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421323121323124 = 22894409268426381
BaseRepresentation
bin101111111001100001110111…
…0111110110110110001110100
32001020210002121201220222122121
41133303003232332312301310
5420210424223024314444
64052025100411005324
7154513406466440146
oct13763035676666164
92036702551828577
10421323121323124
11112279150130129
123b3072b0a39844
13151127a4b862b7
14760820dac0c96
1533a98abbb2084
hex17f30eefb6c74

421323121323124 has 24 divisors (see below), whose sum is σ = 745769017110600. Its totient is φ = 208247333015040.

The previous prime is 421323121323079. The next prime is 421323121323127.

421323121323124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 25369555712400 + 395953565610724 = 5036820^2 + 19898582^2 .

It is a super-2 number, since 2×4213231213231242 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 421323121323124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421323121323127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132643587 + ... + 135782794.

It is an arithmetic number, because the mean of its divisors is an integer number (31073709046275).

Almost surely, 2421323121323124 is an apocalyptic number.

It is an amenable number.

421323121323124 is a deficient number, since it is larger than the sum of its proper divisors (324445895787476).

421323121323124 is a wasteful number, since it uses less digits than its factorization.

421323121323124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268430883 (or 268430881 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The spelling of 421323121323124 in words is "four hundred twenty-one trillion, three hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 89 178 356 4409 8818 17636 392401 784802 1569604 268426381 536852762 1073705524 23889947909 47779895818 95559791636 1183491913829 2366983827658 4733967655316 105330780330781 210661560661562 421323121323124