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1441718912656 = 241122929412
BaseRepresentation
bin10100111110101101001…
…001001100011010010000
312002211022212111010212001
4110332231021030122100
5142110120020201111
63022152211443344
7206106065363011
oct24765511143220
95084285433761
101441718912656
1150647a816900
121b34b88b6554
13a5c51b281c9
144dacb1c3008
15277809d41c1
hex14fad24c690

1441718912656 has 135 divisors (see below), whose sum is σ = 3183262887259. Its totient is φ = 632056902400.

The previous prime is 1441718912593. The next prime is 1441718912659. The reversal of 1441718912656 is 6562198171441.

It is a happy number.

The square root of 1441718912656 is 1200716.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 30374912656 + 1411344000000 = 174284^2 + 1188000^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1441718912597 and 1441718912606.

It is not an unprimeable number, because it can be changed into a prime (1441718912659) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1532113146 + ... + 1532114086.

Almost surely, 21441718912656 is an apocalyptic number.

1441718912656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1441718912656 is the 1200716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441718912656

1441718912656 is an abundant number, since it is smaller than the sum of its proper divisors (1741543974603).

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

1441718912656 is an frugal number, since it uses more digits than its factorization.

1441718912656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 983 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 55.

The spelling of 1441718912656 in words is "one trillion, four hundred forty-one billion, seven hundred eighteen million, nine hundred twelve thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 319 464 484 638 841 941 968 1276 1682 1882 1936 2552 3364 3509 3764 5104 6728 7018 7528 9251 10351 13456 14036 15056 18502 20702 27289 28072 37004 41404 54578 56144 74008 82808 101761 109156 113861 148016 165616 203522 218312 227722 300179 407044 436624 455444 600358 791381 814088 885481 910888 1200716 1582762 1628176 1770962 1821776 2401432 3165524 3301969 3541924 4802864 6331048 6603938 7083848 8705191 9740291 12662096 13207876 14167696 17410382 19480582 25678949 26415752 34820764 38961164 51357898 52831504 69641528 77922328 95757101 102715796 107143201 139283056 155844656 191514202 205431592 214286402 282468439 383028404 410863184 428572804 564936878 744689521 766056808 857145608 1129873756 1489379042 1532113616 1714291216 2259747512 2978758084 3107152829 4519495024 5957516168 6214305658 8191584731 11915032336 12428611316 16383169462 24857222632 32766338924 49714445264 65532677848 90107432041 131065355696 180214864082 360429728164 720859456328 1441718912656