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43142231400 = 23352251286469
BaseRepresentation
bin101000001011011110…
…100011010101101000
311010100122201102122020
4220023132203111220
51201323402401100
631452543424440
73055050626202
oct501336432550
9133318642566
1043142231400
1117329734aa4
1284402b5120
1340b7075998
142133a39772
1511c77c35a0
hexa0b7a3568

43142231400 has 96 divisors (see below), whose sum is σ = 134274218400. Its totient is φ = 11458720000.

The previous prime is 43142231369. The next prime is 43142231413. The reversal of 43142231400 is 413224134.

It is a super-2 number, since 2×431422314002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7366 + ... + 293834.

It is an arithmetic number, because the mean of its divisors is an integer number (1398689775).

Almost surely, 243142231400 is an apocalyptic number.

43142231400 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 43142231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67137109200).

43142231400 is an abundant number, since it is smaller than the sum of its proper divisors (91131987000).

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

43142231400 is a wasteful number, since it uses less digits than its factorization.

43142231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286739 (or 286730 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 43142231400 its reverse (413224134), we get a palindrome (43555455534).

The spelling of 43142231400 in words is "forty-three billion, one hundred forty-two million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 251 300 502 600 753 1004 1255 1506 2008 2510 3012 3765 5020 6024 6275 7530 10040 12550 15060 18825 25100 30120 37650 50200 75300 150600 286469 572938 859407 1145876 1432345 1718814 2291752 2864690 3437628 4297035 5729380 6875256 7161725 8594070 11458760 14323450 17188140 21485175 28646900 34376280 42970350 57293800 71903719 85940700 143807438 171881400 215711157 287614876 359518595 431422314 575229752 719037190 862844628 1078555785 1438074380 1725689256 1797592975 2157111570 2876148760 3595185950 4314223140 5392778925 7190371900 8628446280 10785557850 14380743800 21571115700 43142231400