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663114104240 = 245723317212953
BaseRepresentation
bin10011010011001001010…
…11100011110110110000
32100101121120011202011112
421221210223203312300
541331024202313430
61224344100332452
765623404612560
oct11514453436660
92311546152145
10663114104240
11236252696225
12a86236a4128
134a6ba610413
1424148562da0
15123b0ba3195
hex9a64ae3db0

663114104240 has 160 divisors (see below), whose sum is σ = 1771178887296. Its totient is φ = 226169487360.

The previous prime is 663114104201. The next prime is 663114104249. The reversal of 663114104240 is 42401411366.

663114104240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 663114104197 and 663114104206.

It is not an unprimeable number, because it can be changed into a prime (663114104249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224554604 + ... + 224557556.

Almost surely, 2663114104240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663114104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885589443648).

663114104240 is an abundant number, since it is smaller than the sum of its proper divisors (1108064783056).

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

663114104240 is a wasteful number, since it uses less digits than its factorization.

663114104240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 663114104240 in words is "six hundred sixty-three billion, one hundred fourteen million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 233 280 466 560 932 1165 1631 1721 1864 2330 2953 3262 3442 3728 4660 5906 6524 6884 8155 8605 9320 11812 12047 13048 13768 14765 16310 17210 18640 20671 23624 24094 26096 27536 29530 32620 34420 41342 47248 48188 59060 60235 65240 68840 82684 96376 103355 118120 120470 130480 137680 165368 192752 206710 236240 240940 330736 400993 413420 481880 688049 801986 826840 963760 1376098 1603972 1653680 2004965 2752196 2806951 3207944 3440245 4009930 4816343 5082113 5504392 5613902 6415888 6880490 8019860 9632686 10164226 11008784 11227804 13760980 14034755 16039720 19265372 20328452 22455608 24081715 25410565 27521960 28069510 32079440 35574791 38530744 40656904 44911216 48163430 50821130 55043920 56139020 71149582 77061488 81313808 96326860 101642260 112278040 142299164 177873955 192653720 203284520 224556080 284598328 355747910 385307440 406569040 569196656 711495820 1184132329 1422991640 2368264658 2845983280 4736529316 5920661645 8288926303 9473058632 11841323290 16577852606 18946117264 23682646580 33155705212 41444631515 47365293160 66311410424 82889263030 94730586320 132622820848 165778526060 331557052120 663114104240