Search a number
-
+
404331212000 = 2553121783059
BaseRepresentation
bin1011110001001000000…
…01001010110011100000
31102122122112111201220002
411320210001022303200
523111032242241000
6505425221035132
741132463411152
oct5704401126340
91378575451802
10404331212000
11146526479051
1266441855aa8
132c188a68391
14157d94d2ad2
15a7b6c958d5
hex5e2404ace0

404331212000 has 96 divisors (see below), whose sum is σ = 994270062240. Its totient is φ = 161597644800.

The previous prime is 404331211993. The next prime is 404331212017. The reversal of 404331212000 is 212133404.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4826471 + ... + 4909529.

It is an arithmetic number, because the mean of its divisors is an integer number (10356979815).

Almost surely, 2404331212000 is an apocalyptic number.

404331212000 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 404331212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497135031120).

404331212000 is an abundant number, since it is smaller than the sum of its proper divisors (589938850240).

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

404331212000 is a wasteful number, since it uses less digits than its factorization.

404331212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84301 (or 84283 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 404331212000 its reverse (212133404), we get a palindrome (404543345404).

The spelling of 404331212000 in words is "four hundred four billion, three hundred thirty-one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1217 2000 2434 4000 4868 6085 9736 12170 19472 24340 30425 38944 48680 60850 83059 97360 121700 152125 166118 194720 243400 304250 332236 415295 486800 608500 664472 830590 973600 1217000 1328944 1661180 2076475 2434000 2657888 3322360 4152950 4868000 6644720 8305900 10382375 13289440 16611800 20764750 33223600 41529500 66447200 83059000 101082803 166118000 202165606 332236000 404331212 505414015 808662424 1010828030 1617324848 2021656060 2527070075 3234649696 4043312120 5054140150 8086624240 10108280300 12635350375 16173248480 20216560600 25270700750 40433121200 50541401500 80866242400 101082803000 202165606000 404331212000