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324112031040 = 2635748230957
BaseRepresentation
bin1001011011101101001…
…01010001110101000000
31010222120220222010010210
410231312211101311000
520302240134443130
6404521153354120
732262540544050
oct4556645216500
91128526863123
10324112031040
11115500879086
1252994568940
13247433c18b5
14119895c1560
15866e42e5b0
hex4b76951d40

324112031040 has 112 divisors (see below), whose sum is σ = 1176063679872. Its totient is φ = 74082748416.

The previous prime is 324112031027. The next prime is 324112031071. The reversal of 324112031040 is 40130211423.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 324112030998 and 324112031016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24108759 + ... + 24122198.

Almost surely, 2324112031040 is an apocalyptic number.

324112031040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

324112031040 is an abundant number, since it is smaller than the sum of its proper divisors (851951648832).

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

324112031040 is a wasteful number, since it uses less digits than its factorization.

324112031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48230984 (or 48230974 counting only the distinct ones).

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

Adding to 324112031040 its reverse (40130211423), we get a palindrome (364242242463).

The spelling of 324112031040 in words is "three hundred twenty-four billion, one hundred twelve million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 48230957 96461914 144692871 192923828 241154785 289385742 337616699 385847656 482309570 578771484 675233398 723464355 771695312 964619140 1012850097 1157542968 1350466796 1446928710 1543390624 1688083495 1929238280 2025700194 2315085936 2700933592 2893857420 3086781248 3376166990 3858476560 4051400388 4630171872 5064250485 5401867184 5787714840 6752333980 7716953120 8102800776 9260343744 10128500970 10803734368 11575429680 13504667960 15433906240 16205601552 20257001940 21607468736 23150859360 27009335920 32411203104 40514003880 46301718720 54018671840 64822406208 81028007760 108037343680 162056015520 324112031040