Search a number
-
+
404343426040 = 235291677192903
BaseRepresentation
bin1011110001001001011…
…11110000101111111000
31102122200101111021101221
411320210233300233320
523111043404113130
6505430334521424
741133002261461
oct5704457605770
91378611437357
10404343426040
111465323606a4
1266445966274
132c18b453918
14157dad91d68
15a7b7da987a
hex5e24bf0bf8

404343426040 has 128 divisors (see below), whose sum is σ = 948423168000. Its totient is φ = 154955842048.

The previous prime is 404343426023. The next prime is 404343426041. The reversal of 404343426040 is 40624343404.

It is a junction number, because it is equal to n+sod(n) for n = 404343425987 and 404343426005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404343426041) 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, 139283229 + ... + 139286131.

It is an arithmetic number, because the mean of its divisors is an integer number (7409556000).

Almost surely, 2404343426040 is an apocalyptic number.

404343426040 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 404343426040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474211584000).

404343426040 is an abundant number, since it is smaller than the sum of its proper divisors (544079741960).

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

404343426040 is a wasteful number, since it uses less digits than its factorization.

404343426040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 404343426040 its reverse (40624343404), we get a palindrome (444967769444).

The spelling of 404343426040 in words is "four hundred four billion, three hundred forty-three million, four hundred twenty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 167 232 290 334 580 668 719 835 1160 1336 1438 1670 2876 2903 3340 3595 4843 5752 5806 6680 7190 9686 11612 14380 14515 19372 20851 23224 24215 28760 29030 38744 41702 48430 58060 83404 84187 96860 104255 116120 120073 166808 168374 193720 208510 240146 336748 417020 420935 480292 484801 600365 673496 834040 841870 960584 969602 1200730 1683740 1939204 2087257 2401460 2424005 3367480 3482117 3878408 4174514 4802920 4848010 6964234 8349028 9696020 10436285 13928468 14059229 16698056 17410585 19392040 20872570 27856936 28118458 34821170 41745140 56236916 60530453 69642340 70296145 83490280 112473832 121060906 139284680 140592290 242121812 281184580 302652265 348571919 484243624 562369160 605304530 697143838 1210609060 1394287676 1742859595 2421218120 2788575352 3485719190 6971438380 10108585651 13942876760 20217171302 40434342604 50542928255 80868685208 101085856510 202171713020 404343426040