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1314034140210 = 2351119909123053
BaseRepresentation
bin10011000111110010100…
…010011100010000110010
311122121202022001122100220
4103013302202130100302
5133012120214441320
62443354155553510
7163635663621141
oct23076242342062
94577668048326
101314034140210
11467308019480
1219280345b896
1396bb37ca90c
14478573cb758
15242ab04de40
hex131f289c432

1314034140210 has 128 divisors (see below), whose sum is σ = 3622008407040. Its totient is φ = 301741459200.

The previous prime is 1314034140187. The next prime is 1314034140227. The reversal of 1314034140210 is 120414304131.

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, 56989044 + ... + 57012096.

It is an arithmetic number, because the mean of its divisors is an integer number (28296940680).

Almost surely, 21314034140210 is an apocalyptic number.

1314034140210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314034140210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811004203520).

1314034140210 is an abundant number, since it is smaller than the sum of its proper divisors (2307974266830).

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

1314034140210 is a wasteful number, since it uses less digits than its factorization.

1314034140210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32184.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1314034140210 its reverse (120414304131), we get a palindrome (1434448444341).

The spelling of 1314034140210 in words is "one trillion, three hundred fourteen billion, thirty-four million, one hundred forty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 9091 18182 23053 27273 45455 46106 54546 69159 90910 100001 115265 136365 138318 172729 200002 230530 253583 272730 300003 345458 345795 438007 500005 507166 518187 600006 691590 760749 863645 876014 1000010 1036374 1267915 1314021 1500015 1521498 1727290 1900019 2190035 2535830 2590935 2628042 3000030 3800038 3803745 4380070 4818077 5181870 5700057 6570105 7607490 9500095 9636154 11400114 13140210 14454231 19000190 24090385 28500285 28908462 48180770 57000570 72271155 144542310 209574823 419149646 628724469 1047874115 1257448938 2095748230 2305323053 3143622345 3981921637 4610646106 6287244690 6915969159 7963843274 11526615265 11945764911 13831938318 19909608185 23053230530 23891529822 34579845795 39819216370 43801138007 59728824555 69159691590 87602276014 119457649110 131403414021 219005690035 262806828042 438011380070 657017070105 1314034140210