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20001412410304 = 2613371759736923
BaseRepresentation
bin1001000110000111100010…
…00101001110101111000000
32121211010010211011101100111
410203003301011032233000
510110200343034112204
6110312304431001104
74133024434223113
oct443036105165700
977733124141314
1020001412410304
116411607962886
1222b04a8669194
13b21181ab9190
144d2105a8057a
1524a438d7cd04
hex1230f114ebc0

20001412410304 has 112 divisors (see below), whose sum is σ = 43902313727328. Its totient is φ = 8981169573888.

The previous prime is 20001412410271. The next prime is 20001412410323. The reversal of 20001412410304 is 40301421410002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541687587 + ... + 541724509.

It is an arithmetic number, because the mean of its divisors is an integer number (391984943994).

Almost surely, 220001412410304 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 20001412410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21951156863664).

20001412410304 is an abundant number, since it is smaller than the sum of its proper divisors (23900901317024).

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

20001412410304 is a wasteful number, since it uses less digits than its factorization.

20001412410304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54582 (or 54572 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 20001412410304 its reverse (40301421410002), we get a palindrome (60302833820306).

The spelling of 20001412410304 in words is "twenty trillion, one billion, four hundred twelve million, four hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 416 481 592 832 962 1184 1924 2368 3848 7696 15392 17597 30784 35194 36923 70388 73846 140776 147692 228761 281552 295384 457522 479999 563104 590768 651089 915044 959998 1126208 1181536 1302178 1366151 1830088 1919996 2363072 2604356 2732302 3660176 3839992 5208712 5464604 7320352 7679984 8464157 10417424 10929208 14640704 15359968 16928314 17759963 20834848 21858416 30719936 33856628 35519926 41669696 43716832 67713256 71039852 87433664 135426512 142079704 270853024 284159408 541706048 568318816 649734031 1136637632 1299468062 2598936124 5197872248 8446542403 10395744496 16893084806 20791488992 24040159147 33786169612 41582977984 48080318294 67572339224 96160636588 135144678448 192321273176 270289356896 312522068911 384642546352 540578713792 625044137822 769285092704 1250088275644 1538570185408 2500176551288 5000353102576 10000706205152 20001412410304