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44336244263344 = 241117194091906867
BaseRepresentation
bin10100001010010110101100…
…00101110000100110110000
312210222111121002112002100121
422011023112011300212300
521302401112012411334
6234143442303500024
712224121315116455
oct1205132605604660
9183874532462317
1044336244263344
1113143994052490
124b807b25b7614
131b97b75137167
14ad3c583d982c
1551d44a296db4
hex2852d61709b0

44336244263344 has 160 divisors (see below), whose sum is σ = 104700782649600. Its totient is φ = 17925150597120.

The previous prime is 44336244263323. The next prime is 44336244263351.

44336244263344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44336244263291 and 44336244263300.

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 31 ways as a sum of consecutive naturals, for example, 22297399 + ... + 24204265.

It is an arithmetic number, because the mean of its divisors is an integer number (654379891560).

Almost surely, 244336244263344 is an apocalyptic number.

44336244263344 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 44336244263344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52350391324800).

44336244263344 is an abundant number, since it is smaller than the sum of its proper divisors (60364538386256).

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

44336244263344 is a wasteful number, since it uses less digits than its factorization.

44336244263344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907331 (or 1907325 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 52.

It can be divided in two parts, 4433624 and 4263344, that added together give a palindrome (8696968).

The spelling of 44336244263344 in words is "forty-four trillion, three hundred thirty-six billion, two hundred forty-four million, two hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 374 409 418 646 748 818 836 1292 1496 1636 1672 2584 2992 3272 3344 3553 4499 5168 6544 6953 7106 7771 8998 13906 14212 15542 17996 27812 28424 31084 35992 55624 56848 62168 71984 76483 85481 111248 124336 132107 152966 170962 264214 305932 341924 528428 611864 683848 1056856 1223728 1367696 1453177 1906867 2113712 2906354 3813734 5812708 7627468 11625416 15254936 20975537 23250832 30509872 32416739 36230473 41951074 64833478 72460946 83902148 129666956 144921892 167804296 259333912 289843784 335608592 356584129 398535203 518667824 579687568 615918041 713168258 779908603 797070406 1231836082 1426336516 1559817206 1594140812 2463672164 2852673032 3119634412 3188281624 4927344328 5705346064 6239268824 6376563248 6775098451 8578994633 9854688656 12478537648 13258446251 13550196902 14818263457 17157989266 26516892502 27100393804 29636526914 34315978532 53033785004 54200787608 59273053828 68631957064 106067570008 108401575216 118546107656 137263914128 145842908761 163000898027 212135140016 237092215312 251910478769 291685817522 326001796054 503820957538 583371635044 652003592108 1007641915076 1166743270088 1304007184216 2015283830152 2333486540176 2608014368432 2771015266459 4030567660304 5542030532918 11084061065836 22168122131672 44336244263344