Search a number
-
+
20330443344400 = 245277699441967
BaseRepresentation
bin1001001111101100011001…
…10110101000101000010000
32122222120102112220122221221
410213312030312220220100
510131043221444010100
6111123402101454424
74165553224062340
oct447661466505020
978876375818857
1020330443344400
1165291022885a2
122344214411414
13b461ca2b3ba7
14503dda652d20
15253c9504501a
hex127d8cda8a10

20330443344400 has 120 divisors (see below), whose sum is σ = 55894184487680. Its totient is φ = 6961372692480.

The previous prime is 20330443344377. The next prime is 20330443344427. The reversal of 20330443344400 is 444334403302.

It is a super-2 number, since 2×203304433444002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2567784 + ... + 6874183.

Almost surely, 220330443344400 is an apocalyptic number.

20330443344400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20330443344400 is an abundant number, since it is smaller than the sum of its proper divisors (35563741143280).

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

20330443344400 is a wasteful number, since it uses less digits than its factorization.

20330443344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9442761 (or 9442750 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 34.

Adding to 20330443344400 its reverse (444334403302), we get a palindrome (20774777747702).

The spelling of 20330443344400 in words is "twenty trillion, three hundred thirty billion, four hundred forty-three million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 769 1400 1538 2800 3076 3845 5383 6152 7690 10766 12304 15380 19225 21532 26915 30760 38450 43064 53830 61520 76900 86128 107660 134575 153800 215320 269150 307600 430640 538300 1076600 2153200 9441967 18883934 37767868 47209835 66093769 75535736 94419670 132187538 151071472 188839340 236049175 264375076 330468845 377678680 472098350 528750152 660937690 755357360 944196700 1057500304 1321875380 1652344225 1888393400 2643750760 3304688450 3776786800 5287501520 6609376900 7260872623 13218753800 14521745246 26437507600 29043490492 36304363115 50826108361 58086980984 72608726230 101652216722 116173961968 145217452460 181521815575 203304433444 254130541805 290434904920 363043631150 406608866888 508261083610 580869809840 726087262300 813217733776 1016522167220 1270652709025 1452174524600 2033044334440 2541305418050 2904349049200 4066088668880 5082610836100 10165221672200 20330443344400