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342143244632046 = 2311213241115035947
BaseRepresentation
bin100110111001011010110111…
…0100011101111111111101110
31122212102120111222202201022010
41031302311232203233333232
5324321133331111211141
63211402234155102050
7132032014361400624
oct11562655643577756
91585376458681263
10342143244632046
119a021153a36600
12324597a0441926
13118bac7b090440
14606bb6dcb5514
152984de7042416
hex1372d6e8effee

342143244632046 has 96 divisors (see below), whose sum is σ = 810343291734144. Its totient is φ = 95664702830400.

The previous prime is 342143244632017. The next prime is 342143244632083. The reversal of 342143244632046 is 640236442341243.

It is a happy number.

It is a super-2 number, since 2×3421432446320462 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342143244631986 and 342143244632004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15237045 + ... + 30272991.

It is an arithmetic number, because the mean of its divisors is an integer number (8441075955564).

Almost surely, 2342143244632046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342143244632046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405171645867072).

342143244632046 is an abundant number, since it is smaller than the sum of its proper divisors (468200047102098).

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

342143244632046 is a wasteful number, since it uses less digits than its factorization.

342143244632046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15038398 (or 15038387 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 48.

Adding to 342143244632046 its reverse (640236442341243), we get a palindrome (982379686973289).

The spelling of 342143244632046 in words is "three hundred forty-two trillion, one hundred forty-three billion, two hundred forty-four million, six hundred thirty-two thousand, forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1573 2411 3146 4719 4822 7233 9438 14466 26521 31343 53042 62686 79563 94029 159126 188058 291731 344773 583462 689546 875193 1034319 1750386 2068638 3792503 7585006 11377509 15035947 22755018 30071894 45107841 90215682 165395417 195467311 330790834 390934622 496186251 586401933 992372502 1172803866 1819349587 2150140421 3638699174 4300280842 5458048761 6450421263 10916097522 12900842526 23651544631 36251668217 47303089262 70954633893 72503336434 108755004651 141909267786 217510009302 398768350387 471271686821 797536700774 942543373642 1196305051161 1413815060463 2392610102322 2827630120926 4386451854257 5183988555031 8772903708514 10367977110062 13159355562771 15551965665093 26318711125542 31103931330186 57023874105341 114047748210682 171071622316023 342143244632046