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213433446034044 = 22321371621203913093
BaseRepresentation
bin110000100001110111011000…
…101110111110101001111100
31000222201001000211022112020100
4300201313120232332221330
5210433343144141042134
62033533545502521100
762646025521512445
oct6041673056765174
91028631024275210
10213433446034044
11620086860a6895
121bb309b9296190
1392128c2870702
143a9c33bba82cc
1519a1d61545999
hexc21dd8bbea7c

213433446034044 has 144 divisors (see below), whose sum is σ = 544093869533760. Its totient is φ = 70541606384640.

The previous prime is 213433446034043. The next prime is 213433446034073. The reversal of 213433446034044 is 440430644334312.

213433446034044 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 3 + 34 + 4 + 603 + 4 + 0 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213433446034043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16301333562 + ... + 16301346654.

It is an arithmetic number, because the mean of its divisors is an integer number (3778429649540).

Almost surely, 2213433446034044 is an apocalyptic number.

It is an amenable number.

213433446034044 is an abundant number, since it is smaller than the sum of its proper divisors (330660423499716).

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

213433446034044 is a wasteful number, since it uses less digits than its factorization.

213433446034044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16900 (or 16895 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 45.

The spelling of 213433446034044 in words is "two hundred thirteen trillion, four hundred thirty-three billion, four hundred forty-six million, thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1621 1644 2039 2466 3242 4078 4863 4932 6117 6484 8156 9726 12234 13093 14589 18351 19452 24468 26186 29178 36702 39279 52372 58356 73404 78558 117837 157116 222077 235674 279343 444154 471348 558686 666231 838029 888308 1117372 1332462 1676058 1793741 1998693 2514087 2664924 3305219 3352116 3587482 3997386 5028174 5381223 6610438 7174964 7994772 9915657 10056348 10762446 13220876 16143669 19831314 21223753 21524892 26696627 29746971 32287338 39662628 42447506 53393254 59493942 63671259 64574676 80089881 84895012 106786508 118987884 127342518 160179762 191013777 240269643 254685036 320359524 382027554 452815003 480539286 764055108 905630006 961078572 1358445009 1811260012 2716890018 2907654161 3657437899 4075335027 5433780036 5815308322 7314875798 8150670054 8722962483 10972313697 11630616644 14629751596 16301340108 17445924966 21944627394 26168887449 32916941091 34891849932 43275232367 43889254788 52337774898 65833882182 86550464734 104675549796 129825697101 131667764364 173100929468 259651394202 389477091303 519302788404 778954182606 1557908365212 5928706834279 11857413668558 17786120502837 23714827337116 35572241005674 53358361508511 71144482011348 106716723017022 213433446034044