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400043024200 = 235217230950957
BaseRepresentation
bin1011101001001000110…
…11000001111101001000
31102020120200112020002201
411310210123001331020
523023242003233300
6503435514205544
740621303413001
oct5644433017510
91366520466081
10400043024200
11144725949096
12656457238b4
132b954523551
141550dba21a8
15a61559666a
hex5d246c1f48

400043024200 has 96 divisors (see below), whose sum is σ = 985257642600. Its totient is φ = 150536253440.

The previous prime is 400043024167. The next prime is 400043024231. The reversal of 400043024200 is 2420340004.

It can be written as a sum of positive squares in 12 ways, for example, as 193489135876 + 206553888324 = 439874^2 + 454482^2 .

It is a super-3 number, since 3×4000430242003 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7825122 + ... + 7876078.

Almost surely, 2400043024200 is an apocalyptic number.

400043024200 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 400043024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492628821300).

400043024200 is an abundant number, since it is smaller than the sum of its proper divisors (585214618400).

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

400043024200 is a wasteful number, since it uses less digits than its factorization.

400043024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53299 (or 53290 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 400043024200 its reverse (2420340004), we get a palindrome (402463364204).

The spelling of 400043024200 in words is "four hundred billion, forty-three million, twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 2309 3400 4618 9236 11545 18472 23090 39253 46180 50957 57725 78506 92360 101914 115450 157012 196265 203828 230900 254785 314024 392530 407656 461800 509570 785060 866269 981325 1019140 1273925 1570120 1732538 1962650 2038280 2547850 3465076 3925300 4331345 5095700 6930152 7850600 8662690 10191400 17325380 21656725 34650760 43313450 86626900 117659713 173253800 235319426 470638852 588298565 941277704 1176597130 2000215121 2353194260 2941492825 4000430242 4706388520 5882985650 8000860484 10001075605 11765971300 16001720968 20002151210 23531942600 40004302420 50005378025 80008604840 100010756050 200021512100 400043024200