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4243245445600 = 255272812696521
BaseRepresentation
bin111101101111110101001…
…000110011000111100000
3120000122120001220122022221
4331233311020303013200
51024010131313224400
613005153044040424
7615364402116340
oct75576510630740
916018501818287
104243245445600
111396606484157
12586452393114
1324a1a068b075
14109534a46d20
157559acdec1a
hex3dbf52331e0

4243245445600 has 144 divisors (see below), whose sum is σ = 11880789643296. Its totient is φ = 1449649152000.

The previous prime is 4243245445583. The next prime is 4243245445603. The reversal of 4243245445600 is 65445423424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243245445603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225340 + ... + 2921860.

It is an arithmetic number, because the mean of its divisors is an integer number (82505483634).

Almost surely, 24243245445600 is an apocalyptic number.

4243245445600 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 4243245445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940394821648).

4243245445600 is an abundant number, since it is smaller than the sum of its proper divisors (7637544197696).

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

4243245445600 is a wasteful number, since it uses less digits than its factorization.

4243245445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696829 (or 2696816 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 43.

The spelling of 4243245445600 in words is "four trillion, two hundred forty-three billion, two hundred forty-five million, four hundred forty-five thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 281 350 400 560 562 700 800 1120 1124 1400 1405 1967 2248 2800 2810 3934 4496 5600 5620 7025 7868 8992 9835 11240 14050 15736 19670 22480 28100 31472 39340 44960 49175 56200 62944 78680 98350 112400 157360 196700 224800 314720 393400 786800 1573600 2696521 5393042 10786084 13482605 18875647 21572168 26965210 37751294 43144336 53930420 67413025 75502588 86288672 94378235 107860840 134826050 151005176 188756470 215721680 269652100 302010352 377512940 431443360 471891175 539304200 604020704 755025880 757722401 943782350 1078608400 1510051760 1515444802 1887564700 2157216800 3020103520 3030889604 3775129400 3788612005 5304056807 6061779208 7550258800 7577224010 10608113614 12123558416 15100517600 15154448020 18943060025 21216227228 24247116832 26520284035 30308896040 37886120050 42432454456 53040568070 60617792080 75772240100 84864908912 106081136140 121235584160 132601420175 151544480200 169729817824 212162272280 265202840350 303088960400 424324544560 530405680700 606177920800 848649089120 1060811361400 2121622722800 4243245445600