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10432312342040 = 23523173593110533
BaseRepresentation
bin1001011111001111011001…
…0001010111011000011000
31100221022121210011200011002
42113303312101113120120
52331410333424421130
634104312122524132
72124465265541201
oct227636621273030
940838553150132
1010432312342040
113362356390226
121205a28366648
135a89bbc35684
14280cd889c5a8
1513157d473b45
hex97cf6457618

10432312342040 has 128 divisors (see below), whose sum is σ = 24676600544640. Its totient is φ = 3961693249536.

The previous prime is 10432312342019. The next prime is 10432312342069. The reversal of 10432312342040 is 4024321323401.

It is a junction number, because it is equal to n+sod(n) for n = 10432312341994 and 10432312342012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94326614 + ... + 94437146.

It is an arithmetic number, because the mean of its divisors is an integer number (192785941755).

Almost surely, 210432312342040 is an apocalyptic number.

10432312342040 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 10432312342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12338300272320).

10432312342040 is an abundant number, since it is smaller than the sum of its proper divisors (14244288202600).

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

10432312342040 is a wasteful number, since it uses less digits than its factorization.

10432312342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111333 (or 111329 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 10432312342040 its reverse (4024321323401), we get a palindrome (14456633665441).

The spelling of 10432312342040 in words is "ten trillion, four hundred thirty-two billion, three hundred twelve million, three hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 173 184 230 346 460 593 692 865 920 1186 1384 1730 2372 2965 3460 3979 4744 5930 6920 7958 11860 13639 15916 19895 23720 27278 31832 39790 54556 68195 79580 102589 109112 110533 136390 159160 205178 221066 272780 410356 442132 512945 545560 552665 820712 884264 1025890 1105330 2051780 2210660 2359547 2542259 4103560 4421320 4719094 5084518 9438188 10169036 11797735 12711295 18876376 19122209 20338072 23595470 25422590 38244418 47190940 50845180 65546069 76488836 94381880 95611045 101690360 131092138 152977672 191222090 262184276 327730345 382444180 439810807 524368552 655460690 764888360 879621614 1310921380 1507559587 1759243228 2199054035 2621842760 3015119174 3518486456 4398108070 6030238348 7537797935 8796216140 11339469937 12060476696 15075595870 17592432280 22678939874 30151191740 45357879748 56697349685 60302383480 90715759496 113394699370 226789398740 260807808551 453578797480 521615617102 1043231234204 1304039042755 2086462468408 2608078085510 5216156171020 10432312342040