundant number, since it is smaller than the sum of its proper divisors (497684565846).

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

341142310314 is a wasteful number, since it uses less digits than its factorization.

341142310314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35573 (or 35567 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 341142310314 its reverse (413013241143), we get a palindrome (754155551457).

The spelling of 341142310314 in words is "three hundred forty-one billion, one hundred forty-two million, three hundred ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 82 117 123 234 246 337 351 369 533 674 702 738 1011 1066 1107 1599 2022 2214 3033 3198 4381 4797 6066 8762 9099 9594 13143 13817 14391 18198 26286 27634 28782 35171 39429 41451 70342 78858 82902 105513 118287 124353 179621 211026 236574 248706 316539 359242 373059 457223 538863 633078 746118 914446 949617 1077726 1371669 1442011 1616589 1899234 2743338 2884022 3233178 4115007 4326033 4849767 8230014 8652066 9699534 11852627 12345021 12978099 18746143 23705254 24690042 25956198 35557881 37492286 38934297 56238429 71115762 77868594 106673643 112476858 154084151 168715287 213347286 308168302 320020929 337430574 462252453 485957707 506145861 640041858 924504906 971915414 1012291722 1386757359 1457873121 2773514718 2915746242 4160272077 4373619363 6317450191 8320544154 8747238726 12634900382 13120858089 18952350573 26241716178 37904701146 56857051719 113714103438 170571155157 341142310314