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442884407742 = 232775113073581
BaseRepresentation
bin1100111000111011111…
…01111100000110111110
31120100011101011000001200
412130131331330012332
524224011402021432
6535242553520330
743666042231560
oct6343575740676
91510141130050
10442884407742
1116090a77a697
1271a011130a6
13329c116253a
1417615887330
15b7c173ea7c
hex671df7c1be

442884407742 has 96 divisors (see below), whose sum is σ = 1099273503744. Its totient is φ = 126237960000.

The previous prime is 442884407737. The next prime is 442884407753. The reversal of 442884407742 is 247704488244.

It is a super-2 number, since 2×4428844077422 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123674392 + ... + 123677972.

It is an arithmetic number, because the mean of its divisors is an integer number (11450765664).

Almost surely, 2442884407742 is an apocalyptic number.

442884407742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

442884407742 is an abundant number, since it is smaller than the sum of its proper divisors (656389096002).

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

442884407742 is a wasteful number, since it uses less digits than its factorization.

442884407742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 12845056, while the sum is 54.

The spelling of 442884407742 in words is "four hundred forty-two billion, eight hundred eighty-four million, four hundred seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 751 1307 1502 2253 2614 3581 3921 4506 5257 6759 7162 7842 9149 10514 10743 11763 13518 15771 18298 21486 23526 25067 27447 31542 32229 47313 50134 54894 64458 75201 82341 94626 150402 164682 225603 451206 981557 1963114 2689331 2944671 4680367 5378662 5889342 6870899 8067993 8834013 9360734 13741798 14041101 16135986 17668026 18825317 20612697 24203979 28082202 32762569 37650634 41225394 42123303 48407958 56475951 61838091 65525138 84246606 98287707 112951902 123676182 169427853 196575414 294863121 338855706 589726242 3514955617 7029911234 10544866851 21089733702 24604689319 31634600553 49209378638 63269201106 73814067957 147628135914 221442203871 442884407742