Search a number
-
+
43343001504 = 2534112138197
BaseRepresentation
bin101000010111011100…
…011011011110100000
311010212122111121110000
4220113130123132200
51202231302022004
631524514540000
73063036301605
oct502734333640
9133778447400
1043343001504
1117421aa3600
128497597600
13411983c66a
14215257c6ac
1511da230c39
hexa1771b7a0

43343001504 has 180 divisors, whose sum is σ = 140113286082. Its totient is φ = 13134147840.

The previous prime is 43343001503. The next prime is 43343001553. The reversal of 43343001504 is 40510034334.

43343001504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 41269109904 + 2073891600 = 203148^2 + 45540^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (43343001503) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 244534 + ... + 382730.

Almost surely, 243343001504 is an apocalyptic number.

43343001504 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 43343001504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70056643041).

43343001504 is an abundant number, since it is smaller than the sum of its proper divisors (96770284578).

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

43343001504 is a wasteful number, since it uses less digits than its factorization.

43343001504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138241 (or 138213 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 43343001504 its reverse (40510034334), we get a palindrome (83853035838).

The spelling of 43343001504 in words is "forty-three billion, three hundred forty-three million, one thousand, five hundred four".