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3002540240340 = 2232573323419721
BaseRepresentation
bin101011101100010101010…
…110000010110111010100
3101122001002012011212002200
4223230111112002313110
5343143200300142330
610215203053404500
7426632513641434
oct53542526026724
911561065155080
103002540240340
11a58408764963
12405ab4799730
1318a1a4bab3b4
14a54764202c4
155318276ca60
hex2bb15582dd4

3002540240340 has 144 divisors (see below), whose sum is σ = 9124965057936. Its totient is φ = 799161292800.

The previous prime is 3002540240321. The next prime is 3002540240351. The reversal of 3002540240340 is 430420452003.

3002540240340 is a `hidden beast` number, since 3 + 0 + 0 + 254 + 0 + 2 + 403 + 4 + 0 = 666.

3002540240340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 401842116 + 3002138398224 = 20046^2 + 1732668^2 .

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, 308866680 + ... + 308876400.

Almost surely, 23002540240340 is an apocalyptic number.

3002540240340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3002540240340 is an abundant number, since it is smaller than the sum of its proper divisors (6122424817596).

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

3002540240340 is a wasteful number, since it uses less digits than its factorization.

3002540240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12810 (or 12805 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 3002540240340 its reverse (430420452003), we get a palindrome (3432960692343).

The spelling of 3002540240340 in words is "three trillion, two billion, five hundred forty million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 733 1466 2199 2341 2932 3665 4398 4682 6597 7023 7330 8796 9364 9721 10995 11705 13194 14046 14660 19442 21069 21990 23410 26388 28092 29163 32985 35115 38884 42138 43980 46820 48605 58326 65970 70230 84276 87489 97210 105345 116652 131940 140460 145815 174978 194420 210690 291630 349956 421380 437445 583260 874890 1715953 1749780 3431906 5147859 6863812 7125493 8579765 10295718 14250986 15443577 17159530 20591436 21376479 22756861 25739295 28501972 30887154 34319060 35627465 42752958 45513722 51478590 61774308 64129437 68270583 71254930 77217885 85505916 91027444 102957180 106882395 113784305 128258874 136541166 142509860 154435770 204811749 213764790 227568610 256517748 273082332 308871540 320647185 341352915 409623498 427529580 455137220 641294370 682705830 819246996 1024058745 1282588740 1365411660 2048117490 4096234980 16680779113 33361558226 50042337339 66723116452 83403895565 100084674678 150127012017 166807791130 200169349356 250211686695 300254024034 333615582260 500423373390 600508048068 750635060085 1000846746780 1501270120170 3002540240340