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244334131400 = 23521221670657
BaseRepresentation
bin1110001110001101110…
…0101111100011001000
3212100200001202220120002
43203203130233203020
513000344014201100
6304125012222132
723436553564262
oct3434334574310
9770601686502
10244334131400
119469227a317
123b42b00a948
131a06b2b1518
14bb7c13cb32
1565506d32d5
hex38e372f8c8

244334131400 has 24 divisors (see below), whose sum is σ = 568076855970. Its totient is φ = 97733652480.

The previous prime is 244334131357. The next prime is 244334131417. The reversal of 244334131400 is 4131433442.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 220191808516 + 24142322884 = 469246^2 + 155378^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610835129 + ... + 610835528.

Almost surely, 2244334131400 is an apocalyptic number.

244334131400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244334131400 is an abundant number, since it is smaller than the sum of its proper divisors (323742724570).

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

244334131400 is a wasteful number, since it uses less digits than its factorization.

244334131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221670673 (or 1221670664 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 244334131400 its reverse (4131433442), we get a palindrome (248465564842).

The spelling of 244334131400 in words is "two hundred forty-four billion, three hundred thirty-four million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1221670657 2443341314 4886682628 6108353285 9773365256 12216706570 24433413140 30541766425 48866826280 61083532850 122167065700 244334131400