Search a number
-
+
41947055280 = 24345131721723
BaseRepresentation
bin100111000100001111…
…010100010010110000
311000021100210012020000
4213010033110102300
51141401421232110
631134210550000
73013326041544
oct470417242260
9130240705200
1041947055280
1116876023539
128167b98300
133c56580090
14205d003a24
1511578dc1c0
hex9c43d44b0

41947055280 has 600 divisors, whose sum is σ = 166763878512. Its totient is φ = 9712410624.

The previous prime is 41947055251. The next prime is 41947055287. The reversal of 41947055280 is 8255074914.

41947055280 is a `hidden beast` number, since 4 + 1 + 94 + 7 + 0 + 552 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (41947055287) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24344499 + ... + 24346221.

Almost surely, 241947055280 is an apocalyptic number.

41947055280 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 41947055280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83381939256).

41947055280 is an abundant number, since it is smaller than the sum of its proper divisors (124816823232).

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

41947055280 is a wasteful number, since it uses less digits than its factorization.

41947055280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 41947055280 in words is "forty-one billion, nine hundred forty-seven million, fifty-five thousand, two hundred eighty".