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340014102112300 = 2252711107412688557
BaseRepresentation
bin100110101001111011011001…
…1110001100110100000101100
31122120220000211101111010111011
41031103312303301212200230
5324031242340120043200
63203052153325435004
7131422131263522620
oct11523666361464054
91576800741433434
10340014102112300
1199380197547260
1232175016a0ba64
13117952664b1515
145dd6aadba9180
15294983162e5ba
hex1353db3c6682c

340014102112300 has 144 divisors (see below), whose sum is σ = 928489828347648. Its totient is φ = 104987968646400.

The previous prime is 340014102112297. The next prime is 340014102112327. The reversal of 340014102112300 is 3211201410043.

It is a super-2 number, since 2×3400141021123002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 205520379 + ... + 207168178.

It is an arithmetic number, because the mean of its divisors is an integer number (6447846030192).

Almost surely, 2340014102112300 is an apocalyptic number.

It is an amenable number.

340014102112300 is an abundant number, since it is smaller than the sum of its proper divisors (588475726235348).

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

340014102112300 is a wasteful number, since it uses less digits than its factorization.

340014102112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412688696 (or 412688689 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 340014102112300 its reverse (3211201410043), we get a palindrome (343225303522343).

The spelling of 340014102112300 in words is "three hundred forty trillion, fourteen billion, one hundred two million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 107 110 140 154 175 214 220 275 308 350 385 428 535 550 700 749 770 1070 1100 1177 1498 1540 1925 2140 2354 2675 2996 3745 3850 4708 5350 5885 7490 7700 8239 10700 11770 14980 16478 18725 23540 29425 32956 37450 41195 58850 74900 82390 117700 164780 205975 411950 823900 412688557 825377114 1650754228 2063442785 2888819899 4126885570 4539574127 5777639798 8253771140 9079148254 10317213925 11555279596 14444099495 18158296508 20634427850 22697870635 28888198990 31777018889 41268855700 44157675599 45395741270 57776397980 63554037778 72220497475 88315351198 90791482540 113489353175 127108075556 144440994950 158885094445 176630702396 220788377995 226978706350 288881989900 309103729193 317770188890 441576755990 453957412700 485734431589 618207458386 635540377780 794425472225 883153511980 971468863178 1103941889975 1236414916772 1545518645965 1588850944450 1942937726356 2207883779950 2428672157945 3091037291930 3177701888900 3400141021123 4415767559900 4857344315890 6182074583860 6800282042246 7727593229825 9714688631780 12143360789725 13600564084492 15455186459650 17000705105615 24286721579450 30910372919300 34001410211230 48573443158900 68002820422460 85003525528075 170007051056150 340014102112300