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4425330515040 = 2532516718402073
BaseRepresentation
bin100000001100101101001…
…0000001101110001100000
3120200001112220002120010200
41000121122100031301200
51040001034102440130
613224545131025200
7634501546510161
oct100313220156140
916601486076120
104425330515040
111456854786916
125b57aa29b200
132613cb2935c6
14114289723768
157a1a65b1760
hex4065a40dc60

4425330515040 has 144 divisors (see below), whose sum is σ = 15191868994848. Its totient is φ = 1173021677568.

The previous prime is 4425330515027. The next prime is 4425330515057. The reversal of 4425330515040 is 405150335244.

4425330515040 is a `hidden beast` number, since 442 + 53 + 30 + 51 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4425330514986 and 4425330515004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8960557 + ... + 9441516.

It is an arithmetic number, because the mean of its divisors is an integer number (105499090242).

Almost surely, 24425330515040 is an apocalyptic number.

4425330515040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4425330515040 is an abundant number, since it is smaller than the sum of its proper divisors (10766538479808).

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

4425330515040 is a wasteful number, since it uses less digits than its factorization.

4425330515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18402261 (or 18402250 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 4425330515040 in words is "four trillion, four hundred twenty-five billion, three hundred thirty million, five hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 167 180 240 288 334 360 480 501 668 720 835 1002 1336 1440 1503 1670 2004 2505 2672 3006 3340 4008 5010 5344 6012 6680 7515 8016 10020 12024 13360 15030 16032 20040 24048 26720 30060 40080 48096 60120 80160 120240 240480 18402073 36804146 55206219 73608292 92010365 110412438 147216584 165618657 184020730 220824876 276031095 294433168 331237314 368041460 441649752 552062190 588866336 662474628 736082920 828093285 883299504 1104124380 1324949256 1472165840 1656186570 1766599008 2208248760 2649898512 2944331680 3073146191 3312373140 4416497520 5299797024 6146292382 6624746280 8832995040 9219438573 12292584764 13249492560 15365730955 18438877146 24585169528 26498985120 27658315719 30731461910 36877754292 46097192865 49170339056 55316631438 61462923820 73755508584 92194385730 98340678112 110633262876 122925847640 138291578595 147511017168 184388771460 221266525752 245851695280 276583157190 295022034336 368777542920 442533051504 491703390560 553166314380 737555085840 885066103008 1106332628760 1475110171680 2212665257520 4425330515040