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244042004400 = 24352203368337
BaseRepresentation
bin1110001101001000001…
…0010111011110110000
3212022220201002022122120
43203102002113132300
512444244223120100
6304040015034240
723426405545125
oct3432202273660
9768821068576
10244042004400
1194552392a47
123b36920b980
131a02290c0cc
14bb5141874c
156534c2c0a0
hex38d20977b0

244042004400 has 60 divisors (see below), whose sum is σ = 781747891272. Its totient is φ = 65077867520.

The previous prime is 244042004383. The next prime is 244042004429. The reversal of 244042004400 is 4400240442.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101682969 + ... + 101685368.

Almost surely, 2244042004400 is an apocalyptic number.

244042004400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244042004400 is an abundant number, since it is smaller than the sum of its proper divisors (537705886872).

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

244042004400 is a wasteful number, since it uses less digits than its factorization.

244042004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203368358 (or 203368347 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 244042004400 its reverse (4400240442), we get a palindrome (248442244842).

The spelling of 244042004400 in words is "two hundred forty-four billion, forty-two million, four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 203368337 406736674 610105011 813473348 1016841685 1220210022 1626946696 2033683370 2440420044 3050525055 3253893392 4067366740 4880840088 5084208425 6101050110 8134733480 9761680176 10168416850 12202100220 15252625275 16269466960 20336833700 24404200440 30505250550 40673667400 48808400880 61010501100 81347334800 122021002200 244042004400