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43123121040 = 24354143101917
BaseRepresentation
bin101000001010010101…
…101001101110010000
311010022022202112011010
4220022111221232100
51201304004333130
631451022050520
73054426323646
oct501225515620
9133268675133
1043123121040
111731997210a
128435a19a40
1340b311448c
1421312a3196
1511c5c9b0b0
hexa0a569b90

43123121040 has 160 divisors (see below), whose sum is σ = 140128281216. Its totient is φ = 10958008320.

The previous prime is 43123121021. The next prime is 43123121047. The reversal of 43123121040 is 4012132134.

It is a junction number, because it is equal to n+sod(n) for n = 43123120998 and 43123121016.

It is not an unprimeable number, because it can be changed into a prime (43123121047) 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, 372162 + ... + 474078.

Almost surely, 243123121040 is an apocalyptic number.

43123121040 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 43123121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70064140608).

43123121040 is an abundant number, since it is smaller than the sum of its proper divisors (97005160176).

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

43123121040 is a wasteful number, since it uses less digits than its factorization.

43123121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102017 (or 102011 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 43123121040 its reverse (4012132134), we get a palindrome (47135253174).

The spelling of 43123121040 in words is "forty-three billion, one hundred twenty-three million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 43 48 60 80 82 86 120 123 129 164 172 205 215 240 246 258 328 344 410 430 492 516 615 645 656 688 820 860 984 1032 1230 1290 1640 1720 1763 1968 2064 2460 2580 3280 3440 3526 4920 5160 5289 7052 8815 9840 10320 10578 14104 17630 21156 26445 28208 35260 42312 52890 70520 84624 101917 105780 141040 203834 211560 305751 407668 423120 509585 611502 815336 1019170 1223004 1528755 1630672 2038340 2446008 3057510 4076680 4178597 4382431 4892016 6115020 8153360 8357194 8764862 12230040 12535791 13147293 16714388 17529724 20892985 21912155 24460080 25071582 26294586 33428776 35059448 41785970 43824310 50143164 52589172 62678955 65736465 66857552 70118896 83571940 87648620 100286328 105178344 125357910 131472930 167143880 175297240 179679671 200572656 210356688 250715820 262945860 334287760 350594480 359359342 501431640 525891720 539039013 718718684 898398355 1002863280 1051783440 1078078026 1437437368 1796796710 2156156052 2695195065 2874874736 3593593420 4312312104 5390390130 7187186840 8624624208 10780780260 14374373680 21561560520 43123121040