Search a number
-
+
412130701200 = 243523718151283
BaseRepresentation
bin1011111111101001110…
…01110110111110010000
31110101210002121211200110
411333310321312332100
523223020424414300
6513155155121320
741526661105551
oct5776471667620
91411702554613
10412130701200
11149869044799
1267a598a3240
132cb2c8a584a
1415d392c4328
15aac1885550
hex5ff4e76f90

412130701200 has 240 divisors, whose sum is σ = 1363390473536. Its totient is φ = 106338355200.

The previous prime is 412130701187. The next prime is 412130701207. The reversal of 412130701200 is 2107031214.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (412130701207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8010759 + ... + 8062041.

Almost surely, 2412130701200 is an apocalyptic number.

412130701200 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 412130701200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681695236768).

412130701200 is an abundant number, since it is smaller than the sum of its proper divisors (951259772336).

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

412130701200 is a wasteful number, since it uses less digits than its factorization.

412130701200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51522 (or 51511 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 412130701200 its reverse (2107031214), we get a palindrome (414237732414).

The spelling of 412130701200 in words is "four hundred twelve billion, one hundred thirty million, seven hundred one thousand, two hundred".