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4312405123040 = 25574493856969
BaseRepresentation
bin111110110000001111011…
…000000001111111100000
3120021021001221001021100202
4332300033120001333200
51031123301202414130
613101031440004332
7623363263512110
oct76601730017740
916237057037322
104312405123040
1114129762a4473
125979339006a8
132538729a5221
1410ca15bd9040
1577297761145
hex3ec0f601fe0

4312405123040 has 96 divisors (see below), whose sum is σ = 11646098896320. Its totient is φ = 1478208098304.

The previous prime is 4312405123021. The next prime is 4312405123069. The reversal of 4312405123040 is 403215042134.

4312405123040 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 = 4312405122994 and 4312405123012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4603676 + ... + 5460644.

It is an arithmetic number, because the mean of its divisors is an integer number (121313530170).

Almost surely, 24312405123040 is an apocalyptic number.

4312405123040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4312405123040 is an abundant number, since it is smaller than the sum of its proper divisors (7333693773280).

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

4312405123040 is a wasteful number, since it uses less digits than its factorization.

4312405123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861484 (or 861476 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 4312405123040 in words is "four trillion, three hundred twelve billion, four hundred five million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 4493 8986 17972 22465 31451 35944 44930 62902 71888 89860 125804 143776 157255 179720 251608 314510 359440 503216 629020 718880 856969 1006432 1258040 1713938 2516080 3427876 4284845 5032160 5998783 6855752 8569690 11997566 13711504 17139380 23995132 27423008 29993915 34278760 47990264 59987830 68557520 95980528 119975660 137115040 191961056 239951320 479902640 959805280 3850361717 7700723434 15401446868 19251808585 26952532019 30802893736 38503617170 53905064038 61605787472 77007234340 107810128076 123211574944 134762660095 154014468680 215620256152 269525320190 308028937360 431240512304 539050640380 616057874720 862481024608 1078101280760 2156202561520 4312405123040