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41443270656 = 21334339217
BaseRepresentation
bin100110100110001101…
…100010000000000000
310221222020211021122020
4212212031202000000
51134333434130111
631012213041440
72665000662654
oct464615420000
9127866737566
1041443270656
1116637711707
128047326280
133ba60a1478
142012144a64
151128577906
hex9a6362000

41443270656 has 112 divisors (see below), whose sum is σ = 113081494944. Its totient is φ = 13492813824.

The previous prime is 41443270651. The next prime is 41443270657. The reversal of 41443270656 is 65607234414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (41443270651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1037160 + ... + 1076376.

Almost surely, 241443270656 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 41443270656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56540747472).

41443270656 is an abundant number, since it is smaller than the sum of its proper divisors (71638224288).

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

41443270656 is an equidigital number, since it uses as much as digits as its factorization.

41443270656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39289 (or 39265 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 41443270656 in words is "forty-one billion, four hundred forty-three million, two hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2048 2064 2752 3072 4096 4128 5504 6144 8192 8256 11008 12288 16512 22016 24576 33024 39217 44032 66048 78434 88064 117651 132096 156868 176128 235302 264192 313736 352256 470604 528384 627472 941208 1056768 1254944 1686331 1882416 2509888 3372662 3764832 5019776 5058993 6745324 7529664 10039552 10117986 13490648 15059328 20079104 20235972 26981296 30118656 40158208 40471944 53962592 60237312 80316416 80943888 107925184 120474624 160632832 161887776 215850368 240949248 321265664 323775552 431700736 481898496 647551104 863401472 963796992 1295102208 1726802944 2590204416 3453605888 5180408832 6907211776 10360817664 13814423552 20721635328 41443270656