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1343102220240 = 2435114611103581
BaseRepresentation
bin10011100010110111001…
…000010111011111010000
311202101210002210002212120
4103202313020113133100
5134001133132021430
62505002421454240
7166015216335144
oct23426710273720
94671702702776
101343102220240
11478674209210
12198376271380
1399866aa1481
1449013b6b224
1524e0ce43610
hex138b72177d0

1343102220240 has 160 divisors (see below), whose sum is σ = 4551984404352. Its totient is φ = 324893952000.

The previous prime is 1343102220199. The next prime is 1343102220247. The reversal of 1343102220240 is 420222013431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1343102220240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343102220247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665250 + ... + 1768830.

Almost surely, 21343102220240 is an apocalyptic number.

1343102220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343102220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275992202176).

1343102220240 is an abundant number, since it is smaller than the sum of its proper divisors (3208882184112).

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

1343102220240 is a wasteful number, since it uses less digits than its factorization.

1343102220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104069 (or 1104063 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1343102220240 its reverse (420222013431), we get a palindrome (1763324233671).

The spelling of 1343102220240 in words is "one trillion, three hundred forty-three billion, one hundred two million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 461 528 660 880 922 1320 1383 1844 2305 2640 2766 3688 4610 5071 5532 6915 7376 9220 10142 11064 13830 15213 18440 20284 22128 25355 27660 30426 36880 40568 50710 55320 60852 76065 81136 101420 110640 121704 152130 202840 243408 304260 405680 608520 1103581 1217040 2207162 3310743 4414324 5517905 6621486 8828648 11035810 12139391 13242972 16553715 17657296 22071620 24278782 26485944 33107430 36418173 44143240 48557564 52971888 60696955 66214860 72836346 88286480 97115128 121393910 132429720 145672692 182090865 194230256 242787820 264859440 291345384 364181730 485575640 508750841 582690768 728363460 971151280 1017501682 1456726920 1526252523 2035003364 2543754205 2913453840 3052505046 4070006728 5087508410 5596259251 6105010092 7631262615 8140013456 10175016820 11192518502 12210020184 15262525230 16788777753 20350033640 22385037004 24420040368 27981296255 30525050460 33577555506 40700067280 44770074008 55962592510 61050100920 67155111012 83943888765 89540148016 111925185020 122100201840 134310222024 167887777530 223850370040 268620444048 335775555060 447700740080 671551110120 1343102220240