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1002230031424 = 26293891388161
BaseRepresentation
bin11101001010110011001…
…00001010010001000000
310112210221010121202111111
432211121210022101000
5112410031342001144
62044230151453104
7132260123464246
oct16453144122100
93483833552444
101002230031424
113570527a7576
121422a4987194
13736822b356b
14367186a0796
151b10c416534
hexe95990a440

1002230031424 has 56 divisors (see below), whose sum is σ = 2062669915800. Its totient is φ = 482591047680.

The previous prime is 1002230031401. The next prime is 1002230031443. The reversal of 1002230031424 is 4241300322001.

It can be written as a sum of positive squares in 4 ways, for example, as 293094400 + 1001936937024 = 17120^2 + 1000968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002230031395 and 1002230031404.

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, 27904 + ... + 1416064.

Almost surely, 21002230031424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002230031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031334957900).

1002230031424 is an abundant number, since it is smaller than the sum of its proper divisors (1060439884376).

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

1002230031424 is a wasteful number, since it uses less digits than its factorization.

1002230031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388591 (or 1388581 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1002230031424 its reverse (4241300322001), we get a palindrome (5243530353425).

The spelling of 1002230031424 in words is "one trillion, two billion, two hundred thirty million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 389 464 778 928 1556 1856 3112 6224 11281 12448 22562 24896 45124 90248 180496 360992 721984 1388161 2776322 5552644 11105288 22210576 40256669 44421152 80513338 88842304 161026676 322053352 539994629 644106704 1079989258 1288213408 2159978516 2576426816 4319957032 8639914064 15659844241 17279828128 31319688482 34559656256 62639376964 125278753928 250557507856 501115015712 1002230031424