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4241344431424 = 26293173716359
BaseRepresentation
bin111101101110000011110…
…101000000010101000000
3120000110122120211010010111
4331232003311000111000
51023442233133301144
613004240254441104
7615266316554062
oct75560365002500
916013576733114
104241344431424
1113958203a6061
12586001803194
13249c598909c9
141093d4397732
15754d8e81534
hex3db83d40540

4241344431424 has 56 divisors (see below), whose sum is σ = 8987498611200. Its totient is φ = 1981495703040.

The previous prime is 4241344431409. The next prime is 4241344431433.

4241344431424 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36800644 + ... + 36915715.

Almost surely, 24241344431424 is an apocalyptic number.

It is an amenable number.

4241344431424 is an abundant number, since it is smaller than the sum of its proper divisors (4746154179776).

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

4241344431424 is a wasteful number, since it uses less digits than its factorization.

4241344431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73716431 (or 73716421 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

The spelling of 4241344431424 in words is "four trillion, two hundred forty-one billion, three hundred forty-four million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 232 248 464 496 899 928 992 1798 1856 1984 3596 7192 14384 28768 57536 73716359 147432718 294865436 589730872 1179461744 2137774411 2285207129 2358923488 4275548822 4570414258 4717846976 8551097644 9140828516 17102195288 18281657032 34204390576 36563314064 66271006741 68408781152 73126628128 132542013482 136817562304 146253256256 265084026964 530168053928 1060336107856 2120672215712 4241344431424