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405023320240 = 24571165750539
BaseRepresentation
bin1011110010011010100…
…01010110100010110000
31102201102202211110220121
411321031101112202300
523113441432221430
6510022023220024
741155566263350
oct5711521264260
91381382743817
10405023320240
11146851118230
12665b55a7614
132c269273696
14158633b4b60
15a807909a7a
hex5e4d4568b0

405023320240 has 80 divisors (see below), whose sum is σ = 1174041642240. Its totient is φ = 126241032960.

The previous prime is 405023320217. The next prime is 405023320309. The reversal of 405023320240 is 42023320504.

It is a tau number, because it is divible by the number of its divisors (80).

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, 32869110 + ... + 32881429.

It is an arithmetic number, because the mean of its divisors is an integer number (14675520528).

Almost surely, 2405023320240 is an apocalyptic number.

405023320240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405023320240 is an abundant number, since it is smaller than the sum of its proper divisors (769018322000).

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

405023320240 is a wasteful number, since it uses less digits than its factorization.

405023320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65750570 (or 65750564 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 405023320240 its reverse (42023320504), we get a palindrome (447046640744).

The spelling of 405023320240 in words is "four hundred five billion, twenty-three million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 65750539 131501078 263002156 328752695 460253773 526004312 657505390 723255929 920507546 1052008624 1315010780 1446511858 1841015092 2301268865 2630021560 2893023716 3616279645 3682030184 4602537730 5062791503 5260043120 5786047432 7232559290 7364060368 9205075460 10125583006 11572094864 14465118580 18410150920 20251166012 25313957515 28930237160 36820301840 40502332024 50627915030 57860474320 81004664048 101255830060 202511660120 405023320240