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340013243213144 = 2323149283244717909
BaseRepresentation
bin100110101001111011000000…
…0100101001010010101011000
31122120212221121112022112100022
41031103312000211022111120
5324031234110230310034
63203051532204330012
7131422101064145504
oct11523660045122530
91576787545275308
10340013243213144
119937a896737646
1232174a17243908
131179515a578777
145dd6a2baab304
1529497d1020b2e
hex1353d8094a558

340013243213144 has 128 divisors (see below), whose sum is σ = 672386676480000. Its totient is φ = 160878139175424.

The previous prime is 340013243213093. The next prime is 340013243213221. The reversal of 340013243213144 is 441312342310043.

It is a super-2 number, since 2×3400132432131442 (a number of 30 digits) contains 22 as substring.

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, 18985598462 + ... + 18985616370.

It is an arithmetic number, because the mean of its divisors is an integer number (5253020910000).

Almost surely, 2340013243213144 is an apocalyptic number.

It is an amenable number.

340013243213144 is a deficient number, since it is larger than the sum of its proper divisors (332373433266856).

340013243213144 is a wasteful number, since it uses less digits than its factorization.

340013243213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20817 (or 20813 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 340013243213144 its reverse (441312342310043), we get a palindrome (781325585523187).

The spelling of 340013243213144 in words is "three hundred forty trillion, thirteen billion, two hundred forty-three million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 23 46 92 149 184 283 298 566 596 1132 1192 2264 2447 3427 4894 6509 6854 9788 13018 13708 17909 19576 26036 27416 35818 42167 52072 56281 71636 84334 112562 143272 168668 225124 337336 364603 411907 450248 692501 729206 823814 969841 1385002 1458412 1647628 1939682 2668441 2770004 2916824 3295256 3879364 5068247 5336882 5540008 7758728 8385869 10136494 10673764 15927523 16771738 20272988 21347528 31855046 33543476 40545976 43823323 61374143 63710092 67086952 87646646 103182649 116569681 122748286 127420184 175293292 206365298 233139362 245496572 350586584 412730596 466278724 490993144 755168803 825461192 932557448 1007936429 1510337606 2015872858 2373200927 3020675212 4031745716 4746401854 6041350424 6529675127 8063491432 9492803708 12402000409 13059350254 17368882469 18985607416 24804000818 26118700508 34737764938 49608001636 52237401016 69475529876 99216003272 138951059752 150182527921 285246009407 300365055842 570492018814 600730111684 1140984037628 1201460223368 1847898060941 2281968075256 3695796121882 7391592243764 14783184487528 42501655401643 85003310803286 170006621606572 340013243213144