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33432104003340 = 22357135089589243
BaseRepresentation
bin1111001101000000001001…
…01011101110011100001100
311101101002002210212202021210
413212200010223232130030
513340222422111101330
6155034255131054420
710020250463152560
oct746400453563414
9141332083782253
1033432104003340
11a71a526155a99
1238bb447ba1410
131586831832663
148381a009d6a0
153ce9a45e88b0
hex1e6804aee70c

33432104003340 has 96 divisors (see below), whose sum is σ = 106983706314240. Its totient is φ = 7641554236416.

The previous prime is 33432104003317. The next prime is 33432104003377. The reversal of 33432104003340 is 4330040123433.

It is a super-2 number, since 2×334321040033402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33432104003298 and 33432104003307.

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, 56442759 + ... + 57032001.

It is an arithmetic number, because the mean of its divisors is an integer number (1114413607440).

Almost surely, 233432104003340 is an apocalyptic number.

33432104003340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33432104003340 is an abundant number, since it is smaller than the sum of its proper divisors (73551602310900).

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

33432104003340 is a wasteful number, since it uses less digits than its factorization.

33432104003340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724351 (or 724349 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 33432104003340 its reverse (4330040123433), we get a palindrome (37762144126773).

The spelling of 33432104003340 in words is "thirty-three trillion, four hundred thirty-two billion, one hundred four million, three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 135089 270178 405267 540356 589243 675445 810534 945623 1178486 1350890 1621068 1767729 1891246 2026335 2356972 2701780 2836869 2946215 3535458 3782492 4052670 4124701 4728115 5673738 5892430 7070916 8105340 8249402 8838645 9456230 11347476 11784860 12374103 14184345 16498804 17677290 18912460 20623505 24748206 28368690 35354580 41247010 49496412 56737380 61870515 82494020 123741030 247482060 79600247627 159200495254 238800742881 318400990508 398001238135 477601485762 557201733389 796002476270 955202971524 1114403466778 1194003714405 1592004952540 1671605200167 2228806933556 2388007428810 2786008666945 3343210400334 4776014857620 5572017333890 6686420800668 8358026000835 11144034667780 16716052001670 33432104003340