Search a number
-
+
43106230819120 = 2457195921163843
BaseRepresentation
bin10011100110100011100111…
…00100110101100100110000
312122121220201100020000222211
421303101303210311210300
521122223030042202440
6231402421250541504
712036215404261540
oct1163216344654460
9178556640200884
1043106230819120
111280a28257a537
124a02339597894
131b08b9175ac01
14a904d1b67320
154eb45a6c8eea
hex273473935930

43106230819120 has 240 divisors, whose sum is σ = 122646066935040. Its totient is φ = 13764098271744.

The previous prime is 43106230819087. The next prime is 43106230819159. The reversal of 43106230819120 is 2191803260134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36455919 + ... + 37619761.

It is an arithmetic number, because the mean of its divisors is an integer number (511025278896).

Almost surely, 243106230819120 is an apocalyptic number.

43106230819120 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 43106230819120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61323033467520).

43106230819120 is an abundant number, since it is smaller than the sum of its proper divisors (79539836115920).

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

43106230819120 is a wasteful number, since it uses less digits than its factorization.

43106230819120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164000 (or 1163935 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 43106230819120 in words is "forty-three trillion, one hundred six billion, two hundred thirty million, eight hundred nineteen thousand, one hundred twenty".