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405423042200 = 235211184283201
BaseRepresentation
bin1011110011001010001…
…10001010111010011000
31102202110121222110100122
411321211012022322120
523120301244322300
6510125422452412
741201521666451
oct5714506127230
91382417873318
10405423042200
11146a36813260
12666a7434108
132c301018557
14158a0506128
15a82ca65c85
hex5e6518ae98

405423042200 has 48 divisors (see below), whose sum is σ = 1028300267160. Its totient is φ = 147426560000.

The previous prime is 405423042151. The next prime is 405423042217. The reversal of 405423042200 is 2240324504.

It is a happy number.

It is a super-3 number, since 3×4054230422003 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 405423042200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92139401 + ... + 92143800.

Almost surely, 2405423042200 is an apocalyptic number.

405423042200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405423042200 is an abundant number, since it is smaller than the sum of its proper divisors (622877224960).

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

405423042200 is a wasteful number, since it uses less digits than its factorization.

405423042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184283228 (or 184283219 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 405423042200 its reverse (2240324504), we get a palindrome (407663366704).

It can be divided in two parts, 40542304 and 2200, that added together give a palindrome (40544504).

The spelling of 405423042200 in words is "four hundred five billion, four hundred twenty-three million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 184283201 368566402 737132804 921416005 1474265608 1842832010 2027115211 3685664020 4054230422 4607080025 7371328040 8108460844 9214160050 10135576055 16216921688 18428320100 20271152110 36856640200 40542304220 50677880275 81084608440 101355760550 202711521100 405423042200