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1344613466310 = 2356116310514289
BaseRepresentation
bin10011100100010001001…
…101010100000011000110
311202112200102110100202020
4103210101031110003012
5134012232021410220
62505412405024010
7166100526612312
oct23442115240306
94675612410666
101344613466310
1147927a27a804
121987183b5006
1399a47c0050a
144911875ab42
1524e9a960040
hex139113540c6

1344613466310 has 128 divisors (see below), whose sum is σ = 3304007815680. Its totient is φ = 350106624000.

The previous prime is 1344613466299. The next prime is 1344613466347. The reversal of 1344613466310 is 136643164431.

It is a super-4 number, since 4×13446134663104 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 313500646 + ... + 313504934.

It is an arithmetic number, because the mean of its divisors is an integer number (25812561060).

Almost surely, 21344613466310 is an apocalyptic number.

1344613466310 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 1344613466310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652003907840).

1344613466310 is an abundant number, since it is smaller than the sum of its proper divisors (1959394349370).

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

1344613466310 is a wasteful number, since it uses less digits than its factorization.

1344613466310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574.

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 1344613466310 in words is "one trillion, three hundred forty-four billion, six hundred thirteen million, four hundred sixty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 163 183 305 326 366 489 610 815 915 978 1051 1630 1830 2102 2445 3153 4289 4890 5255 6306 8578 9943 10510 12867 15765 19886 21445 25734 29829 31530 42890 49715 59658 64111 64335 99430 128222 128670 149145 171313 192333 261629 298290 320555 342626 384666 513939 523258 641110 699107 784887 856565 961665 1027878 1308145 1398214 1569774 1713130 1923330 2097321 2569695 2616290 3495535 3924435 4194642 4507739 5139390 6991070 7848870 9015478 10450093 10486605 13523217 20900186 20973210 22538695 27046434 31350279 42645527 45077390 52250465 62700558 67616085 85291054 104500930 127936581 135232170 156751395 213227635 255873162 274972079 313502790 426455270 549944158 639682905 734761457 824916237 1279365810 1374860395 1469522914 1649832474 2204284371 2749720790 3673807285 4124581185 4408568742 7347614570 8249162370 11021421855 22042843710 44820448877 89640897754 134461346631 224102244385 268922693262 448204488770 672306733155 1344613466310