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1041505225040 = 245713713575407
BaseRepresentation
bin11110010011111101000…
…11001000100101010000
310200120022021211022120002
433021332203020211100
5114031000314200130
62114243315305132
7135150320226020
oct17117643104520
93616267738502
101041505225040
11371777602875
12149a25bab1a8
13772a114c6b7
14385a28b7a80
151c15a47ab45
hexf27e8c8950

1041505225040 has 80 divisors (see below), whose sum is σ = 2787628580352. Its totient is φ = 354481001472.

The previous prime is 1041505225037. The next prime is 1041505225049. The reversal of 1041505225040 is 405225051401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1041505224994 and 1041505225012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041505225049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6710984 + ... + 6864423.

Almost surely, 21041505225040 is an apocalyptic number.

1041505225040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041505225040 is an abundant number, since it is smaller than the sum of its proper divisors (1746123355312).

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

1041505225040 is a wasteful number, since it uses less digits than its factorization.

1041505225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13575564 (or 13575558 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 1041505225040 in words is "one trillion, forty-one billion, five hundred five million, two hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 137 140 274 280 548 560 685 959 1096 1370 1918 2192 2740 3836 4795 5480 7672 9590 10960 15344 19180 38360 76720 13575407 27150814 54301628 67877035 95027849 108603256 135754070 190055698 217206512 271508140 380111396 475139245 543016280 760222792 950278490 1086032560 1520445584 1859830759 1900556980 3719661518 3801113960 7439323036 7602227920 9299153795 13018815313 14878646072 18598307590 26037630626 29757292144 37196615180 52075261252 65094076565 74393230360 104150522504 130188153130 148786460720 208301045008 260376306260 520752612520 1041505225040