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441241242112 = 2911375633761
BaseRepresentation
bin1100110101111000000…
…01110000101000000000
31120011220212020112120101
412122330001300220000
524212130224221422
6534411535052144
743610240450326
oct6327401605000
91504825215511
10441241242112
111601471a5a70
1271622971054
13327bb8c5098
14174db557d16
15b727365c27
hex66bc070a00

441241242112 has 160 divisors (see below), whose sum is σ = 989779310784. Its totient is φ = 194745139200.

The previous prime is 441241242107. The next prime is 441241242137. The reversal of 441241242112 is 211242142144.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117318312 + ... + 117322072.

Almost surely, 2441241242112 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 441241242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494889655392).

441241242112 is an abundant number, since it is smaller than the sum of its proper divisors (548538068672).

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

441241242112 is a wasteful number, since it uses less digits than its factorization.

441241242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4374 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

Adding to 441241242112 its reverse (211242142144), we get a palindrome (652483384256).

The spelling of 441241242112 in words is "four hundred forty-one billion, two hundred forty-one million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 512 563 592 704 814 1126 1184 1408 1628 2252 2368 2816 3256 3761 4504 4736 5632 6193 6512 7522 9008 9472 12386 13024 15044 18016 18944 20831 24772 26048 30088 36032 41371 41662 49544 52096 60176 72064 82742 83324 99088 104192 120352 139157 144128 165484 166648 198176 208384 229141 240704 278314 288256 330968 333296 396352 458282 481408 556628 661936 666592 792704 916564 962816 1113256 1323872 1333184 1530727 1585408 1833128 1925632 2117443 2226512 2647744 2666368 3061454 3170816 3666256 4234886 4453024 5295488 5332736 6122908 7332512 8469772 8906048 10590976 10665472 12245816 14665024 16939544 17812096 21181952 23291873 24491632 29330048 33879088 35624192 46583746 48983264 58660096 67758176 71248384 78345391 93167492 97966528 117320192 135516352 156690782 186334984 195933056 271032704 313381564 372669968 391866112 542065408 626763128 745339936 783732224 861799301 1084130816 1253526256 1490679872 1723598602 2507052512 2981359744 3447197204 5014105024 5962719488 6894394408 10028210048 11925438976 13788788816 20056420096 27577577632 40112840192 55155155264 110310310528 220620621056 441241242112