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4430234144100 = 22352106913814263
BaseRepresentation
bin100000001110111111010…
…0010000100110101100100
3120200112012122010201121210
41000131332202010311210
51040041104420102400
613231115500511420
7635034221615622
oct100357642046544
916615178121553
104430234144100
111458940750a16
125b673854b570
13261a0017c46b
141145d2a9a512
157a391d2d950
hex4077e884d64

4430234144100 has 72 divisors (see below), whose sum is σ = 12830135832640. Its totient is φ = 1180290545280.

The previous prime is 4430234144081. The next prime is 4430234144101. The reversal of 4430234144100 is 14414320344.

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

It is not an unprimeable number, because it can be changed into a prime (4430234144101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6586432 + ... + 7227831.

Almost surely, 24430234144100 is an apocalyptic number.

It is an amenable number.

4430234144100 is an abundant number, since it is smaller than the sum of its proper divisors (8399901688540).

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

4430234144100 is a wasteful number, since it uses less digits than its factorization.

4430234144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13815349 (or 13815342 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4430234144100 its reverse (14414320344), we get a palindrome (4444648464444).

The spelling of 4430234144100 in words is "four trillion, four hundred thirty billion, two hundred thirty-four million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1069 2138 3207 4276 5345 6414 10690 12828 16035 21380 26725 32070 53450 64140 80175 106900 160350 320700 13814263 27628526 41442789 55257052 69071315 82885578 138142630 165771156 207213945 276285260 345356575 414427890 690713150 828855780 1036069725 1381426300 2072139450 4144278900 14767447147 29534894294 44302341441 59069788588 73837235735 88604682882 147674471470 177209365764 221511707205 295348942940 369186178675 443023414410 738372357350 886046828820 1107558536025 1476744714700 2215117072050 4430234144100