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44541222214544 = 241131101634312743
BaseRepresentation
bin10100010000010100011111…
…01110100101101110010000
312211201002200100200220010222
422020022033232211232100
521314230410341331134
6234421542140412212
712244666003006646
oct1210121756455620
9184632610626128
1044541222214544
111321290a831040
124bb4479247068
131bb12b0865093
14addb4167d196
15523945769a2e
hex28828fba5b90

44541222214544 has 160 divisors (see below), whose sum is σ = 98166210674688. Its totient is φ = 19394343360000.

The previous prime is 44541222214529. The next prime is 44541222214549.

44541222214544 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44541222214495 and 44541222214504.

It is not an unprimeable number, because it can be changed into a prime (44541222214549) 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, 3495341837 + ... + 3495354579.

Almost surely, 244541222214544 is an apocalyptic number.

44541222214544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44541222214544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49083105337344).

44541222214544 is an abundant number, since it is smaller than the sum of its proper divisors (53624988460144).

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

44541222214544 is a wasteful number, since it uses less digits than its factorization.

44541222214544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19237 (or 19231 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 44.

It can be divided in two parts, 4454122 and 2214544, that added together give a palindrome (6668666).

The spelling of 44541222214544 in words is "forty-four trillion, five hundred forty-one billion, two hundred twenty-two million, two hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 101 124 176 202 248 341 404 496 682 808 1111 1364 1616 2222 2728 3131 4444 5456 6262 6343 8888 12524 12686 12743 17776 25048 25372 25486 34441 50096 50744 50972 68882 69773 101488 101944 137764 139546 140173 196633 203888 275528 279092 280346 393266 395033 551056 558184 560692 640643 786532 790066 1116368 1121384 1281286 1287043 1573064 1580132 2162963 2242768 2562572 2574086 3146128 3160264 4325926 4345363 5125144 5148172 6320528 7047073 8651852 8690726 10250288 10296344 14094146 14157473 17303704 17381452 19859933 20592688 28188292 28314946 34607408 34762904 39719866 39898333 56376584 56629892 69525808 79439732 79796666 80828849 112753168 113259784 158879464 159593332 161657698 218459263 226519568 317758928 319186664 323315396 436918526 438881663 638373328 646630792 873837052 877763326 889117339 1293261584 1747674104 1755526652 1778234678 2505694319 3495348208 3511053304 3556469356 5011388638 7022106608 7112938712 8163713749 10022777276 14225877424 16327427498 20045554552 27562637509 32654854996 40091109104 55125275018 65309709992 89800851239 110250550036 130619419984 179601702478 220501100072 253075126219 359203404956 441002200144 506150252438 718406809912 1012300504876 1436813619824 2024601009752 2783826388409 4049202019504 5567652776818 11135305553636 22270611107272 44541222214544