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12441411044010 = 2345131181520517
BaseRepresentation
bin1011010100001011110111…
…1000101100001010101010
31122001101110022211110210000
42311002331320230022222
53112320002211402020
642243301052403430
72422601522665164
oct265027570541252
948041408743700
1012441411044010
113a67411207513
12148b28b476576
136c32b2527a60
1431024b8d7934
1516896a128090
hexb50bde2c2aa

12441411044010 has 80 divisors (see below), whose sum is σ = 36026923634856. Its totient is φ = 3062501177472.

The previous prime is 12441411044003. The next prime is 12441411044047. The reversal of 12441411044010 is 1044011414421.

12441411044010 is a `hidden beast` number, since 1 + 244 + 1 + 4 + 1 + 10 + 4 + 401 + 0 = 666.

12441411044010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10751585239521 + 1689825804489 = 3278961^2 + 1299933^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 590749729 + ... + 590770788.

Almost surely, 212441411044010 is an apocalyptic number.

12441411044010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12441411044010 is an abundant number, since it is smaller than the sum of its proper divisors (23585512590846).

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

12441411044010 is a wasteful number, since it uses less digits than its factorization.

12441411044010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181520549 (or 1181520540 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 12441411044010 its reverse (1044011414421), we get a palindrome (13485422458431).

The spelling of 12441411044010 in words is "twelve trillion, four hundred forty-one billion, four hundred eleven million, forty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 1181520517 2363041034 3544561551 5907602585 7089123102 10633684653 11815205170 15359766721 17722807755 21267369306 30719533442 31901053959 35445615510 46079300163 53168423265 63802107918 76798833605 92158600326 95703161877 106336846530 138237900489 153597667210 159505269795 191406323754 230396500815 276475800978 319010539590 414713701467 460793001630 478515809385 691189502445 829427402934 957031618770 1244141104401 1382379004890 2073568507335 2488282208802 4147137014670 6220705522005 12441411044010