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339408642785016 = 233723113777333413
BaseRepresentation
bin100110100101100001011101…
…1100101100011111011111000
31122111202011000212221111212010
41031023002323211203323320
5323441332400023110031
63201510102235045520
7131330315400252540
oct11513027345437370
91574664025844763
10339408642785016
119916744053a332
12320978038a08a0
13117501367b114c
145db5674858320
152938be7378246
hex134b0bb963ef8

339408642785016 has 128 divisors (see below), whose sum is σ = 1020856425937920. Its totient is φ = 91936777304064.

The previous prime is 339408642784963. The next prime is 339408642785027. The reversal of 339408642785016 is 610587246804933.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388230075 + ... + 389103338.

It is an arithmetic number, because the mean of its divisors is an integer number (7975440827640).

It is a 1-persistent number, because it is pandigital, but 2⋅339408642785016 = 678817285570032 is not.

Almost surely, 2339408642785016 is an apocalyptic number.

It is an amenable number.

339408642785016 is an abundant number, since it is smaller than the sum of its proper divisors (681447783152904).

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

339408642785016 is a wasteful number, since it uses less digits than its factorization.

339408642785016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777333565 (or 777333561 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 66.

The spelling of 339408642785016 in words is "three hundred thirty-nine trillion, four hundred eight billion, six hundred forty-two million, seven hundred eighty-five thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 113 138 161 168 184 226 276 322 339 452 483 552 644 678 791 904 966 1288 1356 1582 1932 2373 2599 2712 3164 3864 4746 5198 6328 7797 9492 10396 15594 18193 18984 20792 31188 36386 54579 62376 72772 109158 145544 218316 436632 777333413 1554666826 2332000239 3109333652 4664000478 5441333891 6218667304 9328000956 10882667782 16324001673 17878668499 18656001912 21765335564 32648003346 35757336998 43530671128 53636005497 65296006692 71514673996 87838675669 107272010994 125150679493 130592013384 143029347992 175677351338 214544021988 250301358986 263516027007 351354702676 375452038479 429088043976 500602717972 527032054014 614870729683 702709405352 750904076958 1001205435944 1054064108028 1229741459366 1501808153916 1844612189049 2020289540387 2108128216056 2459482918732 3003616307832 3689224378098 4040579080774 4918965837464 6060868621161 7378448756196 8081158161548 12121737242322 14142026782709 14756897512392 16162316323096 24243474484644 28284053565418 42426080348127 48486948969288 56568107130836 84852160696254 113136214261672 169704321392508 339408642785016