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43404311040040 = 23519509985711383
BaseRepresentation
bin10011101111001110110101…
…00010101001000000101000
312200200102010001202011221001
421313213122202221000220
521142114012111240130
6232151355404324344
712066600201325516
oct1167473242510050
9180612101664831
1043404311040040
1112914735041355
124a50067b436b4
131b2b01691c262
14aa0acbd334b6
155040a456e6ca
hex2779da8a9028

43404311040040 has 128 divisors (see below), whose sum is σ = 103021147296000. Its totient is φ = 16412527853568.

The previous prime is 43404311040011. The next prime is 43404311040089. The reversal of 43404311040040 is 4004011340434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 43404311039990 and 43404311040008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3813076189 + ... + 3813087571.

It is an arithmetic number, because the mean of its divisors is an integer number (804852713250).

Almost surely, 243404311040040 is an apocalyptic number.

43404311040040 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 43404311040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51510573648000).

43404311040040 is an abundant number, since it is smaller than the sum of its proper divisors (59616836255960).

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

43404311040040 is a wasteful number, since it uses less digits than its factorization.

43404311040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21779 (or 21775 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 43404311040040 its reverse (4004011340434), we get a palindrome (47408322380474).

The spelling of 43404311040040 in words is "forty-three trillion, four hundred four billion, three hundred eleven million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 509 760 1018 2036 2545 4072 5090 9671 9857 10180 11383 19342 19714 20360 22766 38684 39428 45532 48355 49285 56915 77368 78856 91064 96710 98570 113830 187283 193420 197140 216277 227660 374566 386840 394280 432554 455320 749132 865108 936415 1081385 1498264 1730216 1872830 2162770 3745660 4325540 5017213 5793947 7491320 8651080 10034426 11587894 20068852 23175788 25086065 28969735 40137704 46351576 50172130 57939470 95327047 100344260 110084993 112202231 115878940 190654094 200688520 220169986 224404462 231757880 381308188 440339972 448808924 476635235 550424965 561011155 762616376 880679944 897617848 953270470 1100849930 1122022310 1906540940 2131842389 2201699860 2244044620 3813081880 4263684778 4403399720 4488089240 8527369556 10659211945 17054739112 21318423890 42636847780 57110935579 85273695560 114221871158 228443742316 285554677895 456887484632 571109355790 1085107776001 1142218711580 2170215552002 2284437423160 4340431104004 5425538880005 8680862208008 10851077760010 21702155520020 43404311040040