Search a number
-
+
404213304111400 = 23527476143059333
BaseRepresentation
bin101101111101000010011111…
…0011001111011000100101000
31222000012102012011021101110001
41123322010332121323010220
5410440112321323031100
63551405010044232344
7151066306330652320
oct13372047631730450
91860172164241401
10404213304111400
11107881999396253
12394032b583b6b4
13144711c6a44604
1471b6057958280
1531ae7b0531d6a
hex16fa13e67b128

404213304111400 has 96 divisors (see below), whose sum is σ = 1096904674679040. Its totient is φ = 135638750050560.

The previous prime is 404213304111389. The next prime is 404213304111431. The reversal of 404213304111400 is 4111403312404.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 3071463867 + ... + 3071595466.

It is an arithmetic number, because the mean of its divisors is an integer number (11426090361240).

Almost surely, 2404213304111400 is an apocalyptic number.

404213304111400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404213304111400 is an abundant number, since it is smaller than the sum of its proper divisors (692691370567640).

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

404213304111400 is a wasteful number, since it uses less digits than its factorization.

404213304111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143059403 (or 6143059394 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 404213304111400 its reverse (4111403312404), we get a palindrome (408324707423804).

The spelling of 404213304111400 in words is "four hundred four trillion, two hundred thirteen billion, three hundred four million, one hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 140 175 188 200 235 280 329 350 376 470 658 700 940 1175 1316 1400 1645 1880 2350 2632 3290 4700 6580 8225 9400 13160 16450 32900 65800 6143059333 12286118666 24572237332 30715296665 43001415331 49144474664 61430593330 86002830662 122861186660 153576483325 172005661324 215007076655 245722373320 288723788651 307152966650 344011322648 430014153310 577447577302 614305933300 860028306620 1075035383275 1154895154604 1228611866600 1443618943255 1720056613240 2021066520557 2150070766550 2309790309208 2887237886510 4042133041114 4300141533100 5774475773020 7218094716275 8084266082228 8600283066200 10105332602785 11548951546040 14436189432550 16168532164456 20210665205570 28872378865100 40421330411140 50526663013925 57744757730200 80842660822280 101053326027850 202106652055700 404213304111400