Search a number
-
+
20240004404200 = 23527109132634367
BaseRepresentation
bin1001001101000011111100…
…10001011101001111101000
32122122220222201002111002011
410212201332101131033220
510123103012111413300
6111014044001245304
74156202114551630
oct446417621351750
978586881074064
1020240004404200
1164a3812915209
12232a794633834
13b3a816567ca9
144dd89b3356c0
152517503b1eba
hex12687e45d3e8

20240004404200 has 96 divisors (see below), whose sum is σ = 54273983385600. Its totient is φ = 6875765533440.

The previous prime is 20240004404189. The next prime is 20240004404227. The reversal of 20240004404200 is 240440004202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66164584 + ... + 66469783.

It is an arithmetic number, because the mean of its divisors is an integer number (565353993600).

Almost surely, 220240004404200 is an apocalyptic number.

20240004404200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20240004404200 is an abundant number, since it is smaller than the sum of its proper divisors (34033978981400).

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

20240004404200 is a wasteful number, since it uses less digits than its factorization.

20240004404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132634499 (or 132634490 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 20240004404200 its reverse (240440004202), we get a palindrome (20480444408402).

The spelling of 20240004404200 in words is "twenty trillion, two hundred forty billion, four million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 109 140 175 200 218 280 350 436 545 700 763 872 1090 1400 1526 2180 2725 3052 3815 4360 5450 6104 7630 10900 15260 19075 21800 30520 38150 76300 152600 132634367 265268734 530537468 663171835 928440569 1061074936 1326343670 1856881138 2652687340 3315859175 3713762276 4642202845 5305374680 6631718350 7427524552 9284405690 13263436700 14457146003 18568811380 23211014225 26526873400 28914292006 37137622760 46422028450 57828584012 72285730015 92844056900 101200022021 115657168024 144571460030 185688113800 202400044042 289142920060 361428650075 404800088084 506000110105 578285840120 722857300150 809600176168 1012000220210 1445714600300 2024000440420 2530000550525 2891429200600 4048000880840 5060001101050 10120002202100 20240004404200