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12441542040 = 2332597356287
BaseRepresentation
bin10111001011001001…
…01101110110011000
31012010001221211011100
423211210231312120
5200440013321130
65414321231400
7620212235214
oct134544556630
935101854140
1012441542040
115304a20754
1224b2792560
13123378c7c5
14860517944
154cc3dcc60
hex2e592dd98

12441542040 has 96 divisors (see below), whose sum is σ = 40851982080. Its totient is φ = 3283531776.

The previous prime is 12441542033. The next prime is 12441542101. The reversal of 12441542040 is 4024514421.

12441542040 is a `hidden beast` number, since 12 + 441 + 5 + 4 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12441541995 and 12441542013.

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, 143224 + ... + 213063.

It is an arithmetic number, because the mean of its divisors is an integer number (425541480).

Almost surely, 212441542040 is an apocalyptic number.

12441542040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12441542040 is an abundant number, since it is smaller than the sum of its proper divisors (28410440040).

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

12441542040 is a wasteful number, since it uses less digits than its factorization.

12441542040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356401 (or 356394 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 12441542040 in words is "twelve billion, four hundred forty-one million, five hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1455 1746 1940 2328 2910 3492 3880 4365 5820 6984 8730 11640 17460 34920 356287 712574 1068861 1425148 1781435 2137722 2850296 3206583 3562870 4275444 5344305 6413166 7125740 8550888 10688610 12826332 14251480 16032915 21377220 25652664 32065830 34559839 42754440 64131660 69119678 103679517 128263320 138239356 172799195 207359034 276478712 311038551 345598390 414718068 518397585 622077102 691196780 829436136 1036795170 1244154204 1382393560 1555192755 2073590340 2488308408 3110385510 4147180680 6220771020 12441542040