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4441101424340 = 22572411259104549
BaseRepresentation
bin100000010100000011001…
…0001011101011011010100
3120201120020222211202120112
41000220012101131123110
51040230333431034330
613240114104222152
7635600430152450
oct100500621353324
916646228752515
104441101424340
111462507a7a459
125b886ba6a958
13262a427483b9
14114d4409d660
157a7cae03795
hex40a0645d6d4

4441101424340 has 96 divisors (see below), whose sum is σ = 10711473696000. Its totient is φ = 1515126343680.

The previous prime is 4441101424303. The next prime is 4441101424379. The reversal of 4441101424340 is 434241011444.

It is a super-2 number, since 2×44411014243402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4441101424297 and 4441101424306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42426386 + ... + 42530934.

It is an arithmetic number, because the mean of its divisors is an integer number (111577851000).

Almost surely, 24441101424340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441101424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355736848000).

4441101424340 is an abundant number, since it is smaller than the sum of its proper divisors (6270372271660).

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

4441101424340 is a wasteful number, since it uses less digits than its factorization.

4441101424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106065 (or 106063 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4441101424340 its reverse (434241011444), we get a palindrome (4875342435784).

The spelling of 4441101424340 in words is "four trillion, four hundred forty-one billion, one hundred one million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 241 482 964 1205 1259 1687 2410 2518 3374 4820 5036 6295 6748 8435 8813 12590 16870 17626 25180 33740 35252 44065 88130 104549 176260 209098 303419 418196 522745 606838 731843 1045490 1213676 1463686 1517095 2090980 2123933 2927372 3034190 3659215 4247866 6068380 7318430 8495732 10619665 14636860 21239330 25196309 42478660 50392618 100785236 125981545 131627191 176374163 251963090 263254382 352748326 503926180 526508764 658135955 705496652 881870815 921390337 1316271910 1763741630 1842780674 2632543820 3527483260 3685561348 4606951685 9213903370 18427806740 31722153031 63444306062 126888612124 158610765155 222055071217 317221530310 444110142434 634443060620 888220284868 1110275356085 2220550712170 4441101424340