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44220341412 = 223213110985201
BaseRepresentation
bin101001001011101111…
…001101110010100100
311020010210101002112200
4221023233031302210
51211030401411122
632151535214500
73123551462112
oct511357156244
9136123332480
1044220341412
1117832259005
1286a1377430
134229530bc0
1421d6cbaab2
15123c2835ac
hexa4bbcdca4

44220341412 has 72 divisors (see below), whose sum is σ = 120487556280. Its totient is φ = 13593830400.

The previous prime is 44220341387. The next prime is 44220341453. The reversal of 44220341412 is 21414302244.

44220341412 is a `hidden beast` number, since 4 + 4 + 2 + 203 + 41 + 412 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 218566656 + 44001774756 = 14784^2 + 209766^2 .

It is an unprimeable number.

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, 476412 + ... + 561612.

Almost surely, 244220341412 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 44220341412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60243778140).

44220341412 is an abundant number, since it is smaller than the sum of its proper divisors (76267214868).

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

44220341412 is a wasteful number, since it uses less digits than its factorization.

44220341412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86333 (or 86328 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44220341412 its reverse (21414302244), we get a palindrome (65634643656).

The spelling of 44220341412 in words is "forty-four billion, two hundred twenty million, three hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1109 2218 3327 4436 6654 9981 13308 14417 19962 28834 39924 43251 57668 85201 86502 129753 170402 173004 255603 259506 340804 511206 519012 766809 1022412 1107613 1533618 2215226 3067236 3322839 4430452 6645678 9968517 13291356 19937034 39874068 94487909 188975818 283463727 377951636 566927454 850391181 1133854908 1228342817 1700782362 2456685634 3401564724 3685028451 4913371268 7370056902 11055085353 14740113804 22110170706 44220341412