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43413242130 = 23258317233373
BaseRepresentation
bin101000011011101000…
…011000000100010010
311011001112200012110200
4220123220120010102
51202402242222010
631535504240030
73064551320016
oct503350300422
9134045605420
1043413242130
1117458709405
1284b7010016
13412b26386b
14215ba24546
1511e14a7cc0
hexa1ba18112

43413242130 has 96 divisors (see below), whose sum is σ = 114334549056. Its totient is φ = 11427357312.

The previous prime is 43413242113. The next prime is 43413242183. The reversal of 43413242130 is 3124231434.

43413242130 is a `hidden beast` number, since 4 + 3 + 413 + 242 + 1 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 43413242094 and 43413242103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12869124 + ... + 12872496.

It is an arithmetic number, because the mean of its divisors is an integer number (1190984886).

Almost surely, 243413242130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43413242130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57167274528).

43413242130 is an abundant number, since it is smaller than the sum of its proper divisors (70921306926).

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

43413242130 is a wasteful number, since it uses less digits than its factorization.

43413242130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 43413242130 its reverse (3124231434), we get a palindrome (46537473564).

The spelling of 43413242130 in words is "forty-three billion, four hundred thirteen million, two hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 1723 2490 3373 3446 3735 5169 6746 7470 8615 10119 10338 15507 16865 17230 20238 25845 30357 31014 33730 50595 51690 60714 77535 101190 143009 151785 155070 279959 286018 303570 429027 559918 715045 839877 858054 1287081 1399795 1430090 1679754 2145135 2519631 2574162 2799590 4199385 4290270 5039262 5811679 6435405 8398770 11623358 12598155 12870810 17435037 25196310 29058395 34870074 52305111 58116790 87175185 104610222 174350370 261525555 482369357 523051110 964738714 1447108071 2411846785 2894216142 4341324213 4823693570 7235540355 8682648426 14471080710 21706621065 43413242130