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43140341040 = 24351741257893
BaseRepresentation
bin101000001011010111…
…010101110100110000
311010100112011101112220
4220023113111310300
51201322411403130
631452435121040
73055025564016
oct501327256460
9133315141486
1043140341040
1117328663815
12843b743180
1340b6863424
1421336a68b6
1511c754d410
hexa0b5d5d30

43140341040 has 160 divisors (see below), whose sum is σ = 145056090816. Its totient is φ = 10563256320.

The previous prime is 43140341021. The next prime is 43140341051. The reversal of 43140341040 is 4014304134.

It is a super-2 number, since 2×431403410402 (a number of 22 digits) contains 22 as substring.

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 43140341040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38334 + ... + 296226.

Almost surely, 243140341040 is an apocalyptic number.

43140341040 is a gapful number since it is divisible by the number (40) 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 43140341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72528045408).

43140341040 is an abundant number, since it is smaller than the sum of its proper divisors (101915749776).

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

43140341040 is a wasteful number, since it uses less digits than its factorization.

43140341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257967 (or 257961 counting only the distinct ones).

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

Adding to 43140341040 its reverse (4014304134), we get a palindrome (47154645174).

The spelling of 43140341040 in words is "forty-three billion, one hundred forty million, three hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 41 48 51 60 68 80 82 85 102 120 123 136 164 170 204 205 240 246 255 272 328 340 408 410 492 510 615 656 680 697 816 820 984 1020 1230 1360 1394 1640 1968 2040 2091 2460 2788 3280 3485 4080 4182 4920 5576 6970 8364 9840 10455 11152 13940 16728 20910 27880 33456 41820 55760 83640 167280 257893 515786 773679 1031572 1289465 1547358 2063144 2578930 3094716 3868395 4126288 4384181 5157860 6189432 7736790 8768362 10315720 10573613 12378864 13152543 15473580 17536724 20631440 21147226 21920905 26305086 30947160 31720839 35073448 42294452 43841810 52610172 52868065 61894320 63441678 65762715 70146896 84588904 87683620 105220344 105736130 126883356 131525430 158604195 169177808 175367240 179751421 210440688 211472260 253766712 263050860 317208390 350734480 359502842 422944520 507533424 526101720 539254263 634416780 719005684 845889040 898757105 1052203440 1078508526 1268833560 1438011368 1797514210 2157017052 2537667120 2696271315 2876022736 3595028420 4314034104 5392542630 7190056840 8628068208 10785085260 14380113680 21570170520 43140341040