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404312421440 = 2652816596823
BaseRepresentation
bin1011110001000101110…
…01011111010001000000
31102122121020011002002102
411320202321133101000
523111012434441230
6505423310205532
741132144610164
oct5704271372100
91378536132072
10404312421440
11146516904464
12664374b38a8
132c184bb95c5
14157d6c00ca4
15a7b52d3045
hex5e22e5f440

404312421440 has 112 divisors (see below), whose sum is σ = 967803154560. Its totient is φ = 160881315840.

The previous prime is 404312421439. The next prime is 404312421511. The reversal of 404312421440 is 44124213404.

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, 59253869 + ... + 59260691.

Almost surely, 2404312421440 is an apocalyptic number.

404312421440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404312421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483901577280).

404312421440 is an abundant number, since it is smaller than the sum of its proper divisors (563490733120).

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

404312421440 is a wasteful number, since it uses less digits than its factorization.

404312421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7780 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 404312421440 its reverse (44124213404), we get a palindrome (448436634844).

The spelling of 404312421440 in words is "four hundred four billion, three hundred twelve million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 281 320 562 659 1124 1318 1405 2248 2636 2810 3295 4496 5272 5620 6590 6823 8992 10544 11240 13180 13646 17984 21088 22480 26360 27292 34115 42176 44960 52720 54584 68230 89920 105440 109168 136460 185179 210880 218336 272920 370358 436672 545840 740716 925895 1091680 1481432 1851790 1917263 2183360 2962864 3703580 3834526 4496357 5925728 7407160 7669052 8992714 9586315 11851456 14814320 15338104 17985428 19172630 22481785 29628640 30676208 35970856 38345260 44963570 59257280 61352416 71941712 76690520 89927140 122704832 143883424 153381040 179854280 287766848 306762080 359708560 613524160 719417120 1263476317 1438834240 2526952634 5053905268 6317381585 10107810536 12634763170 20215621072 25269526340 40431242144 50539052680 80862484288 101078105360 202156210720 404312421440