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1014041323140 = 2235231933380141
BaseRepresentation
bin11101100000110011001…
…00101010011010000100
310120221102021122112202020
432300121210222122010
5113103224034320030
62053502200443140
7133155614013126
oct16603144523204
93527367575666
101014041323140
1136106398888a
121446404794b0
1374815315581
14371191d9216
151b59e30d510
hexec1992a684

1014041323140 has 96 divisors (see below), whose sum is σ = 2964304740096. Its totient is φ = 258519528960.

The previous prime is 1014041323111. The next prime is 1014041323153. The reversal of 1014041323140 is 413231404101.

It is a self number, because there is not a number n which added to its sum of digits gives 1014041323140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2477470 + ... + 2857610.

It is an arithmetic number, because the mean of its divisors is an integer number (30878174376).

Almost surely, 21014041323140 is an apocalyptic number.

1014041323140 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 1014041323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482152370048).

1014041323140 is an abundant number, since it is smaller than the sum of its proper divisors (1950263416956).

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

1014041323140 is a wasteful number, since it uses less digits than its factorization.

1014041323140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382109 (or 382107 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1014041323140 its reverse (413231404101), we get a palindrome (1427272727241).

The spelling of 1014041323140 in words is "one trillion, fourteen billion, forty-one million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1933 3866 5799 7732 9665 11598 19330 23196 28995 38660 44459 57990 88918 115980 133377 177836 222295 266754 380141 444590 533508 666885 760282 889180 1140423 1333770 1520564 1900705 2280846 2667540 3801410 4561692 5702115 7602820 8743243 11404230 17486486 22808460 26229729 34972972 43716215 52459458 87432430 104918916 131148645 174864860 262297290 524594580 734812553 1469625106 2204437659 2939250212 3674062765 4408875318 7348125530 8817750636 11022188295 14696251060 16900688719 22044376590 33801377438 44088753180 50702066157 67602754876 84503443595 101404132314 169006887190 202808264628 253510330785 338013774380 507020661570 1014041323140