Search a number
-
+
244003134400 = 2652835473359
BaseRepresentation
bin1110001100111110111…
…0000101101111000000
3212022210222221112000221
43203033232011233000
512444204300300100
6304032105552424
723425424264404
oct3431756055700
9768728845027
10244003134400
1194532454383
123b3581a5714
131a01784c9cc
14bb4a1bb104
15653160001a
hex38cfb85bc0

244003134400 has 168 divisors, whose sum is σ = 608926026240. Its totient is φ = 96220400640.

The previous prime is 244003134383. The next prime is 244003134439. The reversal of 244003134400 is 4431300442.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 72639921 + ... + 72643279.

It is an arithmetic number, because the mean of its divisors is an integer number (3624559680).

Almost surely, 2244003134400 is an apocalyptic number.

244003134400 is a gapful number since it is divisible by the number (20) 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 244003134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304463013120).

244003134400 is an abundant number, since it is smaller than the sum of its proper divisors (364922891840).

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

244003134400 is a wasteful number, since it uses less digits than its factorization.

244003134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 244003134400 its reverse (4431300442), we get a palindrome (248434434842).

The spelling of 244003134400 in words is "two hundred forty-four billion, three million, one hundred thirty-four thousand, four hundred".