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244132400000 = 2755610331
BaseRepresentation
bin1110001101011101101…
…1001100101110000000
3212100011000011220002202
43203113123030232000
512444440343300000
6304053004332332
723431554106136
oct3432733145600
9770130156082
10244132400000
1194599414555
123b3935440a8
131a03856c128
14bb5d429756
15653cb35dd5
hex38d76ccb80

244132400000 has 96 divisors (see below), whose sum is σ = 607908981960. Its totient is φ = 97652800000.

The previous prime is 244132399999. The next prime is 244132400033. The reversal of 244132400000 is 4231442.

244132400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2441324000004 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94835 + ... + 705165.

Almost surely, 2244132400000 is an apocalyptic number.

244132400000 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 244132400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303954490980).

244132400000 is an abundant number, since it is smaller than the sum of its proper divisors (363776581960).

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

244132400000 is an frugal number, since it uses more digits than its factorization.

244132400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610370 (or 610338 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 244132400000 its reverse (4231442), we get a palindrome (244136631442).

The spelling of 244132400000 in words is "two hundred forty-four billion, one hundred thirty-two million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000 610331 1220662 2441324 3051655 4882648 6103310 9765296 12206620 15258275 19530592 24413240 30516550 39061184 48826480 61033100 76291375 78122368 97652960 122066200 152582750 195305920 244132400 305165500 381456875 390611840 488264800 610331000 762913750 976529600 1220662000 1525827500 1907284375 1953059200 2441324000 3051655000 3814568750 4882648000 6103310000 7629137500 9765296000 12206620000 15258275000 24413240000 30516550000 48826480000 61033100000 122066200000 244132400000