Search a number
-
+
404211342300 = 223525359430883
BaseRepresentation
bin1011110000111001101…
…11111001101111011100
31102122100011221201120120
411320130313321233130
523110311100423200
6505405255514540
741126506501623
oct5703467715734
91378304851516
10404211342300
11146474846187
1266409688a50
132c169c8886c
14157c760c6ba
15a7ab4b89a0
hex5e1cdf9bdc

404211342300 has 144 divisors (see below), whose sum is σ = 1211783690880. Its totient is φ = 103963208960.

The previous prime is 404211342259. The next prime is 404211342319. The reversal of 404211342300 is 3243112404.

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, 722659 + ... + 1153541.

It is an arithmetic number, because the mean of its divisors is an integer number (8415164520).

Almost surely, 2404211342300 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 404211342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605891845440).

404211342300 is an abundant number, since it is smaller than the sum of its proper divisors (807572348580).

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

404211342300 is a wasteful number, since it uses less digits than its factorization.

404211342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431012 (or 431005 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 404211342300 its reverse (3243112404), we get a palindrome (407454454704).

The spelling of 404211342300 in words is "four hundred four billion, two hundred eleven million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 59 60 75 100 106 118 150 159 177 212 236 265 295 300 318 354 530 590 636 708 795 885 1060 1180 1325 1475 1590 1770 2650 2950 3127 3180 3540 3975 4425 5300 5900 6254 7950 8850 9381 12508 15635 15900 17700 18762 31270 37524 46905 62540 78175 93810 156350 187620 234525 312700 430883 469050 861766 938100 1292649 1723532 2154415 2585298 4308830 5170596 6463245 8617660 10772075 12926490 21544150 22836799 25422097 25852980 32316225 43088300 45673598 50844194 64632450 68510397 76266291 91347196 101688388 114183995 127110485 129264900 137020794 152532582 228367990 254220970 274041588 305065164 342551985 381331455 456735980 508441940 570919975 635552425 685103970 762662910 1141839950 1271104850 1347371141 1370207940 1525325820 1712759925 1906657275 2283679900 2542209700 2694742282 3425519850 3813314550 4042113423 5389484564 6736855705 6851039700 7626629100 8084226846 13473711410 16168453692 20210567115 26947422820 33684278525 40421134230 67368557050 80842268460 101052835575 134737114100 202105671150 404211342300