Search a number
-
+
44211222211244 = 2211291491559149159
BaseRepresentation
bin10100000110101101110100…
…01100011110101010101100
312210112112220002110210111112
422003112322030132222230
521243324040341224434
6234010204411211152
712212104205162654
oct1203267214365254
9183475802423445
1044211222211244
11130a5968399290
124b60520a46ab8
131b8913c66ca3a
14acbb980d1364
1551a07e480dce
hex2835ba31eaac

44211222211244 has 96 divisors (see below), whose sum is σ = 87956668800000. Its totient is φ = 19260331032320.

The previous prime is 44211222211217. The next prime is 44211222211283.

44211222211244 is nontrivially palindromic in base 10.

44211222211244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 44211222211244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296328737 + ... + 296477895.

It is an arithmetic number, because the mean of its divisors is an integer number (916215300000).

Almost surely, 244211222211244 is an apocalyptic number.

44211222211244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44211222211244 is a deficient number, since it is larger than the sum of its proper divisors (43745446588756).

44211222211244 is a wasteful number, since it uses less digits than its factorization.

44211222211244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150911 (or 150909 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 4421122 and 2211244, that added together give a palindrome (6632366).

The spelling of 44211222211244 in words is "forty-four trillion, two hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 29 44 58 116 149 298 319 596 638 1276 1559 1639 3118 3278 4321 6236 6556 8642 17149 17284 34298 45211 47531 68596 90422 95062 149159 180844 190124 232291 298318 464582 497321 596636 929164 994642 1640749 1989284 2555201 3281498 4325611 5110402 6562996 6736439 8651222 10220804 13472878 17302444 22224691 26945756 44449382 47581721 74100829 88898764 95163442 148201658 190326884 232538881 244471601 296403316 465077762 488943202 644516039 930155524 977886404 1289032078 2557927691 2578064156 5115855382 6743627549 7089676429 10231710764 13487255098 14179352858 26974510196 28358705716 34648293269 69296586538 74179903039 138593173076 148359806078 296719612156 381131225959 762262451918 1004800504801 1524524903836 2009601009602 4019202019204 11052805552811 22105611105622 44211222211244