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44103424200 = 23352116682337
BaseRepresentation
bin101001000100110001…
…001101100011001000
311012211122101002021120
4221010301031203020
51210310434033300
632132201235240
73120631630443
oct510461154310
9135748332246
1044103424200
1117782262410
12866a192b20
13420b246214
1421c556465a
151231d8b3a0
hexa44c4d8c8

44103424200 has 96 divisors (see below), whose sum is σ = 149149784160. Its totient is φ = 10691737600.

The previous prime is 44103424147. The next prime is 44103424201. The reversal of 44103424200 is 242430144.

It is a happy number.

It is a super-2 number, since 2×441034242002 (a number of 22 digits) contains 22 as substring.

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 (44103424201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3334569 + ... + 3347768.

It is an arithmetic number, because the mean of its divisors is an integer number (1553643585).

Almost surely, 244103424200 is an apocalyptic number.

44103424200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44103424200 is an abundant number, since it is smaller than the sum of its proper divisors (105046359960).

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

44103424200 is a wasteful number, since it uses less digits than its factorization.

44103424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6682367 (or 6682358 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 44103424200 its reverse (242430144), we get a palindrome (44345854344).

The spelling of 44103424200 in words is "forty-four billion, one hundred three million, four hundred twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 6682337 13364674 20047011 26729348 33411685 40094022 53458696 66823370 73505707 80188044 100235055 133646740 147011414 160376088 167058425 200470110 220517121 267293480 294022828 334116850 367528535 400940220 441034242 501175275 588045656 668233700 735057070 801880440 882068484 1002350550 1102585605 1336467400 1470114140 1764136968 1837642675 2004701100 2205171210 2940228280 3675285350 4009402200 4410342420 5512928025 7350570700 8820684840 11025856050 14701141400 22051712100 44103424200