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421121363121124 = 2211811621510110781
BaseRepresentation
bin101111111000000011111010…
…1010000011001001111100100
32001020001210211212021101102121
41133300013311100121033210
5420144123022424333444
64051352252232315324
7154463004646142611
oct13760076520311744
92036053755241377
10421121363121124
11112200626963826
123b294184542b44
13150c9760520113
1475dc5502c7508
1533a44ee1de084
hex17f01f54193e4

421121363121124 has 48 divisors (see below), whose sum is σ = 738254577058992. Its totient is φ = 210191889600000.

The previous prime is 421121363121101. The next prime is 421121363121131.

421121363121124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 4550405716224 + 416570957404900 = 2133168^2 + 20410070^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 421121363121124.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39061432614 + ... + 39061443394.

It is an arithmetic number, because the mean of its divisors is an integer number (15380303688729).

Almost surely, 2421121363121124 is an apocalyptic number.

It is an amenable number.

421121363121124 is a deficient number, since it is larger than the sum of its proper divisors (317133213937868).

421121363121124 is a wasteful number, since it uses less digits than its factorization.

421121363121124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18688 (or 18686 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The spelling of 421121363121124 in words is "four hundred twenty-one trillion, one hundred twenty-one billion, three hundred sixty-three million, one hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 1181 1621 2362 3242 4724 5101 6484 10202 10781 20404 21562 43124 1914401 3828802 6024281 7657604 8268721 12048562 12732361 16537442 17476001 24097124 25464722 33074884 34952002 50929444 54993881 69904004 109987762 219975524 9765359501 19530719002 20639157181 39061438004 41278314362 64947773461 82556628724 89145081101 129895546922 178290162202 259791093844 356580324404 105280340780281 210560681560562 421121363121124