Search a number
-
+
41429943360 = 26325131106569
BaseRepresentation
bin100110100101011010…
…101100010001000000
310221221022202012000200
4212211122230101000
51134322031141420
631011015245200
72664446464611
oct464532542100
9127838665020
1041429943360
1116630139713
128042979800
133ba33b62b0
142010475c08
1511272e3b90
hex9a56ac440

41429943360 has 168 divisors, whose sum is σ = 153463553880. Its totient is φ = 10198130688.

The previous prime is 41429943353. The next prime is 41429943389. The reversal of 41429943360 is 6334992414.

It can be written as a sum of positive squares in 4 ways, for example, as 4593586176 + 36836357184 = 67776^2 + 191928^2 .

It is a super-3 number, since 3×414299433603 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515845 + ... + 590724.

It is an arithmetic number, because the mean of its divisors is an integer number (913473535).

Almost surely, 241429943360 is an apocalyptic number.

41429943360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41429943360 is an abundant number, since it is smaller than the sum of its proper divisors (112033610520).

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

41429943360 is a wasteful number, since it uses less digits than its factorization.

41429943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106605 (or 1106592 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 41429943360 in words is "forty-one billion, four hundred twenty-nine million, nine hundred forty-three thousand, three hundred sixty".