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1241512444040 = 2351125756319501
BaseRepresentation
bin10010000100001111111…
…010001000000010001000
311101200120010200202122212
4102010033322020002020
5130320104141202130
62350202024204252
7155460556440461
oct22041772100210
94350503622585
101241512444040
11439582454790
12180744009688
13900c6ac866b
1444137917d68
1522464378e95
hex1210fe88088

1241512444040 has 128 divisors (see below), whose sum is σ = 3064797025920. Its totient is φ = 448880640000.

The previous prime is 1241512443991. The next prime is 1241512444049. The reversal of 1241512444040 is 404442151421.

It is a junction number, because it is equal to n+sod(n) for n = 1241512443988 and 1241512444006.

It is not an unprimeable number, because it can be changed into a prime (1241512444049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63654290 + ... + 63673790.

It is an arithmetic number, because the mean of its divisors is an integer number (23943726765).

Almost surely, 21241512444040 is an apocalyptic number.

1241512444040 is a gapful number since it is divisible by the number (10) 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 1241512444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532398512960).

1241512444040 is an abundant number, since it is smaller than the sum of its proper divisors (1823284581880).

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

1241512444040 is a wasteful number, since it uses less digits than its factorization.

1241512444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20343 (or 20339 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

Adding to 1241512444040 its reverse (404442151421), we get a palindrome (1645954595461).

The spelling of 1241512444040 in words is "one trillion, two hundred forty-one billion, five hundred twelve million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 257 440 514 563 1028 1126 1285 2056 2252 2570 2815 2827 4504 5140 5630 5654 6193 10280 11260 11308 12386 14135 19501 22520 22616 24772 28270 30965 39002 49544 56540 61930 78004 97505 113080 123860 144691 156008 195010 214511 247720 289382 390020 429022 578764 723455 780040 858044 1072555 1157528 1446910 1591601 1716088 2145110 2893820 3183202 4290220 5011757 5787640 6366404 7958005 8580440 10023514 10979063 12732808 15916010 20047028 21958126 25058785 31832020 40094056 43916252 50117570 54895315 55129327 63664040 87832504 100235140 109790630 110258654 120769693 200470280 219581260 220517308 241539386 275646635 439162520 441034616 483078772 551293270 603848465 966157544 1102586540 1207696930 2205173080 2415393860 2821619191 4830787720 5643238382 11286476764 14108095955 22572953528 28216191910 31037811101 56432383820 62075622202 112864767640 124151244404 155189055505 248302488808 310378111010 620756222020 1241512444040