Search a number
-
+
426410000040 = 23358342812249
BaseRepresentation
bin1100011010010000000…
…01000011111010101000
31111202122020122101020110
412031020001003322220
523441241430000130
6523520130054320
742543560124453
oct6151001037250
91452566571213
10426410000040
11154926368312
126a783a1a3a0
1331297014bbb
14168d190249a
15b15a288ab0
hex6348043ea8

426410000040 has 64 divisors (see below), whose sum is σ = 1294642440000. Its totient is φ = 112339338752.

The previous prime is 426409999993. The next prime is 426410000057. The reversal of 426410000040 is 40000014624.

It is a super-2 number, since 2×4264100000402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 426409999971 and 426410000016.

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, 21396165 + ... + 21416084.

It is an arithmetic number, because the mean of its divisors is an integer number (20228788125).

Almost surely, 2426410000040 is an apocalyptic number.

426410000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426410000040 is an abundant number, since it is smaller than the sum of its proper divisors (868232439960).

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

426410000040 is a wasteful number, since it uses less digits than its factorization.

426410000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42812346 (or 42812342 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 426410000040 its reverse (40000014624), we get a palindrome (466410014664).

The spelling of 426410000040 in words is "four hundred twenty-six billion, four hundred ten million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 42812249 85624498 128436747 171248996 214061245 256873494 342497992 428122490 513746988 642183735 856244980 1027493976 1284367470 1712489960 2568734940 3553416667 5137469880 7106833334 10660250001 14213666668 17767083335 21320500002 28427333336 35534166670 42641000004 53301250005 71068333340 85282000008 106602500010 142136666680 213205000020 426410000040