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443121422121084 = 2237192484011117729
BaseRepresentation
bin110010011000001000011111…
…0111101010011100001111100
32011002221222211210121020210010
41210300100332331103201330
5431040100133030333314
64210235100540143220
7162223315633163250
oct14460207675234174
92132858753536703
10443121422121084
111192128156aa143
1241847a97837b10
131603422b354c25
147b5d296b92260
153636912309059
hex193043ef5387c

443121422121084 has 96 divisors (see below), whose sum is σ = 1243855726220800. Its totient is φ = 119942050406400.

The previous prime is 443121422121083. The next prime is 443121422121127. The reversal of 443121422121084 is 480121224121344.

It is a super-2 number, since 2×4431214221210842 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443121422121083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395889132 + ... + 397006860.

Almost surely, 2443121422121084 is an apocalyptic number.

It is an amenable number.

443121422121084 is an abundant number, since it is smaller than the sum of its proper divisors (800734304099716).

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

443121422121084 is a wasteful number, since it uses less digits than its factorization.

443121422121084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366163 (or 1366161 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 443121422121084 in words is "four hundred forty-three trillion, one hundred twenty-one billion, four hundred twenty-two million, one hundred twenty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 248401 496802 745203 993604 1117729 1490406 1738807 2235458 2980812 3353187 3477614 4470916 4719619 5216421 6706374 6955228 7824103 9439238 10432842 13412748 14158857 15648206 18878476 20865684 21236851 23472309 28317714 31296412 33037333 42473702 46944618 56635428 63710553 66074666 84947404 93889236 99111999 127421106 132149332 148657957 198223998 254842212 297315914 396447996 445973871 594631828 891947742 1783895484 277645001329 555290002658 832935003987 1110580005316 1665870007974 1943515009303 3331740015948 3887030018606 5275255025251 5830545027909 7774060037212 10550510050502 11661090055818 15825765075753 21101020101004 23322180111636 31651530151506 36926785176757 63303060303012 73853570353514 110780355530271 147707140707028 221560711060542 443121422121084