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441140031200 = 255211172948797
BaseRepresentation
bin1100110101101011111…
…11101010111011100000
31120011122210210111022002
412122311333222323200
524211423321444300
6534353521503132
743604601252641
oct6326577527340
91504583714262
10441140031200
111600a5057790
12715b4aa1aa8
13327a394937b
14174cbd2d6c8
15b71d5225d5
hex66b5feaee0

441140031200 has 144 divisors (see below), whose sum is σ = 1243944538704. Its totient is φ = 150978355200.

The previous prime is 441140031193. The next prime is 441140031229. The reversal of 441140031200 is 2130041144.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324799 + ... + 1623998.

It is an arithmetic number, because the mean of its divisors is an integer number (8638503741).

Almost surely, 2441140031200 is an apocalyptic number.

441140031200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441140031200 is an abundant number, since it is smaller than the sum of its proper divisors (802804507504).

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

441140031200 is a wasteful number, since it uses less digits than its factorization.

441140031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948845 (or 2948832 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 441140031200 its reverse (2130041144), we get a palindrome (443270072344).

The spelling of 441140031200 in words is "four hundred forty-one billion, one hundred forty million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 68 80 85 88 100 110 136 160 170 176 187 200 220 272 275 340 352 374 400 425 440 544 550 680 748 800 850 880 935 1100 1360 1496 1700 1760 1870 2200 2720 2992 3400 3740 4400 4675 5984 6800 7480 8800 9350 13600 14960 18700 29920 37400 74800 149600 2948797 5897594 11795188 14743985 23590376 29487970 32436767 47180752 50129549 58975940 64873534 73719925 94361504 100259098 117951880 129747068 147439850 162183835 200518196 235903760 250647745 259494136 294879700 324367670 401036392 471807520 501295490 518988272 551425039 589759400 648735340 802072784 810919175 1002590980 1037976544 1102850078 1179518800 1253238725 1297470680 1604145568 1621838350 2005181960 2205700156 2359037600 2506477450 2594941360 2757125195 3243676700 4010363920 4411400312 5012954900 5189882720 5514250390 6487353400 8020727840 8822800624 10025909800 11028500780 12974706800 13785625975 17645601248 20051819600 22057001560 25949413600 27571251950 40103639200 44114003120 55142503900 88228006240 110285007800 220570015600 441140031200