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43400264981304 = 233721131851312713
BaseRepresentation
bin10011101111000111010010…
…11000001001101100111000
312200200000200002101002202210
421313203221120021230320
521142032220313400204
6232145450111255120
712066365011361100
oct1167435130115470
9180600602332683
1043400264981304
1112912a49159560
124a4b318b1a4a0
131b2a8205c236a
14aa0826830200
15503e1924c389
hex2778e9609b38

43400264981304 has 384 divisors, whose sum is σ = 142158614906880. Its totient is φ = 10907018035200.

The previous prime is 43400264981299. The next prime is 43400264981317. The reversal of 43400264981304 is 40318946200434.

43400264981304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3413842852 + ... + 3413855564.

It is an arithmetic number, because the mean of its divisors is an integer number (370204726320).

Almost surely, 243400264981304 is an apocalyptic number.

43400264981304 is a gapful number since it is divisible by the number (44) 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 43400264981304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71079307453440).

43400264981304 is an abundant number, since it is smaller than the sum of its proper divisors (98758349925576).

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

43400264981304 is a wasteful number, since it uses less digits than its factorization.

43400264981304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21291 (or 21280 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 43400264981304 in words is "forty-three trillion, four hundred billion, two hundred sixty-four million, nine hundred eighty-one thousand, three hundred four".