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441426500372 = 2211133721139871
BaseRepresentation
bin1100110110001110001…
…00011101101100010100
31120012101202211122010102
412123013010131230110
524213020141002442
6534442153513232
743614650226014
oct6330704355424
91505352748112
10441426500372
1116023182a270
1271674a12818
133281b0ba460
1417517dbdc44
15b73875c232
hex66c711db14

441426500372 has 96 divisors (see below), whose sum is σ = 932612104704. Its totient is φ = 180104601600.

The previous prime is 441426500371. The next prime is 441426500419. The reversal of 441426500372 is 273005624144.

It is a happy number.

It is a super-2 number, since 2×4414265003722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441426500371) 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 31 ways as a sum of consecutive naturals, for example, 44714597 + ... + 44724467.

It is an arithmetic number, because the mean of its divisors is an integer number (9714709424).

Almost surely, 2441426500372 is an apocalyptic number.

It is an amenable number.

441426500372 is an abundant number, since it is smaller than the sum of its proper divisors (491185604332).

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

441426500372 is a wasteful number, since it uses less digits than its factorization.

441426500372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12049 (or 12047 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 441426500372 in words is "four hundred forty-one billion, four hundred twenty-six million, five hundred thousand, three hundred seventy-two".

Divisors: 1 2 4 11 13 22 26 37 44 52 74 143 148 286 407 481 572 814 962 1628 1924 2113 4226 5291 8452 9871 10582 19742 21164 23243 27469 39484 46486 54938 78181 92972 108581 109876 128323 156362 217162 256646 302159 312724 365227 434324 513292 604318 730454 859991 1016353 1208636 1411553 1460908 1719982 2032706 2823106 3439964 4017497 4065412 4747951 5646212 8034994 9495902 11179883 16069988 18991804 20857423 22359766 41714846 44719532 52227461 83429692 104454922 208909844 229431653 271146499 458863306 542292998 771724651 917726612 1084585996 1543449302 2982611489 3086898604 5965222978 8488971161 10032420463 11930445956 16977942322 20064840926 33955884644 40129681852 110356625093 220713250186 441426500372