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2044232003424 = 2531314331143061
BaseRepresentation
bin11101101111110101101…
…110001110111101100000
321020102112001011102210010
4131233311232032331200
5231443041343102144
64203035054204520
7300455655221202
oct35576556167540
97212461142703
102044232003424
11718a54744716
122902291b3740
1311aa02319470
1470d27124772
15382962b65b9
hex1dbf5b8ef60

2044232003424 has 96 divisors (see below), whose sum is σ = 5782924403424. Its totient is φ = 628554977280.

The previous prime is 2044232003423. The next prime is 2044232003441. The reversal of 2044232003424 is 4243002324402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2044232003391 and 2044232003400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044232003423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1216854 + ... + 2359914.

It is an arithmetic number, because the mean of its divisors is an integer number (60238795869).

Almost surely, 22044232003424 is an apocalyptic number.

2044232003424 is a gapful number since it is divisible by the number (24) 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 2044232003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891462201712).

2044232003424 is an abundant number, since it is smaller than the sum of its proper divisors (3738692400000).

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

2044232003424 is a wasteful number, since it uses less digits than its factorization.

2044232003424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144520 (or 1144512 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 2044232003424 its reverse (4243002324402), we get a palindrome (6287234327826).

The spelling of 2044232003424 in words is "two trillion, forty-four billion, two hundred thirty-two million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1433 2866 4299 5732 8598 11464 17196 18629 22928 34392 37258 45856 55887 68784 74516 111774 137568 149032 223548 298064 447096 596128 894192 1143061 1788384 2286122 3429183 4572244 6858366 9144488 13716732 14859793 18288976 27433464 29719586 36577952 44579379 54866928 59439172 89158758 109733856 118878344 178317516 237756688 356635032 475513376 713270064 1426540128 1638006413 3276012826 4914019239 6552025652 9828038478 13104051304 19656076956 21294083369 26208102608 39312153912 42588166738 52416205216 63882250107 78624307824 85176333476 127764500214 157248615648 170352666952 255529000428 340705333904 511058000856 681410667808 1022116001712 2044232003424