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33412444122044 = 221317239531724389
BaseRepresentation
bin1111001100011011100001…
…10111001110101110111100
311101022012100200100022012002
413212031300313032232330
513334412141143401134
6155021244231401432
710015653341006441
oct746156067165674
9141265320308162
1033412444122044
11a712157712209
1238b767bb23278
131584a1a7613c0
148372570319c8
153ce20366387e
hex1e6370dcebbc

33412444122044 has 96 divisors (see below), whose sum is σ = 69645601388160. Its totient is φ = 13868383592448.

The previous prime is 33412444121963. The next prime is 33412444122091. The reversal of 33412444122044 is 44022144421433.

It is a super-2 number, since 2×334124441220442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33412444121989 and 33412444122007.

It is a congruent number.

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, 18514202 + ... + 20238590.

It is an arithmetic number, because the mean of its divisors is an integer number (725475014460).

Almost surely, 233412444122044 is an apocalyptic number.

33412444122044 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

33412444122044 is an abundant number, since it is smaller than the sum of its proper divisors (36233157266116).

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

33412444122044 is a wasteful number, since it uses less digits than its factorization.

33412444122044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725399 (or 1725397 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 33412444122044 its reverse (44022144421433), we get a palindrome (77434588543477).

The spelling of 33412444122044 in words is "thirty-three trillion, four hundred twelve billion, four hundred forty-four million, one hundred twenty-two thousand, forty-four".

Divisors: 1 2 4 13 17 23 26 34 46 52 68 92 221 299 391 442 598 782 884 953 1196 1564 1906 3812 5083 10166 12389 16201 20332 21919 24778 32402 43838 49556 64804 87676 210613 284947 372623 421226 569894 745246 842452 1139788 1490492 1724389 3448778 4844099 6897556 9688198 19376396 22417057 29314613 39660947 44834114 58629226 79321894 89668228 117258452 158643788 381089969 515592311 674236099 762179938 1031184622 1348472198 1524359876 1643342717 2062369244 2696944396 3286685434 6573370868 8765069287 17530138574 21363455321 27936826189 35060277148 37796882491 42726910642 55873652378 75593764982 85453821284 111747304756 151187529964 363178740457 491359472383 642547002347 726357480914 982718944766 1285094004694 1452714961828 1965437889532 2570188009388 8353111030511 16706222061022 33412444122044