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2394924004404 = 2233177271794257
BaseRepresentation
bin100010110110011100100…
…110000011010000110100
322110221201101000221001000
4202312130212003100310
5303214301021120104
65032113553003300
7335012310104061
oct42663446032064
98427641027030
102394924004404
1184375518a5a8
1232819b253530
13144ac0386309
1483cb484bc68
154246de5c639
hex22d9c983434

2394924004404 has 96 divisors (see below), whose sum is σ = 6583347912960. Its totient is φ = 750314797056.

The previous prime is 2394924004381. The next prime is 2394924004427. The reversal of 2394924004404 is 4044004294932.

2394924004404 is a `hidden beast` number, since 239 + 4 + 9 + 2 + 4 + 0 + 0 + 4 + 404 = 666.

It is an interprime number because it is at equal distance from previous prime (2394924004381) and next prime (2394924004427).

It is a super-2 number, since 2×23949240044042 (a number of 26 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 2394924004404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437644 + ... + 2231900.

It is an arithmetic number, because the mean of its divisors is an integer number (68576540760).

Almost surely, 22394924004404 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 2394924004404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291673956480).

2394924004404 is an abundant number, since it is smaller than the sum of its proper divisors (4188423908556).

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

2394924004404 is a wasteful number, since it uses less digits than its factorization.

2394924004404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795014 (or 1795006 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2394924004404 in words is "two trillion, three hundred ninety-four billion, nine hundred twenty-four million, four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 727 918 1454 1836 2181 2908 4362 6543 8724 12359 13086 19629 24718 26172 37077 39258 49436 74154 78516 111231 148308 222462 333693 444924 667386 1334772 1794257 3588514 5382771 7177028 10765542 16148313 21531084 30502369 32296626 48444939 61004738 64593252 91507107 96889878 122009476 183014214 193779756 274521321 366028428 549042642 823563963 1098085284 1304424839 1647127926 2608849678 3294255852 3913274517 5217699356 7826549034 11739823551 15653098068 22175222263 23479647102 35219470653 44350444526 46959294204 66525666789 70438941306 88700889052 133051333578 140877882612 199577000367 266102667156 399154000734 598731001101 798308001468 1197462002202 2394924004404