Search a number
-
+
404324411411100 = 2235247109792611849
BaseRepresentation
bin101101111101110110001110…
…0111010101000101010011100
31222000121000222102021000110010
41123323230130322220222130
5410443422343310123400
63551532023111243220
7151110321556300635
oct13373543472505234
91860530872230403
10404324411411100
11107915024586a84
1239420943379510
131447b82277992b
1471bb597c1a88c
1531b2614953450
hex16fbb1cea8a9c

404324411411100 has 144 divisors (see below), whose sum is σ = 1194844900032000. Its totient is φ = 105516151825920.

The previous prime is 404324411411093. The next prime is 404324411411119. The reversal of 404324411411100 is 1114114423404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153497976 + ... + 156109824.

It is an arithmetic number, because the mean of its divisors is an integer number (8297534028000).

Almost surely, 2404324411411100 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 404324411411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597422450016000).

404324411411100 is an abundant number, since it is smaller than the sum of its proper divisors (790520488620900).

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

404324411411100 is a wasteful number, since it uses less digits than its factorization.

404324411411100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622892 (or 2622885 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 404324411411100 its reverse (1114114423404), we get a palindrome (405438525834504).

The spelling of 404324411411100 in words is "four hundred four trillion, three hundred twenty-four billion, four hundred eleven million, four hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 10979 14100 21958 32937 43916 54895 65874 109790 131748 164685 219580 274475 329370 516013 548950 658740 823425 1032026 1097900 1548039 1646850 2064052 2580065 2611849 3096078 3293700 5160130 5223698 6192156 7740195 7835547 10320260 10447396 12900325 13059245 15480390 15671094 25800650 26118490 30960780 31342188 38700975 39177735 51601300 52236980 65296225 77401950 78355470 122756903 130592450 154803900 156710940 195888675 245513806 261184900 368270709 391777350 491027612 613784515 736541418 783554700 1227569030 1473082836 1841353545 2455138060 3068922575 3682707090 6137845150 7365414180 9206767725 12275690300 18413535450 28675490171 36827070900 57350980342 86026470513 114701960684 143377450855 172052941026 286754901710 344105882052 430132352565 573509803420 716887254275 860264705130 1347748038037 1433774508550 1720529410260 2150661762825 2695496076074 2867549017100 4043244114111 4301323525650 5390992152148 6738740190185 8086488228222 8602647051300 13477480380370 16172976456444 20216220570555 26954960760740 33693700950925 40432441141110 67387401901850 80864882282220 101081102852775 134774803803700 202162205705550 404324411411100