Search a number
-
+
44340131400 = 23352236152673
BaseRepresentation
bin101001010010111000…
…001011011001001000
311020110010210001111220
4221102320023121020
51211302033201100
632211454522040
73126534620055
oct512270133110
9136403701456
1044340131400
1117893936aa4
128715506320
1342482b3356
142208b8002c
151247a46aa0
hexa52e0b648

44340131400 has 192 divisors, whose sum is σ = 145784776320. Its totient is φ = 11124326400.

The previous prime is 44340131387. The next prime is 44340131401. The reversal of 44340131400 is 413104344.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (44340131401) 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, 815464 + ... + 868136.

It is an arithmetic number, because the mean of its divisors is an integer number (759295710).

Almost surely, 244340131400 is an apocalyptic number.

44340131400 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 44340131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72892388160).

44340131400 is an abundant number, since it is smaller than the sum of its proper divisors (101444644920).

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

44340131400 is a wasteful number, since it uses less digits than its factorization.

44340131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52776 (or 52767 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 44340131400 its reverse (413104344), we get a palindrome (44753235744).

The spelling of 44340131400 in words is "forty-four billion, three hundred forty million, one hundred thirty-one thousand, four hundred".