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404213322420 = 2232517151874807
BaseRepresentation
bin1011110000111001111…
…11011101001010110100
31102122100022200022210100
411320130333131022310
523110312102304140
6505405410154100
741126532356565
oct5703477351264
91378308608710
10404213322420
11146475978946
126640a282930
132c16a4ccc2b
14157c79a616c
15a7ab75a530
hex5e1cfdd2b4

404213322420 has 144 divisors (see below), whose sum is σ = 1306837179648. Its totient is φ = 100777651200.

The previous prime is 404213322419. The next prime is 404213322431. The reversal of 404213322420 is 24223312404.

404213322420 is a `hidden beast` number, since 4 + 0 + 4 + 213 + 3 + 22 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24657 + ... + 899463.

It is an arithmetic number, because the mean of its divisors is an integer number (9075258192).

Almost surely, 2404213322420 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 404213322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653418589824).

404213322420 is an abundant number, since it is smaller than the sum of its proper divisors (902623857228).

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

404213322420 is a wasteful number, since it uses less digits than its factorization.

404213322420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874990 (or 874985 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 404213322420 its reverse (24223312404), we get a palindrome (428436634824).

The spelling of 404213322420 in words is "four hundred four billion, two hundred thirteen million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 151 153 170 180 204 255 302 306 340 453 510 604 612 755 765 906 1020 1359 1510 1530 1812 2265 2567 2718 3020 3060 4530 5134 5436 6795 7701 9060 10268 12835 13590 15402 23103 25670 27180 30804 38505 46206 51340 77010 92412 115515 154020 231030 462060 874807 1749614 2624421 3499228 4374035 5248842 7873263 8748070 10497684 13122105 14871719 15746526 17496140 26244210 29743438 31493052 39366315 44615157 52488420 59486876 74358595 78732630 89230314 132095857 133845471 148717190 157465260 178460628 223075785 264191714 267690942 297434380 396287571 446151570 528383428 535381884 660479285 669227355 792575142 892303140 1188862713 1320958570 1338454710 1585150284 1981437855 2245629569 2377725426 2641917140 2676909420 3962875710 4491259138 4755450852 5944313565 6736888707 7925751420 8982518276 11228147845 11888627130 13473777414 20210666121 22456295690 23777254260 26947554828 33684443535 40421332242 44912591380 67368887070 80842664484 101053330605 134737774140 202106661210 404213322420