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34442423014440 = 2335748341848201
BaseRepresentation
bin1111101010011010000000…
…11000111001010000101000
311111221122220200100020212010
413311031000120321100220
514003301040242430230
6201130344121515520
710153245231103230
oct765150030712050
9144848820306763
1034442423014440
11aa79a49974731
123a43209942ba0
13162aba291170c
14871044b8acc0
153eadd6c349b0
hex1f5340639428

34442423014440 has 128 divisors (see below), whose sum is σ = 118090889521920. Its totient is φ = 7872381696000.

The previous prime is 34442423014339. The next prime is 34442423014507. The reversal of 34442423014440 is 4441032424443.

It is a happy number.

It is an unprimeable number.

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, 40182340 + ... + 41030540.

It is an arithmetic number, because the mean of its divisors is an integer number (922585074390).

Almost surely, 234442423014440 is an apocalyptic number.

34442423014440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34442423014440 is an abundant number, since it is smaller than the sum of its proper divisors (83648466507480).

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

34442423014440 is a wasteful number, since it uses less digits than its factorization.

34442423014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896563 (or 896559 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 34442423014440 its reverse (4441032424443), we get a palindrome (38883455438883).

The spelling of 34442423014440 in words is "thirty-four trillion, four hundred forty-two billion, four hundred twenty-three million, fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 48341 96682 145023 193364 241705 290046 338387 386728 483410 580092 676774 725115 848201 966820 1015161 1160184 1353548 1450230 1691935 1696402 1933640 2030322 2544603 2707096 2900460 3383870 3392804 4060644 4241005 5075805 5089206 5800920 5937407 6767740 6785608 8121288 8482010 10151610 10178412 11874814 12723015 13535480 16964020 17812221 20303220 20356824 23749628 25446030 29687035 33928040 35624442 40606440 47499256 50892060 59374070 71248884 89061105 101784120 118748140 142497768 178122210 237496280 356244420 712488840 41002884541 82005769082 123008653623 164011538164 205014422705 246017307246 287020191787 328023076328 410028845410 492034614492 574040383574 615043268115 820057690820 861060575361 984069228984 1148080767148 1230086536230 1435100958935 1640115381640 1722121150722 2296161534296 2460173072460 2870201917870 3444242301444 4305302876805 4920346144920 5740403835740 6888484602888 8610605753610 11480807671480 17221211507220 34442423014440