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404241320200 = 235259212916091
BaseRepresentation
bin1011110000111101010…
…10010000100100001000
31102122102021100202112011
411320132222100210020
523110341234221300
6505412250225304
741130322346014
oct5703652204410
91378367322464
10404241320200
1114648a761003
1266417725234
132c173253773
14157cb5b3544
15a7ade3aeba
hex5e1ea90908

404241320200 has 96 divisors (see below), whose sum is σ = 956299284000. Its totient is φ = 158871372800.

The previous prime is 404241320177. The next prime is 404241320233. The reversal of 404241320200 is 2023142404.

It is a happy number.

It is a super-2 number, since 2×4042413202002 (a number of 24 digits) contains 22 as substring.

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, 25114155 + ... + 25130245.

It is an arithmetic number, because the mean of its divisors is an integer number (9961450875).

Almost surely, 2404241320200 is an apocalyptic number.

404241320200 is a gapful number since it is divisible by the number (40) 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 404241320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478149642000).

404241320200 is an abundant number, since it is smaller than the sum of its proper divisors (552057963800).

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

404241320200 is a wasteful number, since it uses less digits than its factorization.

404241320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18295 (or 18286 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 404241320200 its reverse (2023142404), we get a palindrome (406264462604).

The spelling of 404241320200 in words is "four hundred four billion, two hundred forty-one million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 1180 1475 2129 2360 2950 4258 5900 8516 10645 11800 16091 17032 21290 32182 42580 53225 64364 80455 85160 106450 125611 128728 160910 212900 251222 321820 402275 425800 502444 628055 643640 804550 949369 1004888 1256110 1609100 1898738 2512220 3140275 3218200 3797476 4746845 5024440 6280550 7594952 9493690 12561100 18987380 23734225 25122200 34257739 37974760 47468450 68515478 94936900 137030956 171288695 189873800 274061912 342577390 685154780 856443475 1370309560 1712886950 2021206601 3425773900 4042413202 6851547800 8084826404 10106033005 16169652808 20212066010 40424132020 50530165025 80848264040 101060330050 202120660100 404241320200