Search a number
-
+
21044104400 = 24521114932099
BaseRepresentation
bin10011100110010100…
…111000110011010000
32000022121012021020002
4103212110320303100
5321044242320100
613400104105132
71343330636024
oct234624706320
960277167202
1021044104400
118a19937120
1240b37651a8
131ca4ab78a7
141038c34384
158327602d5
hex4e6538cd0

21044104400 has 120 divisors (see below), whose sum is σ = 55526580000. Its totient is φ = 7600806400.

The previous prime is 21044104397. The next prime is 21044104409. The reversal of 21044104400 is 440144012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21044104409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639551 + ... + 671649.

It is an arithmetic number, because the mean of its divisors is an integer number (462721500).

Almost surely, 221044104400 is an apocalyptic number.

21044104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21044104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27763290000).

21044104400 is an abundant number, since it is smaller than the sum of its proper divisors (34482475600).

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

21044104400 is a wasteful number, since it uses less digits than its factorization.

21044104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32277 (or 32266 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21044104400 its reverse (440144012), we get a palindrome (21484248412).

The spelling of 21044104400 in words is "twenty-one billion, forty-four million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 149 176 200 220 275 298 400 440 550 596 745 880 1100 1192 1490 1639 2200 2384 2980 3278 3725 4400 5960 6556 7450 8195 11920 13112 14900 16390 26224 29800 32099 32780 40975 59600 64198 65560 81950 128396 131120 160495 163900 256792 320990 327800 353089 513584 641980 655600 706178 802475 1283960 1412356 1604950 1765445 2567920 2824712 3209900 3530890 4782751 5649424 6419800 7061780 8827225 9565502 12839600 14123560 17654450 19131004 23913755 28247120 35308900 38262008 47827510 52610261 70617800 76524016 95655020 105220522 119568775 141235600 191310040 210441044 239137550 263051305 382620080 420882088 478275100 526102610 841764176 956550200 1052205220 1315256525 1913100400 2104410440 2630513050 4208820880 5261026100 10522052200 21044104400