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441465504054 = 2317137181347503
BaseRepresentation
bin1100110110010010110…
…01010000000100110110
31120012111111020020010020
412123021121100010312
524213110132112204
6534450105510010
743615632604251
oct6331131200466
91505444206106
10441465504054
1116025184a313
1271685aa2306
13328261c5663
141751d254098
15b73bdb3bd9
hex66c9650136

441465504054 has 128 divisors (see below), whose sum is σ = 951511421952. Its totient is φ = 136063365120.

The previous prime is 441465504049. The next prime is 441465504113. The reversal of 441465504054 is 450405564144.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 441465503997 and 441465504015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 877664767 + ... + 877665269.

It is an arithmetic number, because the mean of its divisors is an integer number (7433682984).

Almost surely, 2441465504054 is an apocalyptic number.

441465504054 is an abundant number, since it is smaller than the sum of its proper divisors (510045917898).

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

441465504054 is a wasteful number, since it uses less digits than its factorization.

441465504054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190.

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 441465504054 in words is "four hundred forty-one billion, four hundred sixty-five million, five hundred four thousand, fifty-four".

Divisors: 1 2 3 6 17 34 51 102 137 181 274 347 362 411 503 543 694 822 1006 1041 1086 1509 2082 2329 3018 3077 4658 5899 6154 6987 8551 9231 11798 13974 17102 17697 18462 24797 25653 35394 47539 49594 51306 62807 68911 74391 91043 95078 125614 137822 142617 148782 174541 182086 188421 206733 273129 285234 349082 376842 413466 421549 523623 546258 808163 843098 1047246 1067719 1171487 1264647 1547731 1616326 2135438 2342974 2424489 2529294 2967197 3095462 3203157 3514461 4643193 4848978 5934394 6406314 7028922 8604559 8901591 9286386 12472891 17209118 17803182 23912117 24945782 25813677 31591921 37418673 47824234 51627354 63183842 71736351 74837346 94775763 143472702 146277503 189551526 212039147 292555006 406505989 424078294 438832509 537062657 636117441 813011978 877665018 1074125314 1219517967 1272234882 1611187971 2439035934 3222375942 4328093177 8656186354 12984279531 25968559062 73577584009 147155168018 220732752027 441465504054